explain xkcd - User contributions [en]

2974: Storage Tanks

2024-08-20T08:55:32Z

172.69.195.56: /* Explanation */

{{comic
| number = 2974
| date = August 19, 2024
| title = Storage Tanks
| image = storage_tanks_2x.png
| imagesize = 321x251px
| noexpand = true
| titletext = We're considering installing a pressurization system to keep the tanks at constant pressure solely to deter them.
}}

==Explanation==
{{incomplete|Created by SUBSTITUTE CALCULUS TEACHER MR. MUNROE - PlsplsplsplsPls help . Do NOT delete this tag too soon.}}

A common question in introductory calculus courses asks [https://www.haywardflowcontrol.com/media/contentmanager/content//downloads//VessTime.pdf how long it will take a tank to empty.] Assuming the tank is shaped like a cylinder, as appears to be the case in this comic, the amount of fluid left in the tank will follow a quadratic decay, as the rate of pressure decrease will be proportional to the instantaneous pressure at any given moment. Variations of this question may consider more complicated tank geometries too, in which case the pressure at the base will not be simply proportional to the volume of fluid remaining in the tank.

The joke in the comic is that calculus teachers will actually drill a hole in a storage tank to demonstrate this principle, to protect against which a factory might station a guard to keep a lookout for them. This does not usually happen because a practical demonstration is not actually a particularly useful way of teaching the math behind it. Also, sneaking a teacher and their entire class full of loud students into a facility without permission and damaging someone else's property in this way is illegal and, if caught, will get you charged with trespassing, destruction of property, and attempted robbery, and most teachers would not consider this a proportionate risk.

The title text jokingly alludes to the fact that by maintaining a constant pressure at the base, the rate of flow would itself become constant, which would simplify the problem greatly and therefore make it much less interesting, or useful, as an example in a calculus course.

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}
:[Two characters wearing helmets are standing on scaffolding next to two large tanks labeled "Tank #3" and "Tank #4", with the person on the left talking. Miss Lenhart has drilled a hole into the base of Tank #4 and caused the liquid inside to leak out of the tank, then she runs away with the drill in her hand.]
:Left person with helmet: As head of security, your primary task is to monitor the storage tanks and watch for calculus teachers trying to drill holes in their bases.

{{comic discussion}}

[[Category:Characters with hats]]
[[Category:Comics featuring Miss Lenhart]]
[[Category:Math]]
[[Category:Physics]]

2966: Exam Numbers

2024-08-01T08:12:18Z

172.69.195.56: /* Explanation */

{{comic
| number = 2966
| date = July 31, 2024
| title = Exam Numbers
| image = exam_numbers_2x.png
| imagesize = 553x400px
| noexpand = true
| titletext = Calligraphy exam: Write down the number 37, spelled out, nicely.
}}

==Explanation==
{{incomplete|Created by 10 MORE THAN AVERAGE MATH TEACHERS - Please change this comment when editing this page. Do NOT delete this tag too soon.}}

The comic depicts various similarly formatted examination questions that might appear on test papers at various points in a student's potential academic career. While they all share a similar feel, they are asking for different things, some of which might be considered more serious and examinable proofs of study than others. The joke is that the first and last questions are the same, but have very different interpretations based on the context.
{| class="wikitable"
|+ Exam numbers
! Exam level !! Question !! Answer
|-
| Kindergarten math || Write down the biggest number you can think of || At a kindergarden-level education, it is assumed that an individual might write down a relatively small number like 300, depending upon whether they have encountered the concept of hundreds. It might also be interpreted as "what's the highest number that you (think you) can count up to". Given the nature of a child's exuberant glee at learning about ''really'' big (but otherwise normal) numbers, they may even try an answer something like "a million billion squillion gazillion". It is not certain what criteria would be used to mark this question correct or otherwise, it may actually by a stealth question in child psychology or a question that everybody "gets right" so long as they answer it.
|-
| Pre-algebra || Write down the value of x if x=3x-8 ||

''3x'' refers to the multiplication of 3 and the originally unknown number ''x'', as a convenient shorthand.

By subtracting ''3x'' from both sides, ''-2x = -8''. Divide both sides by -2 to find ''x''=4. Alternately, subtract ''x'' from both sides to give ''0 = 2x - 8'', and as taking 8 from two ''x''s makes it zero, one ''x'' is half that

(Verify by plugging ''x''=4 into the original equation. '''4''' = (3*'''4''') - 8 -> '''4''' = 12 - 8 -> '''4''' = 4.)
|-
| Calculus || Write down the value of ∫0π x sin2 x dx || The integral of the expression is ''((x-sin(2*x))*2*x-cos(2*x))/8 + C''. Plugging in values for ''x'' gives the result as π2/4 = 2.4674...

If one assumes sin2 is an {{w|iterated function}} instead of a square, one instead gets π2{{w|Struve function|H0(1)}}/2 = 2.8062...
|-
| PhD Cosmology || Write down the Hubble constant to within 1% || The exact value of the Hubble constant is not known to this level of accuracy; it is about 2.3×10-18 Hz. Different methods of measuring it have come up with significantly different values, and resolving this difference (the {{w|Hubble's_law#Hubble_tension|Hubble tension}}) is one of the great challenges of modern cosmology. This question might have a different acceptable answer in the future, depending upon further developments in cosmology.
|-
| Game Theory || Write down 10 more than the average of the class's answers || Game Theory studies "games" in which two or more participants' take actions that will succeed or fail based on other participants' decisions. In this case, all students' answers will be averaged, and the best answer will be 10 more than that average. If a student knew what everyone else was thinking, this would incentivise them to answer 10 more than the consensus (taking into account their own forthcoming answer), which would not necessarily be the largest number written down. For instance, if the answers end up being 30, 40, 50, 60, and 70, the most correct of these answers is 60.

In reality, most game theory exams test your understanding of game theory as an academic subject, not your ability to win games. (A type of class where actual results may result in better grades is a business negotiation class where the results of practice negotiations can determine one's grade on the assignment.)

Something similar to this question is found in the title text of [[2385: Final Exam]].
|-
| Postgraduate Math || Write down the biggest number you can think of || This question echoes the very first example, but would be expected to be answered very differently (unlike a revisiting of most of the others).
Postgraduate math students can probably think of ''very'' large numbers. While the "best" answer could be "infinity" since, depending on your definition of the word "number", infinity may be the largest possible number that you will have encountered, students familiar with the field of [https://googology.fandom.com/wiki/Googology#History Googology] may consider infinity a concept rather than a number, and might give an answer such as Rayo's Number, which was the winning entry in the [https://googology.fandom.com/wiki/Big_Number_Duel Big Number Duel].

This might heavily depend upon the branch of mathematics you are studying, however, as named (finite) numbers or ones with specific and useful notations might satisfy some questioning contexts, whilst the existence of a whole further set of trans-finite numbers (i.e. increasingly large types of "infinity") would be important considerations in others. For those associated with more computational mathematics, any infinity be {{w|NaN|Not a Number}}, and their answer might instead be the ceiling of some binary representation (typically ''28n-1'' for some value of ''n''), the largest value reliably storable in byte form (e.g. a {{w|Integer (computer science)|double quadword}}).

As with the kindergarten question, there may be no previously anticipated "correct" answer. It could be another "correct just so long as you answer it" (or perhaps "sensibly" so) or the mark goes only to those giving the greatest number across all submissions.
|-
| Calligraphy (title text) || Write down the number 37, spelled out (as "thirty-seven" or "thirty seven"), nicely || Calligraphy is the art of artistic writing. The title text expands the joke outside the realm of math and points out that since calligraphy does not require any math skills, the only way a calligraphy exam would even mention numbers is if one had to write them out in such a way as to showcase their calligraphic skill. {{w|37}} is a number that some people believe [http://thirty-seven.org mysteriously appears more often than it should]; this was a subject of a [https://www.youtube.com/watch?v=d6iQrh2TK98 recent Veritasium video].
|}

This final exam question, un-numbered and therefore possibly the ''only'' question upon the whole of each final paper, in some ways (for some instances) echoes the question "What is your name?" that Randall will be aware was the sole question given to Discworld's {{w|List of Discworld characters#Victor Tugelbend|Victor Tugelbend}} in an attempt to ensure he comprehensively passed (or utterly failed) his final student-wizard's exam, after many prior times of deliberately not-quite-passing.

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}
:[6 different math test questions.]

:[The first panel:]
:Kindergarten math final exam
:Q. Write down the biggest number you can think of
:A. [empty box]

:[The second panel:]
:Pre-algebra final exam
:Q. Write down the value of x if x=3x-8
:A. [empty box]

:[The third panel:]
:Calculus final exam
:Q. Write down the value of [integral sign, from 0 to pi] x sin^2 x dx
:A. [empty box]

:[The fourth panel:]
:PhD cosmology final exam
:Q. Write down the Hubble constant to within 1%
:A. [empty box]

:[The fifth panel:]
:Game theory final exam
:Q. Write down 10 more than the average of the class's answers
:A. [empty box]

:[The sixth panel:]
:Postgraduate math final exam
:Q. Write down the biggest number you can think of
:A. [empty box]

{{comic discussion}}

[[Category:Math]]
[[Category:Cosmology]]

2959: Beam of Light

2024-07-18T09:30:31Z

172.69.195.56: /* Explanation */ relates == tells the story

{{comic
| number = 2959
| date = July 15, 2024
| title = Beam of Light
| image = beam_of_light_2x.png
| imagesize = 235x419px
| noexpand = true
| titletext = Einstein's theories solved a longstanding mystery about Mercury: Why it gets so hot. "It's because," he pointed out, "the sun is right there."
}}

==Explanation==
{{incomplete|Created by a BOT FLYING ALONGSIDE A BEAM OF LIGHT NYYOOOOOOOOOOM - Please change this comment when editing this page. Do NOT delete this tag too soon.}}
{{w|Albert Einstein}} is famous for his theory of {{w|special relativity}} (which deals with the interactions between high speeds and the perceptions of time), and he developed this theory, in part, by imagining himself flying alongside a beam of light. {{w|thought_experiment|Thought experiments}} such as this can reveal what appear to be fundamental principles of the universe that can revolutionize scientific understanding.

In this comic, Einstein is depicted having an early version of this thought experiment. At this stage of theory development, it is less about breaking down the complex nature of relativity and more about how fun it would be to go really fast. So his thought experiment is currently just, so to speak, a flight of fantasy. (Although even Einstein's "NYYOOOM" sound of a car whizzing by is the sound of the {{w|Doppler effect}}, which alludes strongly to the {{w|Relativistic Doppler effect}}.)

In a similar vein, the title text refers to one of the long-standing issues about Mercury: {{w|Tests_of_general_relativity#Perihelion_precession_of_Mercury|its orbit around the Sun}} doesn't ''quite'' match what {{w|Newtonian physics}} would predict. We now know that this is accounted for by {{w|general relativity}}, another of Einstein's notable theories (which relates how gravity, or the space-time curvature that we understand as gravity, influences time and space, including planetary orbits). Again, we find ourselves overhearing his thoughts before he reaches any insights that will start to explain this. Instead he is stuck at just 'imagining' that Mercury is hot due to its proximity to the Sun, which isn't a particularly novel or useful conclusion, or close to what we would now recognize as Einstein's much-lauded theory.

At around the time of the comic's scenario, being only the first stages of Einstein's thoughts about Relativity, the issue of the Sun's heat was still considered a mystery. The {{w|Kelvin–Helmholtz mechanism}} was proposed as the cause of the Sun's heat but was later superseded by the more modern understanding of nuclear fusion. The {{w|Yarkovsky effect}} had also been previously described as how thermal effects may influence orbital dynamics; this is still useful to know about in the case of asteroids but is not considered a significant factor for Mercury. Neither of these things were ever the focus of Einstein's own studies, though in 1915 he showed that General Relativity could explain Mercury's anomalies, and independent observations during a 1919 solar eclipse helped confirm the principles and make Einstein famous.

An older version of Einstein was previously drawn in [[1206: Einstein]] and [[1233: Relativity]].

==Transcript==
:[Albert Einstein (a relatively young version, drawn with dark curly hair and a dark moustache) sitting on a chair, with a thought bubble above his head. There are papers, books and a cup on the desk in front of him.]
:Einstein (thinking): ''Nyoooooooooom!''
:Einstein (thinking): I'm so fast!
:Einstein (thinking): ''Nyyooooooooom!''

:[Caption below the panel:]
:The first few times Einstein imagined flying alongside a beam of light, he didn't have any particular insights.

{{comic discussion}}

[[Category:Comics featuring real people]]
[[Category:Physics]]

2957: A Crossword Puzzle

2024-07-11T15:16:55Z

172.69.195.56: /* Table */

{{comic
| number = 2957
| date = July 10, 2024
| title = A Crossword Puzzle
| image = a_crossword_puzzle_2x.png
| imagesize = 740x937px
| noexpand = true
| titletext = Hint: If you ever encounter this puzzle in a crossword app, just [term for someone with a competitive and high-achieving personality].
}}

==Explanation==
{{incomplete|Do NOT delete this tag too soon.}}

{{notice|<big>'''SPOILER ALERT!'''</big> If you read on without trying to look at the crossword clues first, the joke is spoiled and your chance of finding out the joke yourself is gone instantly!|image=warning!!.png}}

This is a crossword puzzle. On a surface level, the answers seem extremely difficult, with questions covering a wide variety of trivia, linguistics, mathematics in various forms, alongside wordplay typical of crossword puzzles. But the joke is that every single letter of every single answer is "A". See explanation for all 51 clues in the [[#Table|table]] below. All the black squares are in a symmetrical pattern, which is generally the case for crossword puzzles in the US and UK. See description of the pattern in the [[#Transcript|transcript]].

The name of this comic, “A Crossword Puzzle”, is a double entendre; the “A” can be interpreted both as the indefinite article “a”, and as an identifier saying that this crossword puzzle is specifically an “A” puzzle, due to the answer being all “a”s.

The title text is a play on a "type A" personality. The term for someone with a competitive and high-achieving personality is "Type A". In the context of the title text, this answer is a hint that the entire puzzle can be completed in a crossword-solving app by typing the letter A repeatedly.

[[Randall]] pays tribute to a similar comic in the header text of this comic. See the [[#Trivia|trivia]] section below. In that trivia section there is also a picture of the solved puzzle.

==Table==
{| class="wikitable" style="margin:auto"
|-
! Location !! Clue !! Explanation !! Squares
|-
| 1-Across || Famous Pvt. Wilhelm quote || Reference to the {{w|Wilhelm scream}}. || 10
|-
| 11-Across || {{w|IPv6}} address record || An IPv4 record is an "A" record; an IPv6 record is four times the length and is designated an "AAAA" record. || 4
|-
| 15-Across || “CIPHERTEXT” decrypted with Vigenère key “CIPHERTEXT” || A "{{w|Vigenère Cipher}}" translates the original text by the distance from A from the key, letter by letter. For instance, if the plaintext is "XK" and the key is "CD", the C shifts X 2 forward to become Z, and the D shifts K 3 forward to become N, yielding a ciphertext of "ZN". Since the ciphertext and the key are the same in this case, decryption just shifts all the letters back to A, akin to subtracting a number from itself and getting 0. || 10
|-
| 16-Across || 8mm diameter battery || An {{w|AAAA battery}} is a 1.5V battery that measures 8.3 mm in diameter, 2.2 mm smaller than the more common AAA battery. || 4
|-
| 17-Across || “Warthog” attack aircraft || The {{w|A-10 Warthog}} is an attack aircraft. Here, A-10 has been turned into AAAAAAAAAA (ten As). || 10
|-
| 18-Across || '''E'''ve'''r'''y t'''h'''ir'''d''' le'''t'''te'''r''' in the word for “inability to visualize” || {{w|Aphantasia}} is the inability to experience mental images. Following the example of the pattern in the clue, taking the first letter and every third one after (rather than just every third letter) we determine that '''A'''ph'''a'''nt'''a'''si'''a''' gives us the word "aaaa". This clue is particularly mean because of how it instructs you to visualize the letters highlighted within the word in order to get the answer. || 4
|-
| 19-Across || An acrostic hidden on the first page of the dictionary || The first page of the dictionary (if you ignore the copyright page and the index) is the list of words starting with A. An acrostic of this page, taking the first letter of each line and arranging them in order, would just be a sequence of A's. || 10
|-
| 21-Across || Default paper size in Europe || {{w|A4 paper}} (here written as AAAA) is the default size in Europe. At 210x297 mm, it is approximately 0.24" narrower and 0.71" longer than the 8.5"x11" paper used in the United States, and due to having an aspect ratio of 1:sqrt(2), can be cut in half to create two half-sized sheets with exactly the same aspect ratio. || 4
|-
| 22-Across || First four unary strings || A unary number system represents numbers using just one symbol. E.g. 32 in unary would be 11111111111111111111111111111111. The first four strings in unary, if you used A as the first (and only) symbol, would be A, AA, AAA, AAAA. || 10
|-
| 23-Across || Lysine codon || {{w|Lysine}} is an amino acid, with codons AAA and AAG. || 3
|-
| 24-Across || 40 CFR Part 63 subpart concerning asphalt pollution || [https://www.ecfr.gov/current/title-40/chapter-I/subchapter-C/part-63?toc=1 "40 CFR Part 63"] refers to federal air pollutant regulations in the Code of Federal Regulations. The subpart for "asphalt processing and asphalt roofing manufacturing" is AAAAAAA. || 7
|-
| 25-Across || Top bond credit rating || The highest {{w|credit rating}} for bonds is AAA. || 3
|-
| 26-Across || Audi coupe || First of three Audi references. {{w|List_of_Audi_vehicles|Audi's car models}} range from A1 (subcompact hatchback) to A8 (full-size luxury sedan); the A5 is a compact executive coupé. || 5
|-
| 27-Across || A pair of small remote batteries, when inserted || Two AAA batteries (AAAAAA). "Inserted" is often a cryptic hint that one word should surround another. || 6
|-
| 29-Across || Unofficial Howard Dean slogan || A reference to Howard Dean, an American Democrat who ran for the party's nomination in 2004. He famously [https://www.youtube.com/watch?v=l6i-gYRAwM0 yelled at a rally] in a way that was thought to be bizarre and which, it is thought, doomed his campaign. || 7
|-
| 32-Across || A 4.0 report card || A 4.0 GPA, at least {{w|Academic_grading_in_the_United_States|in the USA}}, is all A's. This clue assumes seven classes. || 7
|-
| 33-Across || The “Harlem Globetrotters of baseball” (vowels only) || The {{w|Savannah Bananas}}, the vowels for whom are aaaaaa. || 6
|-
| 34-Across || 2018 Kiefer song || [https://genius.com/Kiefer-aaaaa-lyrics AAAAA]. || 5
|-
| 35-Across || Top Minor League tier || The top {{w|Minor League Baseball}} tier is AAA. || 3
|-
| 36-Across || Reply elicited by a dentist || Dentists ask patients to "say aaaaaaa", i.e. "open up". This could also be an expression of pain; particularly the only kind you can make with dental tools in your mouth. (As Autechre put it: [https://youtu.be/UppsLKz1iD4 "Now, I don't want you to panic... just lean back and relax."]) || 7
|-
| 38-Across || Anaa’s airport || {{w|Anaa}} is an atoll in the {{w|Tuamotu archipelago}} of {{w|French Polynesia}}. AAA is the {{w|IATA}} code for the airport there. || 3
|-
| 41-Across || Macaulay Culkin’s review of aftershave || In the movie {{w|Home Alone}}, Kevin (played by Macaulay Culkin) puts on his father's aftershave lotion. The six-year-old boy is not used to the lotion's antiseptic and screams as the stinging sensation kicks in. || 10
|-
| 43-Across || Marketing agency trade grp. || The {{w|American Association of Advertising Agencies}}, also called the 4A's (here AAAA). || 4
|-
| 44-Across || Soaring climax of Linda Eder’s ''Man of La Mancha'' || Refers to [https://youtu.be/BWP7l0OTXJI?t=130 the 20 second long wordless passage in Eder's opus]. Or possibly the final high note in the song The Impossible Dream || 10
|-
| 46-Across || Military flight community org. || The {{w|Army Aviation Association of America}}, or AAAA. || 4
|-
| 47-Across || Iconic line from ''Tarzan'' || Tarzan has a famous {{w|Tarzan yell|war cry}} he shouts, usually when swinging from a vine. || 10
|-
| 48-Across || Every other letter of Jimmy Wales’s birth state || The birth state of {{w|Jimmy Wales}}, the co-founder of Wikipedia, is Alabama. Taking every other letter of '''A'''l'''a'''b'''a'''m'''a''' gives "Aaaa". || 4
|-
| 49-Across || Warthog’s postscript after “They call me ''mister'' pig!” || Pumba in {{w|The Lion King}} yells "aaaaaaaaaa" while charging at the hyenas who insulted him. || 10
|-
| 50-Across || Message to Elsa in ''Frozen 2'' || The call which Elsa hears in {{w|Frozen 2}} is a sequence of four notes which resemble the requiem music {{w|Dies Irae#Music|Dies irae}}. The sequence is sung entirely with an open rounded vowel sound, or a soft "a" sound. || 4
|-
| 51-Across || Lola, when betting it all on Black 20 in ''Run Lola Run'' || In ''{{w|Run Lola Run}}'', Lola (Franka Potente) [https://youtu.be/OTSz1w-cuZM?si=2vc51WCWvn20Hjoo&t=116 screams loud enough to affect the outcome] of a roulette wheel where she has just bet all her money on Black 20. The scream could be transcribed as "AAAAAAAAAAA" || 10
|-
| 1-Down || Game featuring “a reckless disregard for gravity” || {{w|AaAaAA!!! – A Reckless Disregard for Gravity}} - notably the title is commonly extended in promotional material beyond 6 A's. || 6
|-
| 2-Down || 1010101010101010101010102→16 || 10101010 10101010 10101010 in binary is equivalent to "AAAAAA" in hexadecimal. || 6
|-
| 3-Down || Google phone released July ’22 || The {{w|Pixel 6a}} was released in July 22. Stylized in this puzzle as "AAAAAA" ('A'*6) || 6
|-
| 4-Down || It’s five times better than that ''other'' steak sauce || 5 times better than {{w|A1 steak sauce}} would be A5, stylized in this puzzle as "AAAAA". || 5
|-
| 5-Down || ToHex(43690) || The decimal number 43690 converted to hexadecimal is AAAA. || 4
|-
| 6-Down || Freddie Mercury lyric from ''Under Pressure'' || A drawn-out 'Aaaaahhhh' rising in pitch. || 15
|-
| 7-Down || Full-size Audi luxury sedan || Second of three Audi references. As mentioned previously, the A8 is their full-size luxury sedan. || 8
|-
| 8-Down || Fast path through a multiple choice marketing survey || The "fast path" is just to select the first option over and over again. Usually the options are labeled A, B, C, and D (or more) - choosing the first option for every question would be answering entirely with A's. || 7
|-
| 9-Down || 12356631 in base 26 || Randall is expressing base 26 using the letters of the alphabet with 1=A, in which case 1235663110 = AAAAAA26. (It's unclear how one would express the digit 026 this way.) || 6
|-
| 10-Down || Viral Jimmy Barnes chorus || A reference to the music video for Kirin J Callinan's song '{{w|Big Enough}}', which features Jimmy Barnes in a cowboy hat screaming "Aaaaaaaaaaaaaaa!" while in the sky over mountain scenes. || 15
|-
| 11-Down || Ruby Rhod catchphrase || Ruby Rhod is a radio host in the film '{{w|The Fifth Element}}'; he has a scene with a memorable scream. || 5
|-
| 12-Down || badbeef + 9efcebbb || In hexadecimal, badbeef and 9efcebbb add together to equal AAAAAAAA (195,935,983, 2,667,375,547, and 2,863,311,530 in decimal respectively). || 8
|-
| 13-Down || In Wet Leg’s ''Ur Mum'', what the singer has been practicing || In the song "{{w|Ur Mum}}" by Wet Leg, the bridge starts with "Okay, I've been practicing my longest and loudest scream", which is apparently eight As long. || 8
|-
| 14-Down || Refrain from Nora Reed bot || The "Endless Scream" bot on social media, made by Nora Reed, posts "AAAAAAAAAAA" (with or without an h) at varying lengths. || 8
|-
| 20-Down || Mario button presses to ascend Minas Tirith’s walls || {{w|Minas Tirith}}. In Mario games you typically use the A button to jump. In games where you don't press a button to move (e.g. games with a joystick) then the button presses required to ascend a vertical structure would probably all be A. This clue might have been inspired by the {{w|A-button challenge}} / [https://ukikipedia.net/wiki/A_Button_Challenge A Button Challenge], which tallies the amount of A presses needed to beat ''Super Mario 64''. Additionally, Minas Tirith is a city with seven concentric rings, each with a wall around it and higher than the last ring. Presumably, it takes seven jumps to get to the highest area of the city, so the answer is "AAAAAAA". || 7
|-
| 24-Down || Vermont historic route north from Bennington || {{w|Vermont Route 7A}}, or AAAAAAA. || 7
|-
| 26-Down || High-budget video game || A high budget video game is usually referred to as a Triple-A game, or AAA. || 3
|-
| 28-Down || Unorthodox Tic-Tac-Toe win || Tic-Tac-Toe is usually won by getting either three Xs or three Os in a row, making XXX and OOO normal Tic-Tac-Toe wins. One could achieve a win of AAA by making the unorthodox choice of playing with the letter A instead of X or O. Alternatively, Randall is envisaging the grid as defined by rows 1, 2, 3, and columns A, B, C, so an AAA win would be simply playing in the first column each time - a strategy which should be obvious and easy to stop, even for young children who have not yet worked out that ''any'' route to winning can be blocked. || 3
|-
| 29-Down || String whose SHA-256 hash ends “…689510285e212385” || <code>printf AAAAAAAA <nowiki>|</nowiki> sha256sum</code> outputs <code>c34ab6abb7b2bb595bc25c3b388c872fd1d575819a8f55cc689510285e212385</code>.
Note that this 'clue' would be normally be ''particularly'' difficult, in isolation, as the nature of a {{w|hash function}} means that it is possible for multiple inputs to produce a given output, and that finding any of these (and definitely identifying ''all'' of them, to ensure you have the correct original) would require a {{w|brute-force attack}}; i.e. a test of all possible initial states to discover which of them might be viable candidates. Even more problematic is that we are only given a partial hash string, meaning we are possibly talking of a multiple of full hashes, each of them with a possible multiplicity of original plaintexts behind them.
 The number of possible hashes in the clue is 1664/1616, i.e. 1648, or approximately 6x1054, although there really is no reason (aside from the fundemental impracticality) to try to solve this problem from each and every 'hash end'. Instead you would 'only' check every combination of 8 letters (presuming no digits, punctuation or whitespace would be inserted, that no 'foreign'/accented characters are present and that uppercase is universally presumed, is 268; i.e. ~208 {{w|billion|short-scale billion}} possibilities) and discover which (one?) of these sufficiently matches the hash fragment given. Testing a hundred of these every second, it would take a little over 66 ''years'' to complete the task of checking every single possibility (rather than stopping at the first confirmed answer, which might well be the initial one in this particular case).
 In the context of a crossword such as this, however, you can significantly reduce this search by having established (or at least sufficiently narrowed down) the answers to the various across-clues which intersect with ever character of it (this form of crossword grid being of the {{w|Crossword#American-style crosswords|dense type}}, with no singly-clued spaces as with the more open lattice-types), reducing the necessary checks drastically. This could mean, having solved at least some of the perpendicular answers, that you have enough information to 'guess' at some likely answer, and then merely need to ''confirm'' that whatever guess(es) you make will resolve themselves into the clue-answer provided. (Much as you might with a more normally difficult clue, where you merely have to satisfy yourself that the surprise answer is at least justified as resulting from the original hint.)
| 8
|-
| 30-Down || Arnold’s remark to the Predator || A reference to [https://www.youtube.com/watch?v=OsFYPVxHKdc this scene] from '{{w|Predator (film)|Predator}}'. || 8
|-
| 31-Down || The vowels in the fire salamander’s binomial name || The vowels in {{w|Salamandra salamandra}} are aaaaaaaa. || 8
|-
| 32-Down || Janet Leigh ''Psycho'' line || The iconic scene in {{w|Psycho (1960 film)|Psycho}} is the shower scene, in which Janet Leigh gives a long piercing scream as she is murdered, which can be written as 8 "As" if one wishes. || 8
|-
| 34-Down || Seven 440Hz pulses || A sound with a frequency of 440 Hz is a middle "A" note. Seven such pulses would be AAAAAAA. || 7
|-
| 37-Down || Audi luxury sports sedan || Third of three Audi references. The A6 is their executive car. Actually, the A7, their executive liftback sedan, would fit the prompt of "luxury sports sedan" better, but 37 Down only has room for six As. || 6
|-
| 38-Down || A half-dozen eggs with reasonably firm yolks || Eggs can be [https://www.saudereggs.com/blog/egg-grading-system/ "graded on a variety of aspects"], with grades B, A, or AA. Eggs with a reasonably firm yolk are graded A, so having half a dozen of them gives you AAAAAA eggs. || 6
|-
| 39-Down || 2-2-2-2-2-2 on a multitap phone keypad || A "{{w|multi-tap|multitap keyboard}}" is a text entry system for mobile phones. Most numbers are associated with three letters, and tapping the same number multiple times in rapid succession selects the 1st, 2nd, or 3rd number. 2 is "a", 22 is "b", 222 is "c", 3 is "d", etc. 2-2-2-2-2-2 translates to "aaaaaa". || 6
|-
| 40-Down || .- .- .- .- .- .- || .- is Morse Code for A. It reads out as AAAAAA. || 6
|-
| 42-Down || Rating for China’s best tourist attractions || China's Ministry of Culture and Tourism provides ratings for many tourist attractions in China on a scale from A to AAAAA, with AAAAA being the best. Examples of well-known tourist attractions with the AAAAA rating include the Forbidden City, sections of the Great Wall of China, and the Terracotta Army. || 5
|-
| 43-Down || Standard drumstick size || 5A is a common, middle-range size for drumsticks (the sticks used to play drums, not the drumsticks that get eaten). Here, it's written as AAAAA. || 5
|-
| 45-Down || “The rain/in Spain/falls main-/ly on the plain” rhyme scheme || An AAAA rhyme scheme means each of the four lines ends with the same sound. || 4
|}

==Transcript==
:[A square 15x15 crossword puzzle is shown. Only 21 of the 225 squares are black. The black squares are in a pattern that are 180 degree rotationally symmetrical. Three black squares down from the 11th column and similarly three black squares up from the 5th column. Three black squares out from the right in row 7 and then two more black squares diagonally up from the end. Similarly three black squares out from the left in row 9 with two more black squares diagonally down from the end. A single black square is three above the first black square on the diagonal going down to the right and similarly there is a black square three under the first of the diagonal squares going down to the left. (Row 6 column 12 and Row 10 column 4). Finally there are three black squares on a diagonal crossing over the central point by going up from the left through the central point (Row 8 column 8). There are numbers at the top of every column (except the one that is a black square) and similarly at the left edge of all rows (except the one that is a black square). There are also numbers at the bottom of every black segment (except the one that reaches the bottom) and all rows after black segments except the one that reaches the right edge. In total all numbers from 1 to 51 is written. They are written in reading order from 1 to 51.]
:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51

:[Below the square there are two rows of clues for each number that belongs to across (rows) and to the right there are one row of clues for each number that belongs to down (columns). Both segments have an underlined and bold title above the clues. Clue 1 goes in both across and down as the only number to be presented in both segments.]
:<big>'''Across'''</big>
:1. Famous Pvt. Wilhelm quote
:11. IPv6 address record
:15. "CIPHERTEXT" decrypted with Vigenère key "CIPHERTEXT"
:16. 8mm diameter battery
:17. "Warthog" attack aircraft
:18. '''E'''ve'''r'''y t'''h'''ir'''d''' le'''t'''te'''r''' in the word for "inability to visualize"
:19. An acrostic hidden on the first page of the dictionary
:21. Default paper size in Europe
:22. First four unary strings
:23. Lysine codon
:24. 40 CFR Part 63 subpart concerning asphalt pollution
:25. Top bond credit rating
:26. Audi coupe
:27. A pair of small remote batteries, when inserted
:29. Unofficial Howard Dean slogan
:32. A 4.0 report card
:33. The "Harlem Globetrotters of baseball" (vowels only)
:34. 2018 Kiefer song
:35. Top Minor League tier
:36. Reply elicited by a dentist
:38. ANAA's airport
:41. Macaulay Culkin's review of aftershave
:43. Marketing agency trade grp.
:44. Soaring climax of Linda Eder's ''Man of La Mancha''
:46. Military flight community org.
:47. Iconic line from ''Tarzan''
:48. '''E''''''v''''''e''''''r''''''y'''''' o''''''t''''''h''''''e''''''r''' letter of Jimmy Wales's birth state
:49. Warthog's postscript after "They call me ''mister'' pig!"
:50. Message to Elsa in ''Frozen 2''
:51. Lola, when betting it all on Black 20 in ''Run Lola Run''

:<big>'''Down'''</big>
:1. Game featuring "a reckless disregard for gravity"
:2. 1010101010101010101010102→16
:3. Google phone released July '22
:4. It's five times better than that ''other'' steak sauce
:5. ToHex(43690)
:6. Freddie Mercury lyric from ''Under Pressure''
:7. Full-size Audi luxury sedan
:8. Fast path through a multiple choice marketing survey
:9. 12356631 in base 26
:10. Viral Jimmy Barnes chorus
:11. Ruby Rhod catchphrase
:12. badbeef + 9efcebbb
:13. In Wet Let's ''Ur Mum'', what the singer has been practicing
:14. Refrain from Nora Reed bot
:20. Mario button presses to ascend Minas Tirith's walls
:24. Vermont historic route north from Bennington
:26. High-budget video game
:28. Unorthodox Tic-Tac-Toe win
:29. String whose SHA-256 hash ends "...689510285e212385"
:30. Arnold's remark to the Predator
:31. The vowels in the fire salamander's binomial name
:32. Janet Leigh ''Psycho'' line
:34. Seven 440Hz pulses
:37. Audi luxury sports sedan
:38. A half-dozen eggs with reasonably firm yolks
:39. 2-2-2-2-2-2 on a multitap phone keypad
:40. .- .- .- .- .- .-
:42. Rating for China's best tourist attractions
:43. Standard drumstick size
:45. "The rain/in Spain/falls main-/ly on the plain" rhyme scheme

==Trivia==
*This comic got a [[Header_text#A_Crossword_Puzzle|comic-specific header text]] after the first day it was up.
**This was because one of the comics Randall lists as one of those he enjoys, [https://www.buttersafe.com/ Buttersafe], had already posted a similar comic back in 2011: [https://www.buttersafe.com/2011/02/17/crosswords/ Crosswords].
**Randall had forgotten this, but now pays tribute to this, stating that he must have been accidentally inspired by that comic.
*[[User:Elfakyn|Elfakyn]] posted a link to a picture of the solved crossword puzzle in the [[Talk:2957:_A_Crossword_Puzzle#Solved_puzzle_picture|coments]] and allowed it to be included here:
[[File:2957_A-Crossword_Puzzle-Solved.png]]

{{comic discussion}}

[[Category:Language]]

Talk:2947: Pascal's Wager Triangle

2024-06-21T16:37:00Z

172.69.195.56:

Apparently, if two people are writing a first draft at the same time, the wiki appends one to the other. Welp. [[User:GreatWyrmGold|GreatWyrmGold]] ([[User talk:GreatWyrmGold|talk]]) 02:29, 18 June 2024 (UTC)
:If you add another one it puts it beside the second, and you have Pascal's explanation.[[Special:Contributions/172.70.85.102|172.70.85.102]] 08:33, 18 June 2024 (UTC)

Some religions (such as my own) prohibit polytheism, so that's an added wrench in the works. --[[Special:Contributions/141.101.98.119|141.101.98.119]] 06:56, 18 June 2024 (UTC)
: I think MOST religions are quite strict about the idea that you are supposed to CHOOSE single religion, preferably the one in question, and not trying to cover all bases by believing in multiple ones. Which is the answer to Pascal's Wager: choosing wrong God is likely to result in worse punishment than choosing none, so better NOT believe. -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 09:44, 18 June 2024 (UTC)
:: Well, it might be considered a bad "memetic trait" to have "as well as believing in our thing, you can believe in anything else". (Much as a number of holy books include the instruction that you should not change anything when copying the book, and this would clearly be a "dominant meme" as soon as someone spontaneously thinks to add it to a previously mutable version of the text.) Although there's syncratic religions which are effectively a case of "{{w|Horizontal gene transfer|horizontal meme transfer}}", philoso-evolutionarily.
:: But polythesitic pantheons aren't unusual within a (structurally singular) religion. The three branches of abriamic religion ("There is no god but Jehovah", "There is no god but God (sic)", there is no god but Allah", at least unless you start going into the prevalence of trinitarianism and "praying to individual saints") and I ''think'' Sikhism is rather good at "everything is but an aspect of the one..." (even when it comes to considering other religions' own ideas, and thus nominally folding ). But multi-deity (and zero-deity) religions/beliefs/etc are quite widespread, so an exclusivity of "my god" might be considered rare. (Though, numbers-wise, Christianity (in all its flavours) and Islam (ditto) add up to just over half of the world's population, perhaps being generous with 'habitual followers' rather than just the most devout. So it would be fairly accurate to say that most ''people'' are living under a (theoretically) quite strict monotheistic situation. Not that they all agree with each other quite what 'the singly god' is (even within themselves, ask a Protestent what they think about what a Catholic thinks, as [https://en.wikiquote.org/wiki/Emo_Philips#Die,_heretic! the famous joke about this goes]; and that's definitely not solely a Christian trait), although that's not what we're counting. [[Special:Contributions/172.71.242.54|172.71.242.54]] 21:05, 18 June 2024 (UTC)
: This reminds me of a novel (I think it was Arthur C. Clarke's ''3001: The Final Odyssey'') where in the distant future, all religions ended up merging into two - one where there is ''at most'' one god and one where there is ''at least'' one god. [[User:Shamino|Shamino]] ([[User talk:Shamino|talk]]) 14:15, 18 June 2024 (UTC)
: A surprisingly large number of religions actually don't care if you additionally are a member of another religion. Happens all the time in eastern Asia.[[Special:Contributions/162.158.212.173|162.158.212.173]] 21:05, 18 June 2024 (UTC)

What if there is a God, but they don't want you to believe in them?[[Special:Contributions/172.70.86.35|172.70.86.35]] 11:48, 18 June 2024 (UTC)
:Or a God, but they have impostor syndrome? [[User:Psychoticpotato|P?sych??otic?pot??at???o ]] ([[User talk:Psychoticpotato|talk]]) 12:34, 18 June 2024 (UTC)
:Or a God, and he just wants to screw over us all (not in the Yivo sense, mind you)? (Under this condition, all three outcomes are possible: he wants us to believe, he wants to hide, he couldn't care less) [[Special:Contributions/198.41.242.174|198.41.242.174]] 08:05, 19 June 2024 (UTC)

How did the middle Cueball on line 3 not realize that both Gods he was being asked to believe in are the same God (since the ones on line 2 both got it from the same Cueball on line 1)? Is there also a game of Telephone going on? [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:29, 18 June 2024 (UTC)
:Tbf there's no clarification by the Line 2 guys that they're talking about the same God. It makes sense that he'd assume they're different. If two different religious people told you at the same time "My God is real" and you'd never really been exposed to religion or atheism, you would assume they were talking about two. Forgive me if I made any unfair assumptions here. [[User:Psychoticpotato|P?sych??otic?pot??at???o ]] ([[User talk:Psychoticpotato|talk]]) 15:34, 18 June 2024 (UTC)
:Look at the schism in Islam and the huge number of divisions in Christianity. That it may be the same god and same basic religion doesn't mean that it isn't presented entirely differently. For example (what I'm familiar with), Roman Catholic versus Church of England. Similar, but also completely different. [[Special:Contributions/141.101.69.118|141.101.69.118]] 19:03, 19 June 2024 (UTC)
: Presumably each person interprets the diety slightly differently [[User:mouse|mouse]]

>>then there is minimal cost to drawing one anyway<< I argue that drawing a complete pascal's triangle will take infinite time and infinite resources. Which is slightly above "minimal cost"
[[Special:Contributions/108.162.221.61|108.162.221.61]] 05:34, 19 June 2024 (UTC)
:The use of the words "complete" and "infinite" while referring to the same thing is funny to me. I don't know why, though. [[User:Psychoticpotato|P?sych??otic?pot??at???o ]] ([[User talk:Psychoticpotato|talk]]) 13:19, 20 June 2024 (UTC)

I very nearly inserted the following 'argument' paragraph in the Explanation, but decided that it perhaps was a bit of a 'belief' of my own.
(A more realistic approach could be to just outwardly conform to the social expectations of the society to which you belong. With or without any actual core belief, which cannot be tested in any realistic manner during your lifetime, maintaining a performative cohesion with your neighbours and acquaintences would still benefit you in avoiding standing out from the commonly accepted ideology. This may still count as a 'belief' (desirable or undesirable) should this stance ever come to be judged by any deity, with your ultimate fate probably being mirrored by others that you know who are in your exact same ideological position and merely outwardly perpetuting the 'accepted' demonstrations of faith. Assuming that the society's religion is not a self-destructive one, you would have as good a lifetime as circumstances would generally allow, with the ''possibility'' of an afterlife that is at least not uniquely bad for you; unlike the smart-arse who presumes to know what the single best theological stance is and then has to rationalise their attempt to cynically play the odds upon Judgement Day, against a deity who fully understands their base motivations and may even take far less kindly towards a Wagerer than with someone who never ever tried to 'believe' but at least was generally and secularly philanthropic in a way that the deity might be pleased by.)
I stand by the logic, as far as it can ever be taken (without knowing anything useful about the actual mind of God/gods it has to be tested against) but it got a bit long as a 'minor philosophical interlude'. And if the Ultimate Arbiter does ''not'' like Bill-And-Ted-ism (i.e. "be excellent to each other") and getting along with your community, instead prefers more outstandingly misanthropic worldly behaviours (because the only 'heavenly' afterlife is more Valhalla than Asphodel Meadows; anyone who even mildly disappoints goes to the Hades/Tartarus equivalent) without actually clueing us in on this particular Ineffable Plan, then the fate of many (who ''don't'' make earthly lives more miserable for the rest of us) is pretty much doomed from the start and even the most perfect Pascalian Wagerer probably never managed to stand on the right side of the philosophical barrier either. This whole argument is not even a novel philosophy, of course, but it's mine. [[Special:Contributions/172.69.195.56|172.69.195.56]] 16:36, 21 June 2024 (UTC)

2942: Fluid Speech

2024-06-06T21:39:41Z

172.69.195.56: /* Explanation */

{{comic
| number = 2942
| date = June 5, 2024
| title = Fluid Speech
| image = fluid_speech_2x.png
| imagesize = 740x406px
| noexpand = true
| titletext = Thank you to linguist Gretchen McCulloch for teaching me about phonetic assimilation, and for teaching me that if you stand around in public reading texts from a linguist and murmuring example phrases to yourself, people will eventually ask if you're okay.
}}

==Explanation==
{{incomplete|Created by sum'un who wud rite like'is all'u time if e'cud gi'away with'd- Title text not adressed. How would the utterance of the fourth panels actually sound? Do NOT delete this tag too soon.}}
This comic is about {{w|sandhi}}.

[[Randall]] states that people often unconsciously shorten words in various ways when speaking to optimize the fluidity of speech.
He then presents four side-view diagrams of the human mouth and paths depicting how it might conceptually move (it depending a lot on how the individual normally forms even the major phonemes) when saying increasingly fluid versions of "going to."

The first diagram gives the pronunciation /ɡoʊɪŋ tu/ ''GO-ing TO''. This is the version found in dictionaries and used when one is speaking slowly and deliberately. Here, the tongue and lips have to move a lot. The phrase starts at the back of the throat with a velar /g/ and moves into the diphthong OH /oʊ/ and the approximant /w/ to the KIT vowel /ɪ/. (Though it's not in the traditional IPA transcription or the comic, most native accents will insert a [w] between [ʊ] and another vowel.) The tongue then has to move right back to where it started for the "ng" in "going", the velar /ŋ/, followed by an even bigger jump forwards to the alveolar /t/ and back again for the back vowel /u/. Since /t/ is a voiceless consonant, the vocal cords will briefly stop vibrating, interrupting the sound, which the diagram illustrates as a gap in the path.

The second diagram shows a slightly more efficient pronunciation, in which the /ŋ/ is replaced by an /n/ instead since both /n/ and /t/ are alveolar sounds. The final /u/ weakens to the more neutrally positioned /ə/, which is the "default" vowel (aka you should be making this sound if you relax your mouth completely and give a small grunt). (For more about Schwa, see [[2907: Schwa]].) All doubling back of the tongue is now removed, leaving only a small, nearly closed loop.

The third diagram shows an even more efficient and very common pronunciation of the phrase, /ɡʌnə/ ''GUN-na''. Here rather than optimizing tongue movement hard-to-pronounce sounds are removed or further replaced instead. The /t/ is dropped leaving only /n/, while the vowel(s) of the first syllable go from /o/ to /ʌ/ between which the only difference is the optional rounding, or pursing, of the lips - though more likely given Randall Munroe's prior comics demonstrating a {{w|Phonological history of English close back vowels#STRUT–COMMA merger|ꜱᴛʀᴜᴛ-coᴍᴍᴀ merger}}, a supposed /ə/.

The fourth diagram shows the most reduced pronunciation. The /n/ is lost as a consonant in its own right, with only remnants of its existence found by the nasalisation of the preceding vowel where part of the airflow is redirected through the nose. (This is, incidentally, the same manner how French got its famous nasal sounds - sequences of what used to be vowel + /n/ from Latin were reduced.) This way, the only motions one must make is to articulate the /ɡ/, which some would voice by an movement of the rear tongue although parts of the {{w|larynx}} may primarily be employed by others. This pronunciation seems almost unconnected to the original phrase of "going to". However, English speakers will still almost always understand this in context, and likely think they heard "gonna"

In the bottom text, Randall comments on the perception of reduced pronunciations, remarking that while many perceive them as being sloppy, in reality deliberately pronouncing each word with the "supposed" pronunciation in its dictionary form sounds stilted, forced, and unnatural. The final T in the word "hot" is an example of this. Most people when thinking of T think there is only one way to pronounce it - usually the aspirated unvoiced alveolar plosive "tuh" found at the start of syllables - but in reality it varies widely depending on position and accent, most noticeable if one pronounces a word such as "teat". In this context the "t" in "hot" is replaced by a {{w|glottal stop}}; funnily enough, and perhaps ironically, despite being the same sound it is never stigmatized, unlike intervocalic "t"s such as bottle which some speakers, particularly some British ones, also replace with glottal stops (rendered 'humorously' as <code>bo'oh</code>).

The title text is a serious shout-out to linguist Gretchen McCulloch who has been teaching Randall about this stuff, but includes a joke about what happens when he tries these things out in public.

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}

:[Above the panel:]
:Fun fact: Experienced speakers constantly merge, drop, and alter sounds when talking at normal conversational speed to optimize for efficient mouth movement.

:[The panel shows four labeled side profiles of a mouth with paths of sounds made in different parts of the mouth. There is a label "More fluid" with an arrow pointing to the right. From left to right:]

:[Label:]
:Going to
:/ɡoʊɪŋ tu/
:[Path:] G O >> I >> NG >> >> >> T >> >> O

:[Label:]
:Goin' to
:/ɡoʊɪn tə/
:[Path:] G O >> I >> N T >> >> O

:[Label:]
:Gonna
:/ɡʌn.ə/
:[Path:] G O >> NN >> A

:[Label:]
:How fluent speakers ''actually'' say it when speaking rapidly
:/ɡə̃/
:[Path:] G >> >> ə̃

:[Below the panel:]
:If you think ''you'' don't do this, try to use "hot potato" in a sentence and fully pronounce the first "t" without sounding like an alien impersonating a human.

{{comic discussion}}

[[Category:Language]]
[[Category:Fun fact]]
[[Category:Comics featuring Gretchen McCulloch]]

2940: Modes of Transportation

2024-06-02T10:13:08Z

172.69.195.56: /* Explanation */ Expanding (without trains, especially, the lack of buses could be logically explained) and offering choices of opinion

{{comic
| number = 2940
| date = May 31, 2024
| title = Modes of Transportation
| image = modes_of_transportation_2x.png
| imagesize = 510x518px
| noexpand = true
| titletext = My bold criticism might anger the hot air balloon people, which would be a real concern if any of them lived along a very narrow line directly upwind of me.
}}

==Explanation==
{{incomplete|Created by a Transportationally convenient but insidiously dangerous robotic car - Please change this comment when editing this page. Do NOT delete this tag too soon.}}

Randall's chart shows that hot air balloons are an inconvenient and dangerous outlier compared to other modes of transportation. Therefore, if an optimization algorithm considers it the optimal mode of transportation, it must be the result of a sign error (e.g. having a minus sign where a plus sign is supposed to be, or vice versa), giving the opposite result by mistake. Presumably, modes of transportation similar to hot air balloons (like zeppelins and blimps) are left off of the chart to increase the gap for comedic effect. This comic is the second comic in a row to feature an algorithm.

The title text makes a joke that if an angry hot air balloon enthusiast disagrees with the ranking, they will have a difficult time getting to Randall's house with their preferred mode of transportation. In reality, hot air balloons have some freedom to choose their direction of travel, since by controlling their altitude they can access different wind directions at different heights. Randall should, therefore, be concerned about hot air balloonists who live within a wedge spanned by the various wind directions accessible on a given day. In principle, if the weather conditions are favorable, this could cover every direction from Randall's house. The phrase "hot air balloon people" is reminiscent of "autogyro people" from the title text of [[1972: Autogyros]].

Curiously, the comic includes most common forms of transport, and a number of less common ones, but omits examples such as buses (a mass transit solution arguably more convenient than trains). It is not clear if this is an error, or a deliberate choice to maintain the comic's layout and presentation.

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}

:[A chart is shown, where the Y axis is labeled "Convenient for travel" and has an arrow pointing up and the X axis is labeled "Dangerous" and has an arrow pointing right.]
:[The following modes are shown in the "Zone of practicality" (a large irregular area fitting in to the top left corner of the chart), highlighted with a gray background, starting with the first few bunched at highest convenience, :]
:Trains [very convenient, very safe]
:Airliners
:Cars
:Scooters [the most dangerous of this set, at medium-low danger]
:Bicycles
:Boats [medium-high convenience, a slight amount of danger]
:Walking [the least convienient, at roughly half, and lowest danger of this set]
:[The following modes are shown in the "Zone of specialty and recreational vehicles" (a large irregular swathe from the top right to the bottom left, not quite touching the prior zone), highlighted with a gray background, the nodes spread in rough order from high convenience/danger to low convenience/danger:]
:Motorcycles [highly convenient, nearly maximum danger]
:Helicopters [not quite fully convenient, most danger]
:Light aircraft
:Go karts
:Skateboards
:Rollerblades
:Skis
:Unicycles
:Sleds
:Bumper cars [lowest convenience and lowest danger item]
:[The following is labeled "?????" (in the bottom right corner), and has a gray background all to itself in a small blob notably distant from the nearest other group:]
:Hot air balloons [placed as almost the least convenient and most dangerous, of all labels]

:[Caption below the panel:]
:Hot air balloons are the optimal mode of transportation, if your optimization algorithm has a sign error.

{{comic discussion}}

[[Category:Charts]]

827: My Business Idea

2024-05-31T12:53:03Z

172.69.195.56: Undo revision 343330 by 172.70.35.106 (talk) No rhetoric sense. Reads better without the stated number (which, conceivably, isn't even 137).

{{comic
| number = 827
| date = November 29, 2010
| title = My Business Idea
| image = my_business_idea.png
| titletext = We didn't believe you at first, but we asked like three people who were at that party. They not only corroborated your story, but even said you totally mentioned wanting to start a company someday. Sorry! If this isn't enough money, let us know.
}}

==Explanation==
Many people have shared [[Cueball]]'s experience of seeing someone else make a profit from an idea that they themselves had. This comic plays with the thought of what would happen if {{w|intellectual property}} thinking was taken to an extreme, and if companies or people were keener on "setting things right" than money.

In reality, having a great idea alone, of course, does not create a profitable business; there must generally be an enormous amount of effort put in to create a business from scratch, popularize it, and keep it standing. Having done none of this, Cueball would probably not deserve close to the "30% cut" he claims even if intellectual property did work the way it is presented here. Multiplying $20,000,000 by 30% gives $6,000,000, which would be a lot of cash for doing nothing but having an idea and telling it to someone.

The delivery address is to an address on 'Ash Tree Lane', referencing the space-warping house on the same street from the mysterious '{{w|House of Leaves}}' book.

The title text is an extension of this story, presumably coming from the company, comedically apologising for not knowing sooner about [[Cueball]]'s idea, and revealing that they corroborated this claim with his friends at a party about this venture, even kindly offering him a larger share of their revenue.

==Transcript==
:[Cueball is sitting at his desk, pointing at his laptop.]
:Cueball: Dude! I had this idea like five years ago, and some company just got rich doing it! - I want my cut.

:[Cueball starts typing.]
:Person off-screen: That's not how it works.
:Cueball: Sure it is. I'm applying for my share now.
:Person: Wait, what?

:[A browser window with the title 'Department of Ideas'. It has a series of text boxes.]
:Date you had the idea:
::Like five years ago.
:Proof you had it:
::I told my friend Mike - you can ask him! I was all "you know what would make a great business idea?" and he was all...
:Their profit so far:
::$20,000,000
:Share you deserve (be fair!):
::[Drop-down.]
:::25%
:::'''30%'''
:::35%
:Mailing address:
::137 Ash Tree Ln

:[Cueball still at the laptop, above him is a SUBMIT button, and it shows a pointing hand cursor.]
:CLICK

:[Last panel set slightly lower than the rest.]
:[Cueball is in front of an open box full of cash, with cash in his hand. A FedEx delivery guy is on the other side of the box with his PDA and pen.]

==Trivia==
This comic was originally called [[827: Business Idea]], but Randall renamed it on 11:35 AM UTC to resolve a conflict on [https://xkcd.com xkcd.com]. The conflict was created when he released the comic [[1721: Business Idea]] around five years after this comic's release because both comics shared the same name and filename. This is the third time Randall has released a comic with a [[:Category:Comics sharing name|name exactly the same]] as a previous comic.

{{comic discussion}}

[[Category:Comics featuring Cueball]]
[[Category:Comics with color]]
[[Category:Comics sharing name|Business Idea]]