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| date      = November 14, 2011
 
| date      = November 14, 2011
 
| title    = Map Projections
 
| title    = Map Projections
| before    = [[#Explanation|↓ Skip to explanation ↓]]
 
 
| image    = map_projections.png
 
| image    = map_projections.png
 
| titletext = What's that? You think I don't like the Peters map because I'm uncomfortable with having my cultural assumptions challenged? Are you sure you're not... ::puts on sunglasses:: ...projecting?
 
| titletext = What's that? You think I don't like the Peters map because I'm uncomfortable with having my cultural assumptions challenged? Are you sure you're not... ::puts on sunglasses:: ...projecting?
 
}}
 
}}
{{TOC}}
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==Explanation==
 
==Explanation==
{{w|Map projection}}, or how to represent the spherical Earth surface onto a flat support (paper, screen...) to have a usable map, is a long-time issue with very practical aspects (navigation, geographical shapes and masses visualization, etc.) as well as very scientific/mathematical ones, involving geometry or even abstract algebra among other things. There is no universal solution to this problem: Any 2D map projection will always distort in a way the spherical reality. Many projections have been proposed in various contexts, each intending to minimize distortions for specific uses (for nautical navigation, for aerial navigation, for landmass size comparisons, etc.) but having drawbacks from other points of view. Some of them are more frequently used than others in mass media and therefore more well-known than others, some are purely historical and now deprecated, some are very obscure, etc.
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{{w|Map projection}}, or how to represent the spherical Earth surface onto a flat support (paper, screen...) to have a usable map, is a long-time issue with very practical aspects (navigation, geographical shapes and masses visualization, etc.) as well as very scientific/mathematical ones, involving geometry or even abstract algebra among other things. There is no universal solution to this problem, any 2D map projection will always distort in a way the spherical reality; many projections have been proposed in various contexts, each intending to minimize distortions for specific uses (for nautical navigation, for aerial navigation, for landmass size comparisons, etc.) but having drawbacks from other points of view. Some of them are more frequently used than other in mass media and therefore more well-known than others, some are purely historical and now deprecated, some are really obscure, etc.
 
 
[[Randall]] suggests here the idea that someone's "favorite" map projection can reveal aspects of their personality, then goes through a series of them to show what they can mean.
 
 
 
He may actually believe that all map projections are in a way bad. This could be inferred from the fact that he much later began  publishing a series of [[:Category:Bad Map Projections|Bad Map Projections]].
 
 
 
An animated version of this comic, showing how the projections look when they are rotated, was uploaded [https://www.youtube.com/watch?v=7O2CBgWshiM here.]
 
===Mercator===
 
[[File:MercatorProjection.jpg|frame|The Mercator projection]]
 
The {{w|Mercator projection}} was introduced by Flemish cartographer Gerardus Mercator in 1569. The main purpose of this map is to preserve compass bearings; for example 13 degrees east of north will be 13 degrees clockwise from the ray pointing toward the top of the map, at every point.  A mathematical consequence is the mapping is conformal, i.e. if two roads meet at a certain angle on the surface of the Earth, they will meet at that same angle on the map.  It also follows that at every point the vertical and horizontal scales are the same, so locally i.e. considering only a small part of the map, geographical features (shapes, angles) are well represented, which helps a lot in recognizing them on-the-field, or for local navigation in that small part only. For this reason, that projection (or a close variant) is used in several online mapping services (such as Google Maps), which means that it is frequently encountered by the general public. A straight line on the map corresponds to a course of constant bearing (direction), which was very useful for nautical navigation in the past (and thus made that projection very well-known).
 
 
 
However, from a global point of view, this projection is radically incorrect in how it shows the size of landmasses (for instance, Antarctica and Greenland seem gigantic), and furthermore, it always excludes a small region around each pole (otherwise the map would be of infinite height), so it doesn't provide a complete solution for the problem of map projection. The comic implies that people who like that projection aren't very interested with map issues, and typically use what they are offered without thinking much about it.
 
 
 
{{clear}}
 
 
 
===Van der Grinten===
 
[[File:VanDerGrintenProjection.jpg|frame|The Van der Grinten projection]]
 
The {{w|Van der Grinten projection}} is not much better than the Mercator. It was adopted by {{w|National Geographic}} in 1922 and was used until they updated to the Robinson projection in 1988.
 
 
 
The Van der Grinten projection is circular as opposed to the Mercator projection. The fictional person believes a circular map is more fitting to the real Earth's three-dimensional spherical nature because both are round. This belief fails to recognize that a two-dimensional circle has very little in common with the surface of a sphere, and thus this projection still causes a vast distortion of space and area.  Because of this, Randall implies the Van der Grinten enthusiast to be optimistic and childishly simple-minded (e.g. "you like circles").
 
 
 
{{clear}}
 
 
 
===Robinson===
 
[[File:RobinsonProjection.jpg|frame|The Robinson projection]]
 
The {{w|Robinson projection}} was developed by {{w|Arthur H. Robinson}} as a map that was supposed to look nice and is often used for classroom maps. National Geographic switched to this projection in 1988, and used it for ten years, switching to the {{w|Winkel tripel projection|Winkel-Tripel}} in 1998.
 
  
{{w|The Beatles}} was a rock band that enjoyed great commercial success in the 1960s, and are widely considered the best act ever in the genre of popular music. The Beatles, coffee, and running shoes are all things that are very commonly enjoyed and largely uncontroversial, as well as being comforting.  Liking these specific things suggests an ordinary, easygoing lifestyle paralleled by the projection.
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[[Randall]] suggests here the idea that someone's "favorite" map projection can reveal aspects of their personality, and goes through a series of them and what they can mean:
  
{{clear}}
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;Mercator
 +
:The {{w|Mercator projection}} was introduced by Flemish cartographer Gerardus Mercator in 1569. The main purpose of this map is that at any point the vertical and horizontal scales are the same, so locally i.e. considering only a small part of the map, geographical features (shapes, angles) are well represented, which helps a lot in recognizing them on-the-field, or for local navigation in that small part only. For this reason that projection (or a close variant) is used in several online mapping services such as Google Maps, which means that people commonly see it nowadays. No angle distortion also means that a straight line on the map corresponds to a course of constant bearing (direction), which was very useful for nautical navigation in the past (and thus made that projection very well-known).
  
===Dymaxion===
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:However from a global point of view, this projection is radically incorrect in how it shows the size of landmasses (for instance Antarctica or Greenland seem gigantic), and furthermore, it always excludes a small region around each pole (otherwise the map would be of infinite height), so it doesn't provide a complete solution for the problem of map projection. The comic implies that people who like that projection aren't very interested with map issues, and typically use what they are offered without thinking a lot about it.
[[File:DymaxionProjection.jpg|frame|The Dymaxion projection]]
 
Also called the Fuller Map, the {{w|Dymaxion map}} takes a sphere and projects it onto an icosahedron, that is a polyhedron with 20 triangular faces. It is far easier to unwrap an icosahedron than it is to unwrap a sphere into a 2D object and has very little skewing of the poles. {{w|Buckminster Fuller}} was an eccentric futurist who believed, for example, that world maps should allow no conception of "up" or "down". He was therefore more than happy to defy people's expectations about maps in the pursuit of mathematical accuracy.
 
  
Randall associates the projection to geek subculture and niche markets:
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;Van der Grinten
*{{w|Isaac Asimov}} was an American science-fiction writer, who (as well as publishing many textbooks) is considered the father of the modern concept of robots. He invented the {{w|Three Laws of Robotics}}. He also worked on more than 500 books throughout his career.
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:The {{w|Van der Grinten projection}} is not much better than the Mercator. It was adopted by {{w|National Geographic}} in 1922 and was used until they updated to the Robinson projection in 1988.
*{{w|XML}} is the eXtensible Markup Language. It is used to represent data in a format that machines can read and understand, as well as being human-readable. In practice, XML is cumbersome to read.
 
*{{w|Vibram FiveFingers|Toed shoes}} are a [[1065: Shoes|favorite]] of Randall's to pick on. In society they are seen as a {{w|geek}} clothing item.
 
*Brought to the world by {{w|Dean Kamen}}, the {{w|Segway PT}} was supposed to be a device that changed the way cities were built. In practice, it had the same problems as other novel personal transporters, such as the {{w|Sinclair C5}} many years earlier. Small, powered vehicles didn't fit neatly into the existing infrastructure for cars, bikes or pedestrians; using them on roads or sidewalks could be unsafe, illegal or both. Early versions of the Segway also cost more than a used car, such that they were never widespread enough to provoke legal or infrastructure changes. The devices found a small niche among law enforcement, mall/airport security and tour operators, rather than private owners. The former owner of {{w|Segway Inc.}}, the late {{w|Jimi Heselden}}, accidentally rode his Segway off a cliff in 2010. Ninebot, then owner of the Segway brand, announced in 2020 that the flagship 2-wheeled self-balancing vehicle would be discontinued.
 
*At the time of comic release, 3D goggles, nowadays widely known as {{w|Virtual reality headset|VR headsets}}, were considered a gimmick at best. The original idea is as old as 3D graphics, but it never really took off until mid-2010s. Earlier products were very unwieldy and offered poor graphics quality, so no one took this technology seriously.
 
*{{w|Dvorak Simplified Keyboard|Dvorak}} is an alternate keyboard layout to {{w|QWERTY}}. According to legend, QWERTY was invented to help keep manual typewriters from jamming (by placing the most used keys far from each other) but Dr. {{w|August Dvorak}} performed many studies and found the mathematically optimal keyboard layout to reduce finger travel for right handed typists. While some claim Dvorak is technically better than QWERTY, QWERTY had become the standard. Most keyboards were laid out in QWERTY format, but a lot of software exists to remap the keys to DVORAK for those interested in typing faster.  Retraining the brain to use Dvorak takes perhaps a week.  It has become a [[:Category:Dvorak|recurrent theme]] on xkcd.
 
  
 +
:The Van der Grinten projection is circular as opposed to the Mercator projection. Circles look happier than squares, leading to the conclusion that people who like the projection are optimistic.
  
{{clear}}
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;Robinson
 +
:The {{w|Robinson projection}} was developed by {{w|Arthur H. Robinson}} as a map that was supposed to look nice and is often used for classroom maps. National Geographic moved to this projection in 1988, and used it for ten years, moving to the Winkel-Tripel in 1998.
  
===Winkel-Tripel===
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:{{w|The Beatles}} was a rock band that enjoyed great commercial success in the 1960s. The Beatles, coffee, and running shoes suggest an ordinary, easygoing lifestyle paralleled by the projection.
[[File:Winkel-TripelProjection.jpg|frame|The Winkel Tripel projection]]
 
Proposed by Oswald Winkel in 1921, the {{w|Winkel tripel projection}} tried to reduce a set of three (German: Tripel) main problems with map projections: area, direction, and distance. The {{w|Kavrayskiy VII projection|Kavrayskiy projection}} is very similar to the Winkel Tripel and was used by the USSR, but very few in the Western world know of it.
 
  
The comic links this projection to {{w|hipster}} subculture. The hipster stereotype is to avoid conforming to mainstream fashions. "Post-" refers to a variety of musical genres such as {{w|post-punk}}, {{w|post-grunge}}, {{w|post-minimalism}}, {{w|post-rock}}, etc. that branch off of other genres, and are generally considered less accessible than the genres that spawned them. Liking a genre just called "post-" implies that the listener prefers music that is less mainstream, and may have that as the only criterion for listening.  
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;Dymaxion
 +
:Also called the Fuller Map, the {{w|Dymaxion Map}} takes a sphere and projects it onto an icosahedron, that is a polyhedron with 20 triangular faces. It is far easier to unwrap an icosahedron than it is to unwrap a sphere into a 2D object and has very little skewing of the poles.
  
;Trivia
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:Randall associates the projection to geek subculture and niche markets:
*In German "Winkel-Tripel-Projektion" means Winkel's triple projection, and therefore the hyphen shouldn't be there: "Winkel Tripel" or "Winkel tripel".
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:*{{w|Isaac Asimov}} was an American science-fiction writer, that (as well as publishing many textbooks) is considered the father of the modern concept of robots. He invented the {{w|Three Laws of Robotics}}. He also worked on more than 500 books throughout his career.
*This projection was later used in [[2242: Ground vs Air]].
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:*{{w|XML}} is the eXtensible Markup Language. It is used to represent data in a format that machines can read and understand, as well as being human-readable. In practice, XML is cumbersome to read.
{{clear}}
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:*{{w|Vibram FiveFingers|Toed-Shoes}} are a [[1065|favorite]] of Randall's to pick on. In society they are seen as a {{w|geek}} clothing item.
 +
:*Brought to the world by {{w|Dean Kamen}}, the {{w|Segway PT}} was supposed to be a device that changed the way cities were built. In reality, most principalities have put in place rules specifically against Segways, making them a frustration to own and use within the law (in some states in Australia, it is illegal to use them on public footpaths or roads). Also, the former owner of {{w|Segway Inc.}}, the late {{w|Jimi Heselden}}, accidentally rode his Segway off a cliff in 2010.
 +
:*{{w|Virtual reality|3D goggles}} are a very niche market only pursued by enthusiasts. In the 1990s the promise of virtual realities was very tantalizing; many companies attempted to perfect it, but fell short of the mark. Also, the phrase "The grass is always greener on the other side of the fence." is relevant.
 +
:*{{w|Dvorak Simplified Keyboard|Dvorak}} is an alternate keyboard layout to QWERTY. Where QWERTY was invented to help keep manual typewriters from jamming (by placing the most used keys further away from each other), Dr. {{w|August Dvorak}} performed many studies and found the mathematically optimal keyboard layout to reduce finger travel for right handed typists. While technically better than QWERTY, QWERTY had become the standard. All the keyboards were laid out in QWERTY format, and retraining the brain after becoming a touch typist is extremely difficult.
  
===Goode Homolosine===
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;Winkel Tripel
[[File:GoodeHomolosineProjection.jpg|frame|The Goode Homolosine projection]]
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:Proposed by {{w|Oswald Winkel}} in 1921, this map tried to reduce the three (German: tripel) main problems with map projections: area, direction, and distance. The {{w|Kavrayskiy VII projection|Kavrayskiy projection}} is very similar to the Winkel Tripel and was used by the USSR, but very few in the Western world know of it.
The {{w|Goode homolosine projection}} takes a different approach to skewing a sphere into a roughly circular surface. An orange peel can be taken from an orange and flattened with fair success; this is roughly the procedure that {{w|John Paul Goode}} followed in creating this projection. Randall is suggesting that people who like this map also prefer relatively easy solutions to other things in life, despite those solutions having nuanced problems that are more difficult to address.
 
  
People often make arguments that if normal people ran the United States, then the US wouldn't be in the trouble it is. This is from the belief that career politicians are simply out to make money and will only act in the interest of their constituency when their continued easy life is threatened (usually around election time). While some form of this view is very common and probably pretty much correct, Randall is saying that someone who likes this map may take this to extremes.
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:The comic links this projection to {{w|hipster}} subculture. The whole point of hipsters is to avoid conforming to mainstream fashions. "Post-" refers to a variety of musical genres such as {{w|post-punk}}, {{w|post-grunge}}, {{w|post-minimalism}}, etc. that branch off of other genres.
  
Airline food is another, much maligned, problem. How do you store enough food to feed people on long airplane trips? What kind of food can be served in an enclosed, low-air-pressure environment? The common solution is to use some kind of prepackaged, reheated meal. Randall is saying that the people in favor of the Goode Homolosine wonder why the airlines don't simply order meals from the restaurants in the airport, store that food, and serve it, rather than using bland reheated food. However, this seemingly-obvious solution ignores how being in an airplane dulls your sense of taste. Airplane food is actually over seasoned for eating on the ground, meaning that if airlines switched to restaurant food it would probably taste even blander. There would also be issues with acquiring special meals (for example, vegetarian, Kosher, and Halal meals), especially if suitable restaurants were not in close range to the airport. Airport restaurants tend to also be more expensive than usual.
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;Goode Homolosine
 +
:The {{w|Goode homolosine projection}} takes a different approach to skewing a sphere into a roughly circular surface. An orange peel can be taken off of an orange and flattened with fair success; this is roughly the procedure that {{w|John Paule Goode}} followed in creating this projection.
  
Older cars burned oil like mad fiends, and oil back then would become corrosive to the innards of an engine, so oil had to be changed often. But, with the introduction of synthetic motor oil and better designed engines, new cars only need their oil changed about every 10,000 to 15,000 miles. A common conspiracy theory is that modern automobile oil manufacturers still recommend that car owners change their oil every 3,000-5,000 miles to "drum" up more business, even though that frequency is unnecessary.
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:Common people make arguments that if normal people would run the United States, then the US wouldn't be in the trouble it is. This is from the belief that career politicians are simply out to make money and will only act in the interest of their constituency when their continued easy life is threatened (usually around election time).
  
All of these references suggest that people who like the Goode Homolosine projection are fans of simple solutions to problems. However, while the solutions appear to be an easy, common-sense solutions, they all rely on over-simplifying the problem, and ignoring any problems introduced by the solution itself. For instance: the restaurants might have trouble making enough food for the whole plane, and it could get cold before being served; the air conditions [https://www.nbcnews.com/health/one-reason-airline-food-so-bad-your-own-tastebuds-6C10823522 aboard planes] can affect taste, so airlines say they optimize for this; there is no such thing as a "normal" person, and if there were, they would have less political experience than politicians, while remaining subject to the same pressures and problems with the larger political system; and the Goode Homolosine projection, while mostly resembling a flattened orange peel as suggested by the earlier analogy, does indeed cut down on distortion, but also has serious problems of its own, such as leaving huge gaps of nothingness between the continents, making distances across the oceans difficult to visualize, and splitting Greenland in half.
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:Airline food is another, much maligned, problem. How do you store enough food to feed people on long airplane trips? The common solution is to use some kind of sub-standard microwaveable dinner. Randall is saying that the people in favor of the Goode Homolosine wonder why the airlines don't simply order meals from the restaurants in the airport, store that food, and serve it, rather than using frozen and microwaved food.
  
{{clear}}
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:Older cars burned oil like mad fiends and oil back then would become corrosive to the innards of an engine, so oil had to be changed often. But, with the introduction of synthetic motor oil and better designed engines, new cars only need their oil changed about ever 10,000 to 15,000 miles. Allegedly. Perhaps this is a conspiracy built by the collusion of the car manufacturers and big oil companies!
  
===Hobo–Dyer===
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:All of these references suggest that people who like the Goode Homolosine projection are fans of easy solutions to problems. However, the solutions would not necessarily work in practice. For instance, the restaurants might have trouble making enough food for the whole plane, and it could get cold before being served. Also, the air conditions [http://www.nbcnews.com/health/one-reason-airline-food-so-bad-your-own-tastebuds-6C10823522 aboard planes] can affect taste, so airlines say they optimize for this.
[[File:Hobo-DyerProjection.jpg|frame|The Hobo–Dyer projection]]
 
The {{w|Hobo–Dyer projection}} was commissioned by Bob Abramms and Howard Bronstein and was drafted by Mick Dyer in 2002. It is a modified {{w|Behrmann projection}}. The goal was to be a more visually pleasing version of the Gall–Peters.
 
  
As is discussed in the Gall–Peters explanation, the Gall–Peters was developed to be equal area, so that historically colonised and economically disadvantaged areas nearer the equator are not diminished in area by the map projection, while global north areas are generally enlarged.
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;Hobo-Dyer
 +
:The {{w|Hobo–Dyer projection}} was commissioned by Bob Abramms and Howard Bronstein and was drafted by Mick Dyer in 2002. It is a modified {{w|Behrmann projection}}. The goal was to be a more visually pleasing version of the Gall-Peters.
  
Randall associates the Hobo–Dyer projection to "crunchy granola" — a stereotype associated with vegetarianism, environmental activism, anti-war activism, liberal political leanings, and some traces of {{w|hippie}} culture.
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:As is discussed in the Gall-Peters explanation, the Gall-Peters was developed to be equal area, so that economically disadvantaged areas can at least take comfort in the fact that their country is represented correctly by area on maps.
  
With feminism becoming mainstream and non-binary genders being more widely accepted, some have begun to invent gender-neutral pronouns so that when referring to a person whose gender is not known they cannot be offended by being referred to by the wrong pronouns. In {{w|Middle English}} 'they' and 'their' were {{w|Singular they|accepted genderless pronouns that could replace 'he', 'she'}} as well as be used to represent a crowd, but this usage is considered by some to be grammatically incorrect because of the plural/singular debate ([https://www.merriam-webster.com/video/the-awkward-case-of-his-or-her stupid Victorian Grammarians!]). There have been {{w|gender-neutral pronoun#Invented pronouns|many attempts at popularizing invented gender-neutral pronouns}} and they are beginning to achieve some degree of success in the mainstream.
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:Randall associates the Hobo-Dyer projection to "crunchy granola" — a stereotype associated with vegetarianism, environmental activism, anti-war activism, liberal political leanings, and some traces of {{w|hippie}} culture.
  
{{clear}}
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:With the new general acceptance of homosexual, bisexual, and transgendered persons, some have begun to invent gender-neutral pronouns so that when referring to a person whose gender is not known they cannot be offended by being referred to by the wrong pronouns. In {{w|Middle English}} 'they' and 'their' were accepted gender-less pronouns that could replace 'he', 'she' as well as be used to represent a crowd, but this usage is considered by some to be just straight-up wrong because of the plural/singular debate ([http://www.merriam-webster.com/video/0033-hisher.htm stupid Victorian Grammarians!]). So, a whole host of new pronouns are being invented in an attempt to keep from ever offending anyone ever again.
  
===Plate Carrée===
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;Plate Carrée
[[File:PlateCarreeProjection.jpg|frame|The Plate Carrée projection]]
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:Also known as the {{w|Equirectangular projection}} that has been in use since, apparently, 100 AD. The benefit of this projection is that latitude and longitude can be used as x,y coordinates. This makes it especially easy for computers to graph data on top of it.
Also known as the {{w|Equirectangular projection}}, it has apparently been in use since approximately 100 CE. The benefit of this projection is that latitude and longitude can be used as x,y coordinates. This makes it especially easy for computers to graph data on top of it.
 
  
According to the comic, the projection appeals to people who find much beauty in simplicity.
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:According to the comic, the projection appeals to people who find much beauty in simplicity.
  
{{clear}}
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;A Globe!
 +
:In any good discussion there has to be at least one smart-ass. This is a comic about map projections, that is, the science of taking a sphere and flattening it into 2 dimensions. The smart-ass believes that we shouldn't even try: a sphere is, in fact, the perfect representation of a sphere.
  
===A Globe!===
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:To quote ''{{w|The Princess Bride}}'': "Yes, you're very smart. Shut up."
[[File:GlobeProjection.jpg|frame|The Globe "projection"]]
 
In any good discussion there has to be at least one smart-ass.{{Citation needed}} This is a comic about map projections, that is, the science of taking a sphere and flattening it into 2 dimensions. The smart-ass believes that we shouldn't even try: a sphere is, tautologically, the perfect representation of a sphere.
 
  
To quote ''{{w|The Princess Bride}}'': "Yes, you're very smart. Shut up."
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;Waterman Butterfly
 +
:Similar to the Dymaxion, the {{w|Waterman butterfly projection}} turns a sphere into an octahedron, and then unfolds the net of the octahedron, which was devised by mathematician {{w|Waterman polyhedron|Steve Waterman}} based upon the work of {{w|Bernard J.S. Cahill}}
  
A globe is the "map projection" used by {{w|Google Earth}} when zoomed out.
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:Bernard Cahill published a [http://www.genekeyes.com/B.J.S._CAHILL_RESOURCE.html butterfly map] in 1909. Steve Waterman probably has the only extant "ready to go" map following the same general principles, though Gene Keys may not be far behind. Waterman has a poem with graphics in a similar vein to this xkcd comic that is worth reading.[http://watermanpolyhedron.com/worldmap.html]
  
Notably, what is depicted in the panel itself (the comic being 2D) is technically an {{w|orthographic map projection}}.
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:The Cahill/Keyes/Waterman projections are arguably the only map projections, thus far, that more or less equally balance the inevitable “all maps lie” distortions in size, shape and area.
  
{{clear}}
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:The joke is that the person responding deeply understands map projections; anyone who knows of this projection is a person that Randall would like to get to know.
  
===Waterman butterfly===
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;Peirce Quincuncial
[[File:WatermanButterflyProjection.jpg|frame|The Waterman Butterfly projection]]
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:The {{w|Pierce quincuncial projection}} was devised by {{w|Charles Sanders Peirce}} in 1879 and uses {{w|complex analysis}} to make a {{w|conformal mapping}} of the Earth, that conforms except for four points which would make up the south pole.
Similar to the Dymaxion, the {{w|Waterman butterfly projection}} turns a sphere into an octahedron, and then unfolds the net of the octahedron, which was devised by mathematician {{w|Waterman polyhedron|Steve Waterman}} based upon the work of {{w|Bernard J.S. Cahill}}.
 
  
Bernard Cahill published a [https://www.genekeyes.com/B.J.S._CAHILL_RESOURCE.html butterfly map] in 1909. Steve Waterman probably has the only extant "ready to go" map following the same general principles, though Gene Keys may not be far behind. Waterman has a poem with graphics in a similar vein to this xkcd comic that is worth reading.[https://web.archive.org/web/20120118095915/https://watermanpolyhedron.com/worldmap.html]
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:{{w|Inception}} was a 2010 movie about {{w|meta}} {{w|lucid dream}}ing. It has a complex story that is difficult to follow and leaves the viewer with many questions at the end, and almost needs to be watched multiple times to be understood.
  
[https://www.degruyter.com/downloadpdf/j/pcr.2016.48.issue-4/pcr-2016-0014/pcr-2016-0014.pdf Polyhedral projections] like Cahill, Dymaxion or Waterman typically offer better accuracy of size, shape and area than flat projections, at the expense of compass directionality, connectedness, and other complications.
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:The human brain is not well developed to deal with oddly obvious things. One example is that everyone has a skeleton, but everyone is surprised when a bone pokes through the skin after it has been broken. Another is the fascinating complexity of the human hand, a machine that is amazingly complex driven by a complex interplay of electrical and chemical signals and yet is the size of the hand and is so useful.
  
The joke is that the person responding deeply understands map projections; anyone who knows of this projection is a person that Randall would like to get to know.
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;Gall-Peters
 +
:The {{w|Gall-Peters projection}} is mired in controversy, surprising for a map. {{w|James Gall}} a 19th century clergyman presented this projection in 1855 before the {{w|British Association for the Advancement of Science}}. In 1967, the filmmaker {{w|Arno Peters}} created the same projection and presented it to the world as a "new invention" that put poorer, less powerful countries into their rightful proportions (as opposed to the Mercator). Peters played the marketing game and got quite a few followers of his map by saying it had "absolute angle conformality," "no extreme distortions of form," and was "totally distance-factual" in an age when society was very concerned about social justice. All of these claims were in fact false. The polar regions are horribly distorted, and south of the Mediterranean Sea is "taller" than it should be.
  
{{clear}}
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:Anyone who loves such a politically charged map that has become popular by way of marketing stunts, Randall would rather not have anything to do with.
  
===Peirce quincuncial===
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The title text makes a joke that goes to the familiar meme from ''{{w|CSI: Miami}}'', in which the star, David Caruso starts on sentence, then [[:Category:Puts on sunglasses|puts on his sunglasses]] and then ends it with a corny pun. In this case the pun is on {{w|map projection}} and {{w|projection (psychology)|projection}} in psychology This internet meme has been mentioned previously by xkcd in comic [[626]] and possibly others.
[[File:PeirceQuincuncialProjection.jpg|frame|The Peirce Quincuncial projection]]
 
The {{w|Peirce quincuncial projection}} was devised by {{w|Charles Sanders Peirce}} in 1879 and uses {{w|complex analysis}} to make a {{w|conformal mapping}} of the Earth, that conforms except for four points which would make up the midpoints of sides and lie on equator (the equator is represented by a square and the corners connect the sides in the middle.)
 
 
 
{{w|Inception}} was a 2010 movie about {{w|meta}} {{w|lucid dream}}ing. It has a complex story that is difficult to follow and leaves the viewer with many questions at the end, and almost always needs to be watched multiple times to be understood.
 
 
 
The human brain is not well developed to deal with oddly obvious things. One example is that everyone has a skeleton, but everyone is surprised to see a part of their body represented by an X-ray. Another is the fascinating complexity of the human hand, a machine which is amazingly complex, driven by a complex interplay of electrical and chemical signals; yet is the size of the hand and so useful. A fascination with or fixation on {{tvtropes|ContemplatingYourHands|such thoughts}} is often associated with an altered state of mind brought on by marijuana consumption. Therefore, Randall may be implying that this map would appeal to stoners.
 
 
 
{{clear}}
 
 
 
===Gall–Peters===
 
[[File:Gall-PetersProjection.jpg|frame|The Gall–Peters projection]]
 
The {{w|Gall–Peters projection}} is mired in controversy, surprisingly for a map. {{w|James Gall}}, a 19th-century clergyman, presented this projection in 1855 before the {{w|British Association for the Advancement of Science}}. In 1967, the filmmaker {{w|Arno Peters}} created the same projection and presented it to the world as a "new invention" that put poorer, less powerful countries into their rightful proportions, (as opposed to the Mercator) during the US civil rights movement, when society was very concerned about social justice. Peters played the marketing game and got quite a few followers of his map by saying it had "absolute angle conformality," "no extreme distortions of form," and was "totally distance-factual". These claims were in fact false. The Mercator projection distorts size in favor of shape, and Gall-Peters distorts shape in favor of size, being especially inaccurate at the equator and the poles.
 
 
 
Anyone who loves such a politically charged map that has become popular by way of marketing stunts and false claims, Randall would rather not have anything to do with. Alternatively Randall just dislikes this map projection so much due to the above mentioned major inaccuracies, that he hates anyone who likes it.
 
 
 
{{clear}}
 
 
 
===Title text===
 
The title text makes a joke that goes to the familiar meme from ''{{w|CSI: Miami}}'', in which the star, David Caruso starts a sentence, then puts on his sunglasses and ends the sentence with a corny pun. In this case, the pun is on {{w|map projection}} and {{w|projection (psychology)|projection}} in psychology. Psychological projection is an unconscious defense mechanism wherein a person who is uncomfortable with their own impulses denies having them and attributes them to other people, and blames these people for these impulses. The Sunglasses internet meme has been used [[:Category:Puts on sunglasses|in other comics]] as well.
 
  
 
==Transcript==
 
==Transcript==
Line 177: Line 128:
  
 
{{comic discussion}}
 
{{comic discussion}}
 
+
[[Category:Charts]]
[[Category:Maps‏‎]]
 
[[Category:Dvorak]]
 
 
[[Category:Puts on sunglasses]]
 
[[Category:Puts on sunglasses]]
[[Category:Puns]]
 
[[Category:Aviation]]
 

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