2891: Log Cabin - Revision history

172.70.58.45: Undo revision 357751 by 162.158.178.223 (talk) No such Category. (I can think of one possible other 'Floorplan', perhaps a third. Is there even demand for the category to be set up?)

2024-11-24T13:19:25Z

Undo revision 357751 by 162.158.178.223 (talk) No such Category. (I can think of one possible other 'Floorplan', perhaps a third. Is there even demand for the category to be set up?)

162.158.178.223 at 11:04, 24 November 2024

2024-11-24T11:04:32Z

172.68.51.20: /* Explanation */

2024-07-28T17:45:24Z

‎Explanation

Scs: /* Transcript */ flesh out, remove 'incomplete' tag

2024-07-20T15:47:41Z

‎Transcript: flesh out, remove 'incomplete' tag

B for brain: /* Explanation */

2024-02-29T20:28:35Z

‎Explanation

172.69.71.102 at 02:57, 27 February 2024

2024-02-27T02:57:17Z

172.71.154.225: Building inspectors inspect buildings after they are built, and do need to go inside. I'm removing this paragraph that has confused them with people who grant building permits. (This design should have been noticed at the permitting stage too, but w/e)

2024-02-15T03:55:32Z

Building inspectors inspect buildings after they are built, and do need to go inside. I'm removing this paragraph that has confused them with people who grant building permits. (This design should have been noticed at the permitting stage too, but w/e)

42.book.addict at 16:30, 12 February 2024

2024-02-12T16:30:05Z

162.158.158.220 at 10:28, 12 February 2024

2024-02-12T10:28:16Z

172.69.194.80: /* Explanation */

2024-02-12T09:12:03Z

‎Explanation

← Older revision		Revision as of 13:19, 24 November 2024
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	[[Category:Math]]		[[Category:Math]]
	[[Category:Puns]]		[[Category:Puns]]
−	~~[[Category:Floorplans]]~~

← Older revision		Revision as of 11:04, 24 November 2024
Line 37:		Line 37:
	[[Category:Math]]		[[Category:Math]]
	[[Category:Puns]]		[[Category:Puns]]
		+	[[Category:Floorplans]]

@@ Line 12: / Line 12: @@
 [[File:log_cabin_golden_spiral.png|thumb|301px|Golden spiral (approximately) overlaid on the floor plan]]
-This is a comic featuring a {{w|floor plan}}, presumably of a {{w|log cabin}}, and a pun on the word "log". The odd part about it is the right half, which appears to be infinitely recursive copies of the building, a self-similar {{w|fractal}}. The house as a whole represents a {{w|golden rectangle}} with a side ratio of the {{w|golden ratio}} (phi = 0.5 + (1.25 ^ 0.5) ≈ 1.6180339887...), with successively smaller living areas (further subdivided into rooms, to a common but shrunken and rotated plan) being square adjoined by a golden-rectangle of all smaller living areas in the manner of the areas defined by the classic {{w|Golden spiral}} diagram. The joke is that Randall is intentionally conflating the word "log" in the common phrase "log cabin," where "log" refers to the wood the cabin is made of, with a {{w|logarithmic spiral}}, as "log" is shorthand for "logarithmic".
+This is a comic featuring a {{w|floor plan}}, presumably of a {{w|log cabin}}, and a pun on the word "log". The odd part about it is the right half, which appears to be infinitely recursive copies of the building, a self-similar {{w|fractal}}. The house as a whole represents a {{w|golden rectangle}} with a side ratio of the {{w|golden ratio}} (Φ =(1+√5)/2 ≈ 1.6180339887...), with successively smaller living areas (further subdivided into rooms, to a common but shrunken and rotated plan) being square adjoined by a golden-rectangle of all smaller living areas in the manner of the areas defined by the classic {{w|Golden spiral}} diagram. The joke is that Randall is intentionally conflating the word "log" in the common phrase "log cabin," where "log" refers to the wood the cabin is made of, with a {{w|logarithmic spiral}}, as "log" is shorthand for "logarithmic".
 Every square subunit of the premises consists of a main combined kitchen/lounge area, with an adjoining shower-equipped bathroom, and a hallway leading to a closet and two bedrooms (a double-bed one with en-suite bath-equipped bathroom, and another with a single bed; both having their own walk-in closet space). Between the kitchen and the dining table is the open doorway that serves as the entry into the next inwards level of the floorplan.

@@ Line 27: / Line 27: @@
 ==Transcript==
-{{incomplete transcript|Do NOT delete this tag too soon.}}
+: [Plan view of a multiroom house or cabin, in the manner of an architectural drawing. The overall outline is a rectangle, with an aspect ratio of approximately 1:1.6. On the left side, five rooms — an open-plan kitchen/living/dining room, two bedrooms, and two bathrooms — form a perfect square taking up part of the overall rectangular outline. In the remaining rectangular part to the right, the top, square part is taken up by a copy of those five rooms, slightly smaller and rotated 90 degrees clockwise. In the bottom part of that part, the right-hand part is a second copy, smaller and rotated again. In the left-hand part, the bottom part is a third copy, smaller and rotated again. In the top part, the left-hand part is a fourth copy. And so on. It is clear that there is an infinite number of copies of the basic five-room plan, spiraling logarithmically inwards to infinity.]
 :[Caption below the panel]:

← Older revision		Revision as of 20:28, 29 February 2024
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	==Explanation==		==Explanation==
−	~~{{incomplete\|Created by a TRAPPED BUILDING INSPECTOR APPROXIMATELY 1.618033... METERS TALL - Please change this comment when editing this page. Do NOT delete this tag too soon.}}~~
−
	[[File:log_cabin_golden_spiral.png\|thumb\|301px\|Golden spiral (approximately) overlaid on the floor plan]]		[[File:log_cabin_golden_spiral.png\|thumb\|301px\|Golden spiral (approximately) overlaid on the floor plan]]

@@ Line 10: / Line 10: @@
 ==Explanation==
-{{incomplete|Created by a TRAPPED BUILDING INSPECTOR APPROXIMATELY 1.618 METERS TALL- Please change this comment when editing this page. Do NOT delete this tag too soon.}}
+{{incomplete|Created by a TRAPPED BUILDING INSPECTOR APPROXIMATELY 1.618033... METERS TALL - Please change this comment when editing this page. Do NOT delete this tag too soon.}}
 [[File:log_cabin_golden_spiral.png|thumb|301px|Golden spiral (approximately) overlaid on the floor plan]]
-This is a comic featuring a {{w|floor plan}}, presumably of a {{w|log cabin}}, and a pun on the word "log". The odd part about it is the right half, which appears to be infinitely recursive copies of the building, a self-similar {{w|fractal}}. The house as a whole represents a {{w|golden rectangle}} with a side ratio of the {{w|golden ratio}} (phi = 0.5 + (1.25 ^ 0.5) ≈ 1.6180339887...), with successively smaller living areas (further subdivided into rooms, to a common but shrunken and rotated plan) being square adjoined by a golden-rectangle of all smaller living areas in the manner of the areas defined by the classic {{w|Golden spiral}} diagram. The joke is that Randall is intentionally conflating the word "log" in the common phrase "log cabin," where "log" refers to the wood the cabin is made of, with a {{w|logarithmic spiral}}, as "log" is shorthand for "logarithm".
+This is a comic featuring a {{w|floor plan}}, presumably of a {{w|log cabin}}, and a pun on the word "log". The odd part about it is the right half, which appears to be infinitely recursive copies of the building, a self-similar {{w|fractal}}. The house as a whole represents a {{w|golden rectangle}} with a side ratio of the {{w|golden ratio}} (phi = 0.5 + (1.25 ^ 0.5) ≈ 1.6180339887...), with successively smaller living areas (further subdivided into rooms, to a common but shrunken and rotated plan) being square adjoined by a golden-rectangle of all smaller living areas in the manner of the areas defined by the classic {{w|Golden spiral}} diagram. The joke is that Randall is intentionally conflating the word "log" in the common phrase "log cabin," where "log" refers to the wood the cabin is made of, with a {{w|logarithmic spiral}}, as "log" is shorthand for "logarithmic".
 Every square subunit of the premises consists of a main combined kitchen/lounge area, with an adjoining shower-equipped bathroom, and a hallway leading to a closet and two bedrooms (a double-bed one with en-suite bath-equipped bathroom, and another with a single bed; both having their own walk-in closet space). Between the kitchen and the dining table is the open doorway that serves as the entry into the next inwards level of the floorplan.

← Older revision		Revision as of 03:55, 15 February 2024
Line 23:		Line 23:

	It is unknown how the inspectors lost in the inner rooms would shrink in the same ratio, and would only have to head out through the last doorway they walked in through (or two, if they're currently in the en-suite) and then exit each 'main' area in turn until they exited the building itself. If they have any trouble at all (other than rescaling themselves), it would be that there is ''always'' a further inward area that they might consider needs exploring to fulfil their inspection routine. This construction could imply folded spacetime. To perform a correct inspection, the inspectors might need sufficient relation that inner rooms are identical to the outer rooms, and to solve algebraic equations for various parameters.		It is unknown how the inspectors lost in the inner rooms would shrink in the same ratio, and would only have to head out through the last doorway they walked in through (or two, if they're currently in the en-suite) and then exit each 'main' area in turn until they exited the building itself. If they have any trouble at all (other than rescaling themselves), it would be that there is ''always'' a further inward area that they might consider needs exploring to fulfil their inspection routine. This construction could imply folded spacetime. To perform a correct inspection, the inspectors might need sufficient relation that inner rooms are identical to the outer rooms, and to solve algebraic equations for various parameters.
−
−	In any case, though, they would not need to physically enter the floorplan in order to approve the ''design'', so any risk of getting 'lost' would come solely from a psychological inability to break off from the infinite recursion. Approval of ''construction'' would be a different matter. Whether the floorplan could genuinely be infinitely recursive would depend on how Randall has presented it. Typically, these would be submitted as static images (as it is in the comic), in which case at some point there would be insufficient resolution to continue the recursion, effectively ending in a solid pillar. Randall, however, perhaps channeling his inner Black Hat, may have used a program that dynamically generates further levels as you zoom in to the image.

	It could have been that the repetition continued outside of what is drawn here, continuing to grow larger as it moves further out, except that only the top-level external entry has a door: the entries to each lower level only have open doorways marked with no door, and except for the clear marking of external windows on the first four iterations, with no internal ones (and therefore no equivalent windows on the subsequent iterations) precludes that possibility. In fact, the first iteration has windows on the 'southern' edge for the single bedroom and seating area, for which there are no equivalents on any of the other iterations.		It could have been that the repetition continued outside of what is drawn here, continuing to grow larger as it moves further out, except that only the top-level external entry has a door: the entries to each lower level only have open doorways marked with no door, and except for the clear marking of external windows on the first four iterations, with no internal ones (and therefore no equivalent windows on the subsequent iterations) precludes that possibility. In fact, the first iteration has windows on the 'southern' edge for the single bedroom and seating area, for which there are no equivalents on any of the other iterations.

@@ Line 16: / Line 16: @@
 This is a comic featuring a {{w|floor plan}}, presumably of a {{w|log cabin}}, and a pun on the word "log". The odd part about it is the right half, which appears to be infinitely recursive copies of the building, a self-similar {{w|fractal}}. The house as a whole represents a {{w|golden rectangle}} with a side ratio of the {{w|golden ratio}} (phi = 0.5 + (1.25 ^ 0.5) ≈ 1.6180339887...), with successively smaller living areas (further subdivided into rooms, to a common but shrunken and rotated plan) being square adjoined by a golden-rectangle of all smaller living areas in the manner of the areas defined by the classic {{w|Golden spiral}} diagram. The joke is that Randall is intentionally conflating the word "log" in the common phrase "log cabin," where "log" refers to the wood the cabin is made of, with a {{w|logarithmic spiral}}, as "log" is shorthand for "logarithm".
-Every square subunit of the premises consists of a main combined kitchen/lounge area, with an adjoining shower-equipped bathroom, and a hallway leading to a closet and two bedrooms (a double-bed one with en-suite bath-equipped bathroom, and another with a single bed; both having suitable walk-in closet space). Between the kitchen and the dining table is the open doorway that serves as the entry into the next inwards level of the floorplan.
+Every square subunit of the premises consists of a main combined kitchen/lounge area, with an adjoining shower-equipped bathroom, and a hallway leading to a closet and two bedrooms (a double-bed one with en-suite bath-equipped bathroom, and another with a single bed; both having their own walk-in closet space). Between the kitchen and the dining table is the open doorway that serves as the entry into the next inwards level of the floorplan.
 A visitor can also walk in a spiral by using the open doorways in the building plan.