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==Explanation==
 
==Explanation==
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[[File:log_cabin_golden_spiral.png|thumb|301px|Golden spiral (approximately) overlaid on the floor plan]]
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{{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.}}
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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, like a {{w|fractal}}. The house as a whole represents a "golden rectangle" with a ratio of approximately 1.618, with sucessively 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, as opposed to the mathematical function of the "log" ({{w|logarithm function}}), of which the ratios here are a special case.
  
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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".
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Every square subunit of the premises consists of a main combined kitchen/lounge area, off which leads a shower-equipped WC, two bedrooms (a double-bed one with ensuite bath-equipped bathroom, and another with a single bed; both having suitable walk-in closet space) and the door that serves as the entry into the next inwards level of the floorplan.
  
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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.
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In the title text, Randall says that he is confident that building inspectors will approve his log cabin, assuming that they can escape. As one moves deeper into the infinite spiral of architecture, the entire log cabin ''seems'' to be a denser labyrinth of rooms and hallways.
  
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A visitor can also walk in a spiral by using the open doorways in the building plan.
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It is unknown how the inspectors lost in the inner rooms would shrink in the same ratio, and would actually only have to head out through the last door 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 which they might consider needs exploring in order to fulfil their inspection routine.
  
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In the title text, Randall says that he is confident that building inspectors will approve the design of his log cabin, assuming they can escape. As one moves deeper into the infinite spiral of architecture, the entire log cabin ''seems'' to be a denser labyrinth of rooms and hallways.
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The most famous bad math joke on the title is  
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  $\int 1/cabin d(cabin) = houseboat $
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as a houseboat is (log cabin + C). This does not seem to be related to the topic of this comic.
  
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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.
 
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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.
 
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[https://www.generations-quilt-patterns.com/log-cabin-quilt-block.html Log Cabin] is also a classic quilting block, which starts with a tiny square and spirals outwards.
 
  
 
==Transcript==
 
==Transcript==
 
{{incomplete transcript|Do NOT delete this tag too soon.}}
 
{{incomplete transcript|Do NOT delete this tag too soon.}}
  
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:[A drawing of the top view of a log cabin, which includes two beds, a kitchen, a bathroom and furniture. A smaller version of the log cabin is connected to the main building. An even smaller version is connected to the smaller version, and so on, forming a golden rectangle.]
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:[A drawing of the top view of a log cabin, which includes two beds, a kitchen, a bathroom and furniture. A smaller version of the log cabin is connected to the main builing. An even smaller version is connected to the smaller version, and so on.]
  
 
:[Caption below the panel]:
 
:[Caption below the panel]:
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: Log cabin
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:Log cabin
  
 
{{comic discussion}}
 
{{comic discussion}}

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