Talk:2891: Log Cabin

Explain xkcd: It's 'cause you're dumb.
Revision as of 23:21, 7 February 2024 by 172.69.60.216 (talk) (Add note about iteration limit)
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"The odd part about it is the bottom right corner, which appears to be infinitely recursive copies.."

The whole right side is the left side, shrunk and recursed. Each iteration rotated 90 degrees. The 'shrink' is about 1.616 by my squint, a lot like a "Golden Ratio" LOGarithmic spiral, as NickM says. PRR (talk) 19:49, 7 February 2024 (UTC)

This is a LOGarithmic spiral 172.70.210.103 19:52, 7 February 2024 (UTC)NickM
It is precisely the golden ratio, assuming the left side is a square Terdragontra (talk) 22:09, 7 February 2024 (UTC)

Assuming a standard 36" wide front door, then the next "front" door would be 22.27 inches, then 13.78 inches, then 8.53 inches, at which point I doubt the inspector could squeeze through it, though I guess they could still take a peek inside the next recursion. 172.68.34.58 20:57, 7 February 2024 (UTC)

Infinite bedrooms, infinite baths, close to schools and shopping. 172.69.247.48 21:00, 7 February 2024 (UTC)

Government: Your property tax comes up to infinite dollars. --172.71.26.160 21:45, 7 February 2024 (UTC)

Interesting comparison with the archetypal "labyrinth". It's actually a fractal version that only avoids being unicursal-with-no-dead-ends due to the off-living-room private spaces being quite trivial offshoots. Which arguably makes it fairly classical in nature. 172.70.90.114 21:18, 7 February 2024 (UTC)

Should there be a mention that due to the limitations of the image format, it only actually achieves eight iterations? Which makes sense given that construction materials also have limits, and is still enough that the inspectors might be a bit confused if they don't pay close enough attention. 172.69.60.216 23:21, 7 February 2024 (UTC)