Timeline for An immortal ant on a gridded, beveled cube divided into 3458 regions
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 17, 2023 at 16:27 | comment | added | plasticinsect | Not correct, (as @JaapScherphuis explains well) but an understandable mistake. It really looks like this approach should work. Even knowing the answer, I find my intuition trying to fight back. (That's one of the things I like about this class of puzzle, honestly.) | |
| Jul 17, 2023 at 9:27 | history | edited | PattuX | CC BY-SA 4.0 |
added 112 characters in body
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| Jul 17, 2023 at 9:26 | comment | added | PattuX | Oh, you're right. I guess I was too hand-wavy then when it comes to the bottom side. Now I see how your answer contradicts mine, thanks! | |
| Jul 17, 2023 at 9:19 | comment | added | Jaap Scherphuis | Your path that fills the square uses a zig-zag pattern along the top to fill the area above the entrance/exit at the side of the square. That means that this pattern only works for an entrance/exit that is an even distance from the corners. Unfortunately, the 23 layers shift an odd distance, so your face-filling pattern only works on one side. | |
| Jul 17, 2023 at 9:17 | comment | added | PattuX | See the last paragraph: If you start the first layer in the middle on some side, you will end up in the middle of the side to the left of the side you started with as the starting point in each layer moves to the left by 1 square. In the general case where we don't necessarily have a cube but arbitrary side lengths you can almost always modify the path on the top square to shift around at which point you go onto the first layer. For large enough side lengths (I think 3 or 4 suffices) you can always find a path s.t. neither the first nor the last layer start/end at a corner. | |
| Jul 17, 2023 at 9:10 | comment | added | Jaap Scherphuis | When you traverse the sides layer by layer, how do you know that you will end up in the middle of the side of the bottom face? | |
| Jul 17, 2023 at 9:08 | history | answered | PattuX | CC BY-SA 4.0 |