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Cart #quarder-0 | 2021-09-07 | Code ▽ | Embed ▽ | License: CC4-BY-NC-SA

Pay attention to the top row, where the digits 0123456789 have been shuffled. Move the cursor right and left to choose a digit; press a button to select the digit. Your goal is to select four digits which are in order, or in reverse order. (Keeping a consistent beat to your inputs will cost you less life.)

If the presented digits were 5709134682, you could win by clicking on 0, then 1, then 3, and finally 4 since those are four increasing digits appearing in that order within 5709134682. At that point, you will be presented with another puzzle. You can also win by choosing four digits in reverse order.

The visualization in the center makes it easier to find these patterns.

That this is always possible is a consequence of Dilworth's theorem.

P#97002 2021-09-07 15:13

pretty cool and fun!!! took a bit to know what to do without reading the text!!! hahahaha

P#97004 2021-09-07 15:52

It could really use an in-game tutorial. I'm more broadly interested in "What theorems can be turned into video games?" so maybe there are other ways to game-ify the theorem here.

P#97006 2021-09-07 16:03

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