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Infinitely More

Infinite Games

Face Up

How long is the longest play of the game? Can you play forever, avoiding the terminal all-face-up position?

Joel David Hamkins's avatar
Joel David Hamkins
Apr 19, 2025
∙ Paid

In this post and the next several posts coming, I should like to show you several interesting sequence games, beginning with the simple solitaire game I call Face Up, played with twenty random cards placed face down in a row.

A move in the game consists of turning a face-down card face up, and then turning over the card immediately to the right, if any. …

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