# Category Archives: games

## Tiny Polka Dot

I’m really excited about Tiny Polka Dot, a Kickstarter project producing a deck of colorful, mathy cards especially for young children—along with a list of games to play with the cards. I have a four-year-old and I’m sure he is … Continue reading

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## The chocolate bar game: variants

Remember the chocolate bar game? Today I want to talk about some variants. Recall that the losing positions for the chocolate bar game can be visualized like this: What if we specify that you win if you end with a … Continue reading

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## The chocolate bar game: losing positions proved

In my last post I claimed that the losing positions for the chocolate bar game are precisely those of the form (or the reverse), that is, in binary, positions where one coordinate is the same as the other with any … Continue reading

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## The chocolate bar game: losing positions characterized

The evident pattern from my last post is that losing positions in the chocolate bar game appear to be characterized by those where the binary expansion of is the same as the binary expansion of with any number (including zero) … Continue reading

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## The chocolate bar game: losing positions in binary

Recall the chocolate bar game from my last post, whose winning and losing positions can be visualized like this: Here’s a list of some losing positions on or above the main diagonal (dark blue squares in the above picture), ordered … Continue reading

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## The chocolate bar game

Suppose there is an rectangle. I like to think of it as one of those bars of chocolate made up of squares: Two players take turns. On a player’s turn, she must break the chocolate bar along any one of … Continue reading

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## Link: Chat Noir

Just a link for you today: Chat Noir is a fun game where you try to trap a cat before it escapes. It’s quite mathematical, too. Can you figure out strategies for trapping the cat? Can you always win, or … Continue reading

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## Straightedge and compass construction challenges

I haven’t written here in quite a while—I’ve switched into “work on research for my dissertation really hard so that I can actually graduate” mode, and with a 21-month old in the mix that leaves very little time for blogging. … Continue reading

Posted in challenges, games, geometry, links, meta | | 5 Comments

## Visualizing nim-like games

Inspired by the comments on this post, I’ve had some ideas brewing for a while—I’m just only now getting around to writing them up. The topic is visualizing winning strategies for "nim-like" games. What do I mean by that? By … Continue reading

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## Wythoff’s game at Three-Cornered Things

I’ve really been enjoying Zachary Abel’s series of posts on Wythoff’s game [Wythoff’s Game: Red or Blue?; A Golden Observation; The “Fibonacci”est String; Wythoff’s Formula], over on his blog Three-Cornered Things. The Fibonacci numbers show up in the strangest places! … Continue reading

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