Today is 24 April 2014, the 114th day of the year.
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			Sally Simplewit's mother wants to tile the bathroom. Having no taste, she has decided to do a multicolored pattern of square tiles around the tub, and she wishes to do so in such a way that no tile shares an edge with another tile of the same color, and so that each tile shares an edge with no more than one tile of any given color. Sally (scientist in training) is given the job of determining the minimum number of different colors to accomplish this, so that her mother can place the order for the tiles. She is aware of the four-color theorem, which states that four colors suffice to color any map so that no two neighboring countries are the same color, but this is clearly a little different. Today's challenge: Can you help Sally determine the minimum number of colors required for her mother's decorating plans? HINT Solution to yesterday's challenge THE MATH STORE LIVES! At last, the new Math Store is open, including all the downloads we have offered in the past. Please come poke around the shop and let us know what you think! NEW FOR 2012: Platonic Realms is at last being rewritten and moved to a new server. Please check back soon to see the new look, new content (together with all your old favorites), and an all new math store! This site is registered with the Internet Content Rating Association (ICRA), and is suitable for all ages. Because we value freedom of expression on the internet as well as the privacy and comfort of our visitors, Platonic Realms is also bug-free and blink-free. Platonic Realms uses cookies for site-traffic analysis, but these automatically expire soon after your visit. Our privacy policy is very simple: we ALWAYS ask our visitors before collecting any personal information, and we NEVER share information about our visitors with anyone else. Period.

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