Today is 21 August 2017, the 233rd day of the year.
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			Uncle Otto lives in an unusual house. The south facing window, for instance, is made in the shape of a right triangle. One day Uncle Otto decides to put some reflective film on the glass, the kind that you can see through from one side but which is reflective on the other side. He carefully measures the window and then cuts out a large triangle of reflective film in just the right shape. However, when he tries to put the film on the glass, he discovers – horror of horrors! – that he has cut the film from the wrong side, so that to make the triangle of film fit the triangle of glass, he would have to put the reflective side towards the inside of the house. After thinking it over, Uncle Otto decides that instead of going to the hardware store and buying more film, he'll just cut the triangular piece he's got into enough smaller shapes so that when he puts them back together the right way, they'll fit the window properly, with the reflective side pointing out. Today's challenge: Can you help Uncle Otto do this? (Don't assume anything about the triangle other than that it has one right angle.) 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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