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Post ARPC9PFbHIwHnPWlIu by [email protected] |
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More posts by [email protected] |
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Post #ARP9xQIFNMVHe8vKPg by [email protected] |
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When I have insomnia I often visualize shapes. There's one I made up that… |
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Post #ARPAiOAp4gpAgNqW80 by [email protected] |
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First, you can do something very similar starting with the 'pentagonal anti… |
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Post #ARPB7VFFv6Vpr0tXhg by [email protected] |
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You get a regular icosahedron! What's nice here is that the same number of… |
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Post #ARPBQb6gLnANXHzPii by [email protected] |
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@johncarlosbaez Here are both shapes (pyramids in gold) |
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Post #ARPC9PFbHIwHnPWlIu by [email protected] |
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Here's the "capped square antiprismatic molecular geometry", from… |
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Post #ARPD2E80KhUPE97Brc by [email protected] |
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Actually you can have a lot of fun reading about rhenium with 9 hydrogens attac… |
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Post #ARPEDzgrwBZfsXb6bA by [email protected] |
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Yes! @IsaPirsic found that my dream shape is called a 'gyroelongated squar… |
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Post #ARPEQwNTZ8BrMvhSM4 by [email protected] |
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@rjf_berger - thanks! Now I need to learn about the Woodward-Hoffman rules:htt… |
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Post #ARPF2AFow5RL7Xrvqy by [email protected] |
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@johncarlosbaez I am sorry I was confused, it is the Wade rules, I actually had… |
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Post #ARPFbBADXtvc4qwc1w by [email protected] |
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@johncarlosbaez if you like chemistry shapes, lookup PCl5! I think it stays th… |
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Post #ARPFbBEpGlcAJ96IDI by [email protected] |
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@barrygoldman1 - mathematicians have studied problems like: if you put N charge… |
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Post #ARPFgD2C1CtVKJabq4 by [email protected] |
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@rjf_berger - Okay, I'll study those too! I love rules as long as I don… |
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Post #ARPGROTdIDpMQRvKCW by [email protected] |
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@johncarlosbaez Wade rules and the geometric structure of boranes and related s… |
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Post #ARPGgimy3XlblWHBEO by [email protected] |
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@johncarlosbaez all of this leaves me very disturbed because the structure of s… |
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Post #ARPGgirZmPS9zoQrPk by [email protected] |
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@barrygoldman1 - maybe that's why I went into math. 🙃 |
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Post #ARPJxEb3rWnYubGxsm by [email protected] |
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@johncarlosbaez @IsaPirsic Nice! My “dream” Johnson solid is the last one -… |
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Post #ARPSoi2FwLZDCB0DSK by [email protected] |
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@johncarlosbaez @IsaPirsic I didn't quite read your full set of instruction… |
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Post #ARPSqs8bLoGN6f0Awy by [email protected] |
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@kram1032 - cute! |
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Post #ARPW1Irh8MHul3l8y0 by [email protected] |
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@johncarlosbaez @IsaPirsic Ooh it's me! |
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Post #ARPa7ErjJf7puMrTpw by [email protected] |
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@richardelwes - you say "dream". Can you visualize this with your ey… |
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Post #ARPaEeS6aFx5I6PVlA by [email protected] |
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@johncarlosbaez Toy magnetic tiles are great for visualizing these sorts of sha… |
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Post #ARPnB7PuFdYTMv1mHQ by [email protected] |
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@johncarlosbaez of course they also have some "slop" so you can also … |
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Post #ARPnB7UrxBWbcJLk12 by [email protected] |
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@jtwsma - nice! One of my favorite near misses is this one drawn by @csk. It… |
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Post #ARPnobQwaEwZl2LAlU by [email protected] |
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@olligobber @IsaPirsic - wow, it's you I've been dreaming of all these … |
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Post #ARPplcXmCPYoEyF4am by [email protected] |
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@johncarlosbaez @IsaPirsic https://www.dwitter.net/d/6857 |
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Post #ARPsin8GfsHq4eeZ4y by [email protected] |
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@johncarlosbaez Yes, a Johnson solid construction, a gyroelongated pentagonal b… |
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Post #ARPujIEBGKVkQHmmSe by [email protected] |
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@tomruen - that table on Wikipedia lists a cute little series of 4 solids. For… |
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Post #ARPvX1ocYaWa05Xumu by [email protected] |
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@johncarlosbaez And the dual is special, called Dürer's solid, after Germa… |
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Post #ARPveplrDptkxfyXg0 by [email protected] |
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@tomruen - so *that's* what that thing is. I've stared at this picture… |
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Post #ARQAVyOTIAY4PXGmie by [email protected] |
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@johncarlosbaez @tomruen The late David Ritz Finkelstein (who I had the pleasur… |
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Post #ARQAVyT512EcdpQSu0 by [email protected] |
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@bramboro - I had a couple great conversations with David Finkelstein, one in … |
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Post #ARQNwWiPbf0ln5aZAu by [email protected] |
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@johncarlosbaez @jtwsma @csk The rectified truncated icosahedron can be made eq… |
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Post #ARQpT4KKs7pI444LCa by [email protected] |
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@johncarlosbaez Not quite but I guess I’m not too far off being able to do so… |
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Post #ARRG7d0fjKTg3CqhdY by [email protected] |
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@hedron - Beautiful! I think @csk was instead trying to make all the polygons … |
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Post #ARRLvq2I4aeMhUMqG0 by [email protected] |
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@richardelwes - I might try it. I never know if these visualization exercises … |
