David Richeson
981 followers -
Mathematician
Mathematician

981 followers
David Richeson's posts
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The underside of our card table proves the Pythagorean theorem:
c²=4(½ab)+(a-b)²=a²+b².﻿
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New blog post: Can you find a geometric proof of Brooks's angle trisection? https://divisbyzero.com/2017/03/30/a-geometric-proof-of-brookss-trisection/ Let me know if you can!﻿
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I made two more impossible cylinders over the weekend: a triangle/square cylinder and a heart/diamond cylinder—a spade/club cylinder is left as a homework exercise :-) I have printable pdf templates on my blog so you can make your own. https://divisbyzero.com/2016/10/02/two-more-impossible-cylinders/﻿
10/3/16
2 Photos - View album
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The September issue of Math Horizons is starting to appear in people's mailboxes. So I thought I'd post my article "Sugihara's Impossible Cylinder" http://users.dickinson.edu/~richesod/RichesonImpossibleCylinder.pdf (pdf). You can download a template so you can make your own impossible cylinder http://www.maa.org/sites/default/files/pdf/horizons/RichesonImpossibleCylinder.pdf (pdf). Also, I made a video showing the effect (below).﻿
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Now you can wow your friends. I've created a printable template so you can make your own Sugihara object out of paper. https://divisbyzero.com/2016/07/06/make-a-sugihara-circlesquare-optical-illusion-out-of-paper/﻿
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New blog post: I analyze Sugihara's optical illusion http://bit.ly/29wh1xo.﻿
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The proof is trivial! (Note: hit refresh.)﻿
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New on my blog: I've created measuring tapes that you can use to find the diameter and cross-sectional area of a cylinder or the volume and surface area of a sphere. ﻿
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The international survey of opinion on mathematical journal reform has 432 responses so far. Please join in if you are in the target group: reader, author, reviewer or editor for a mathematical sciences journal in the last 3 years.