tag:blogger.com,1999:blog-235276292454918436.post567407250312255069..comments2024-03-23T17:12:29.672-04:00Comments on Math Hombre: Tessellations and GeogebraJohn Goldenhttp://www.blogger.com/profile/18212162438307044259noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-235276292454918436.post-20888830108287817572010-08-28T15:43:06.734-04:002010-08-28T15:43:06.734-04:00John, gorgeous work! I admire your obvious immersi...John, gorgeous work! I admire your obvious immersion and fascination with tesellations. Thanks for sharing.gdixnoreply@blogger.comtag:blogger.com,1999:blog-235276292454918436.post-34557442639765098982010-03-24T13:40:52.790-04:002010-03-24T13:40:52.790-04:00There's a sketch for one triangle tessellation...There's a sketch for one triangle tessellation here! Try the Escher style triangles. He actually used hexagons and pentagons a lot because of the intricate relationships that are possible.<br /><br />I love reptiles - they're an interesting related case to quasiperiodic tilings that have the same kind of inflation and deflation. Check out my colleague's <a href="http://merganser.math.gvsu.edu/david/penrose/" rel="nofollow">Penrose tiling applet</a>! David Austin is a Java master, and quite an effective writer. Check out the <a href="http://www.ams.org/featurecolumn/archive/penrose.html" rel="nofollow">related article</a> at the AMS.John Goldenhttps://www.blogger.com/profile/18212162438307044259noreply@blogger.comtag:blogger.com,1999:blog-235276292454918436.post-14678117956278860872010-03-24T12:59:40.269-04:002010-03-24T12:59:40.269-04:00I'm no good with geogebra and geometer's s...I'm no good with geogebra and geometer's sketchpad, but when I taught the math for et class, some of my students loved doing (for e.c.) the thing where you start with a tesselating shape, draw a wiggly line from one corner to the next, cut that edge off along your wiggly line, and attach it to the opposite side, for a very fun tesselating shape. (Hmm, how would you do something similar to a triangle?)<br /><br />Also, have you seen the posts on rep-tiles? (<a href="http://toomai.wordpress.com/2010/02/12/rep-tiles/" rel="nofollow">Here</a>.) Not exactly tesselation, but similar...Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.com