tag:blogger.com,1999:blog-2433841880619171855.post5939992404423880305..comments2024-03-27T21:09:44.320+00:00Comments on Pat'sBlog: Infinite Series and Proofs w/o WordsUnknownnoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-2433841880619171855.post-76468849071745846472011-02-11T14:38:03.616+00:002011-02-11T14:38:03.616+00:00Very nice.
He's another example about algebra...Very nice.<br /><br />He's another example about algebraic geometry, and something very fresh, that also involves infinite series and polygons, in this case how many triangles exist in square tilings cut crosswise into triangles:<br /><br /><a href="http://divisbyzero.com/2011/02/10/counting-triangles-on-a-tin-ceiling/" rel="nofollow">Counting Triangles on a tin ceiling</a> by Dave Richeson at his "Divison by Zero" blog.<br /><br />It's also important in that it points out the important interplay between teacher and student. <br /><br />See if you can figure that out, and if not, Dave gives the answer in his next blogpost: <a href="http://divisbyzero.com/2011/02/10/counting-triangles-on-a-tin-ceiling-solution/" rel="nofollow">here</a>.<br /><br />This is actually new and therefore on-going research, which means someone reading this can either further solve (or expand on) the solution, or find if this has been done before.<br /><br />Which is kinda neat, either way.Steven Colyerhttps://www.blogger.com/profile/10435759210177642257noreply@blogger.com