tag:blogger.com,1999:blog-1222092101762956112.post1146277470507276435..comments2024-03-12T23:03:35.556-07:00Comments on Infinigons, etc.: I can prove it, but I don't believe it!Allison Johnsonhttp://www.blogger.com/profile/01731073560005744198noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-1222092101762956112.post-67794506321655074492011-04-11T16:11:26.406-07:002011-04-11T16:11:26.406-07:00The basic idea seems to be: take a circle, make an...The basic idea seems to be: take a circle, make another circle with 24" more circumference. The relative sizes of the circles is certainly different: a big difference with the basketball, not so much with Planet Earth, but the diameter change is constant.<br /><br />Perhaps if you try some smaller circles: a golf ball, a basketball, a car tire, you might see that you always add the same diameter. Seeing that there is no point at which a circle behaves differently and the diameter change is not the same number might help your intuition.Randy A MacDonaldhttps://www.blogger.com/profile/16270311836546574558noreply@blogger.comtag:blogger.com,1999:blog-1222092101762956112.post-39792283870064099122010-12-09T20:13:55.556-08:002010-12-09T20:13:55.556-08:00I think it's interesting that just doing the g...I think it's interesting that just doing the geometry doesn't give any intuition as to *why* the answer is what it is. It's easy in math to say, "This is the answer because there is this proof." But having a meaningful explanation is so much better than a proof.Unknownhttps://www.blogger.com/profile/06407415571082544620noreply@blogger.com