tag:blogger.com,1999:blog-6172724226008713264.post3239573045678486965..comments2024-03-27T23:37:29.402-07:00Comments on P4P: A Simple Proof: Why you will never see an eight sided snowflakeBenhttp://www.blogger.com/profile/00235189388350960670noreply@blogger.comBlogger7125tag:blogger.com,1999:blog-6172724226008713264.post-15321216946967691622023-08-31T04:12:25.946-07:002023-08-31T04:12:25.946-07:00The inherent structure of our visual perception li...The inherent structure of our visual perception limits our ability to perceive an object with eight sides all at once. <a href="https://adbellmedia.com/posts/how-to-safeguard-your-personal-information-on-social-media" rel="nofollow">How Information Safeguard</a> Our brain processes visual information in a way that favors simpler shapes.Benedictnoreply@blogger.comtag:blogger.com,1999:blog-6172724226008713264.post-62461789735101642682013-06-07T12:18:27.785-07:002013-06-07T12:18:27.785-07:00Thank's you made it really very clear!!!Thank's you made it really very clear!!!Anonymoushttps://www.blogger.com/profile/13942848894392556877noreply@blogger.comtag:blogger.com,1999:blog-6172724226008713264.post-22250284615822240192011-12-29T07:10:04.598-08:002011-12-29T07:10:04.598-08:00Thanks Gina, I have updated the proof at the botto...Thanks Gina, I have updated the proof at the bottom.Benhttps://www.blogger.com/profile/00235189388350960670noreply@blogger.comtag:blogger.com,1999:blog-6172724226008713264.post-85819153485189374262011-12-27T15:48:16.974-08:002011-12-27T15:48:16.974-08:00In addition to the vector addition mistake timwiza...In addition to the vector addition mistake timwizard pointed out, I think there is another mistake in the last proof. I think OB - OA = CO.Ginahttps://www.blogger.com/profile/10173220151990261023noreply@blogger.comtag:blogger.com,1999:blog-6172724226008713264.post-14265227890785633542011-12-26T07:36:40.098-08:002011-12-26T07:36:40.098-08:00@timwizard: you are absolutely right about the red...@timwizard: you are absolutely right about the red line. Its terminus is in the right place, but not its origin.<br /><br />I added a brief proof at the end that the green line will be shorter.Benhttps://www.blogger.com/profile/00235189388350960670noreply@blogger.comtag:blogger.com,1999:blog-6172724226008713264.post-5005207045461920762011-12-26T02:12:48.970-08:002011-12-26T02:12:48.970-08:00I'm not sure I follow.
The diagram where you ...I'm not sure I follow.<br /><br />The diagram where you add the blue and yellow vectors seems inaccurate. I don't think the red vector is the sum of the blue and yellow ones; there is no way it could be horizontal since the blue one has some angle and the yellow one doesn't. I suppose if you rotated it after the sum it still works, but its unclear in that diagram.<br /><br />Also " Start with the yellow line, then rotate it by some angle θ to get the blue line. Subtract the yellow line from the blue line to get the green line. If θ is less than 360/6, the green line will be shorter than the yellow line." It isn't clear at all to me why thats true.timwizardhttps://www.blogger.com/profile/04605238263084677471noreply@blogger.comtag:blogger.com,1999:blog-6172724226008713264.post-27783722074174705192011-12-25T19:59:49.745-08:002011-12-25T19:59:49.745-08:00Super cool!Super cool!Anonymousnoreply@blogger.com