http://tech.groups.yahoo.com/group/Flexagon_Lovers/ Flexagon Lovers Mon, 12 Oct 2009 17:32:48 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/653 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/653 video: http://www.youtube.com/watch?v=KVRqS4eDxnk template: http://loki3.com/flex/ennea.html I'm continuing my video series on triangle flexagons with the Mon, 12 Oct 2009 17:32:23 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/652 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/652 I just spotted a maze somebody else put on a flexagon - http://www007.upp.so-net.ne.jp/ponmama/hekisagon1.htm. The site is in Japanese, but there's enough Mon, 14 Sep 2009 04:34:51 GMT annschwartz101 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/651 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/651 "Serious Fun with Flexagons" looks like a fascinating, comprehensive treatment of the subject, a seminal work. I'm including the link to Amazon below. The Thu, 10 Sep 2009 13:42:31 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/650 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/650 Cool. Glad to see the book is finally out. And judging from the color pictures (http://lespook.files.wordpress.com/2009/08/pook-figs-f-c.pdf), looks like Tue, 08 Sep 2009 17:45:17 GMT Les Pook http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/649 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/649 My book 'Serious Fun with Flexagons. A Compendium and Guide." has now been published by Springer. They have made a good job of it. The book is up to date to Fri, 14 Aug 2009 15:39:48 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/648 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/648 I found the 12 leaf hexaflexagon interesting enough that I added some decoration to it and posted a video at http://www.youtube.com/watch?v=hh4mfJDSeNU. I put Sun, 09 Aug 2009 19:05:26 GMT Yaacov Belenky http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/647 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/647 Scott, Indeed 111111111111 has 36 states rather than 12 - I actually meant the number of pinch classes. Also, the distance is 12, not 24 as I wrote. I am Sat, 08 Aug 2009 03:23:03 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/646 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/646 Yaacov talks about several flexagons in a previous post. To make it easier for others to try them out, I have templates for some of them available at Tue, 04 Aug 2009 01:02:44 GMT Yaacov Belenky http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/645 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/645 When I wrote my last message, I ran a program that checked for every strip up to 15 leaves whether there are pairs of states not transformable one to the Tue, 04 Aug 2009 01:02:34 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/644 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/644 After some more experimentation, I've found that there are several more elegant ways to get to that missing state, flexes that don't require an emergency Tue, 04 Aug 2009 01:02:19 GMT Yaacov Belenky http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/643 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/643 I believe that there are a lot of pairs of states folded from the same strip that cannot be converted using reasonable flexes, and therefore this result can be Sat, 01 Aug 2009 02:44:05 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/642 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/642 I found the missing state. I should have made one more prediction about it based on the 64 states I found versus the 65 Yaacov predicted. The missing state Wed, 29 Jul 2009 22:59:55 GMT Yaacov Belenky http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/641 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/641 Scott,   A nice diagram! Indeed it shows very clearly that tuck flex and pyramid shuffle add a lot to pinch flex and v-flex.   I started to compare it to my Wed, 29 Jul 2009 22:59:46 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/640 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/640 Interesting. I like having confirmation that almost all the states of that hexaflexagon are mapped out. The 3 missing states when all the leaves are uniquely Wed, 29 Jul 2009 22:59:45 GMT Scott Sherman http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/639 http://tech.groups.yahoo.com/group/Flexagon_Lovers/message/639 It's interesting to look at how each of the flexes is represented in the state diagram for the 5 sided hexaflexagon. It may be surprising to see that every