Since New Years is a good time for idealism, I figured I would post some theoretical musings. Consider the series of hexaflexagons made from straight strips of...
Hi everybody, My name is Yaacov Belenky, I live in Israel, and I just found the Flexagon_Lovers group. More than 30 years ago, when I was about 16-18 years...
Welcome Yaacov, Interesting work. We've had a few conjectures on which flexes are sufficient for exploring a flexagon, but no proofs. I like how you use the...
Ann, The subject of my original message should be of course, "Several hexaflexagon related theorems and conjectures", not flexaflexagon. If you as a moderator...
... Unfortunately, there is no way (that I know) to edit a message and/or subject line once it is posted. What I can do, is totally remove entire messagew. So...
Yaacov, In the video of the 5-sided hexaflexagon, I show a slot flex that takes you to a singular state, i.e. you can't do a pinch flex or v-flex from that...
I have followed recent postings on transformations between apparently distinct types of flexagons, that can be folded from the same net, with considerable...
A great new product with potential. This article may be of interest to some of you. http://snipr.com/a66i6 Kathy Knapp, Peoria, Illinois, USA Do well your...
Les, I hope to upload an article with proofs on my theorems in a week or two. Regarding the article in Russian: First of all, it is a continuation of a series...
Scott, See my remarks below (indented and marked "[YB]") Yaacov Belenky ... wrote: Yaacov, In the video of the 5-sided hexaflexagon, I show a slot flex that...
Apparently the tiny url didn't work, so here is the whole article. Bendy gadget future for graphene By Jason Palmer Science and Technology reporter, BBC News A...
I was looking further into some of the flexes and found an interesting result. For each of the four flexes - pinch flex, v-flex, tuck flex and pyramid shuffle...
So for the nets that produce multiple flexagons, do all such variants always have the same torsion, or can they be different? (Other than the obvious mirrored...
Yes, flexagon variants folded from the same net can have different torsion. The flexagons shown in Figures 6.1 and 6.25 of 'Flexagons inside out' are an...
Ah yes, of course. We also found that many nets for point flexagons generated flexagons with different torsion. I guess I was specifically wondering about...
Scott, I was interested in your statementthat "each of the four flexes - pinch flex, v-flex, tuck flex and pyramid shuffle - it's possible to create a flexagon...
Hmmm. I'm not sure what the shape of your strip is, but perhaps you could try pasting together leaves 8 and 7. Then fold it in half between pats (5 4 6) and...
HEXAFLEXAGONS, PROBABILITY PARADOXES, AND THE TOWER OF HANOI by Martin Gardner, revised edition, is now available on Amazon. The publisher is Cambridge...
Ann Thanks for the information. I've ordered a copy of Martin Gardner's book, and will add it to the references in my new book. The manuscript is nearly ready...
The most basic flex on a triangle flexagon is the pocket flex. It's the only flex that can be done on all triangle flexagons, down to the simplest 6 leaf...
Howdy, I am rather a novice when it comes to flexagons. This weekend I printed out and constructed Robin Moseley's Pentahexaflexgaon variation 1/1 (I don't...
Hi Bob, The way you got into the state where you had two pyramids was by doing a series of "pocket flexes." You may have started doing a pinch flex (the...
Who knew that there were so many people fascinated by these addictive objects! Our correspondents hail from all over world and include published (and...
Hi Les, The last time I spoke to someone at A K Peters, the contact told me that the book would be printing in late Janurary. So it's time for me to call them...
I love the video that Scott posted! I would not want to try to write out instructions and diagrams for all those flexes. I notice the the You Tube views of...
Hi Les, I'm not sure if this is what you're discussing below, but there are many flexagons that can be made using the same strip (or template or freize) shown...
Thanks, Scott. The flexes to undo the contraption proved to be my undoing. I believe I made a mistake along the way and ended up in yet another strange state....
Ann Yes, this is the sort of thing I had in mind. My rather loose definition is: 'Some flexagons exist in different forms with different forms belonging to...
Scott wrote: I posted a video that shows these flexes on the pentahexaflexagon - http://www.youtube. com/watch? v=tGQ_I4_ N3sE. ... Scott, That video is very...
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