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Messages 344 - 373 of 653   Oldest  |  < Older  |  Newer >  |  Newest
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344
There are a wide variety of flexagons you can make out of triangles, but I¢ve seen very few of these described anywhere. I thought I¢d address this...
Scott Sherman
loki3s
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Jun 3, 2007
4:53 pm
345
Scott has posted some great triangle flexagon variations. I do not believe anyone has posted templates on the Internet for most of these variations. This is...
robin_moseley
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Jun 4, 2007
4:13 am
346
In our enthusiasm for mathematical analysis of flexagons some of us seem to be in danger of leaving behind some of the less mathematically inclined members of...
LES POOK
toppingleslie
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Jun 5, 2007
4:14 am
347
Thanks. I would add that it's also interesting to shoot particles at them to get them to change energy levels (flex :). One thing useful about having a wide...
Scott Sherman
loki3s
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Jun 5, 2007
4:16 am
348
Thanks, the video helps. If a picture is worth a thousand words, how many is a video worth? Pictures and video are especially useful for flexagons. As I've...
Scott Sherman
loki3s
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Jun 5, 2007
4:18 am
349
Les, i haven't been following this discussion. But the words Cayley trees caught my eye Eric Rains and I wrote a paper about Cayley's enumeration of trees...
N. J. A. Sloane
njasloane
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Jun 5, 2007
11:14 pm
350
Les is right, the references on the Internet for Cayley trees is very technical and difficult to both understand and translate to flexagons. I will make an...
robin_moseley
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Jun 5, 2007
11:14 pm
351
... I hope that what I am going to say is not going to be considered even more mathematical than what has come before. Perhaps this began with an attempt to...
mcintosh@...
hxvxmcintosh
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Jun 5, 2007
11:16 pm
352
... Or even the more general topic of Graph Theory - the technical one, not the kinds of graphs you use to draw polynomials or show monthly rainfall. Looking...
mcintosh@...
hxvxmcintosh
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Jun 7, 2007
4:10 am
353
I wanted to continue pursuing the possibilities of friezes with multiple foldings as have been discussed recently. I choose the 12 faced Hexaflexagon with a...
robin_moseley
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Jun 7, 2007
4:10 am
354
It¢s always good to have corroboration, especially when arrived at using different methods. And the dual markings for a net is interesting. I¢ve primarily...
Scott Sherman
loki3s
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Jun 7, 2007
4:10 am
355
... I guess this is what I would call a third level triangle flexagon. At least, the first variant, whose Tuckerman Tree has a root with three branches each of...
mcintosh@...
hxvxmcintosh
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Jun 8, 2007
1:33 am
356
... On the other hand, the lists of zodiac symbols show the same glyphs for variants II and IV, differing only in color. Ought that have been III and IV and...
mcintosh@...
hxvxmcintosh
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Jun 8, 2007
8:33 pm
357
... This is a good idea and would help with understanding the dynamics of the flexagon. When I get some time, I will add that to this model. ... You are...
robin_moseley
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Jun 13, 2007
3:50 am
358
The recent discussion about flexagon presentation seems to be interested in several properties of flexagons, concentrating attention for the most part on...
mcintosh@...
hxvxmcintosh
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Jun 13, 2007
3:50 am
359
... Nice idea! There are so many possibilities. I wish I had thought of this. ... alternate ... the ... Another intriguing design idea. I like this and will...
robin_moseley
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Jun 13, 2007
3:50 am
360
Continuing the retrospection directed at dodecahexaflexagons folded up from a straight strip, part ( I ) observed that some flexagons are counters and that...
mcintosh@...
hxvxmcintosh
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Jun 15, 2007
11:29 pm
361
Given the standard assumptions about how a hexaflexagon behaves, there¢s only one unique folding of a straight strip of triangles to make a 3-sided, 6-sided...
Scott Sherman
loki3s
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Jun 16, 2007
9:17 pm
362
The mirror images which were Robin Moseley's Variants III and IV of a dodecahexaflexagon wound from a straight strip almost have a symmetry by 180 degree...
mcintosh@...
hxvxmcintosh
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Jun 16, 2007
9:18 pm
363
These Tuckerman traverse and Tukey triangle diagrams are quite fascinating for the hexaflexagons with more and more faces. Scott found four of the maps for...
Robin C. Moseley
robin_moseley
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Jun 17, 2007
3:40 pm
364
In message 258, Dr. McIntosh asks: 1) What are good ways to decorate the faces of a flexagon? Can they be compatible with the symmetry group of the triangular ...
Ann Schwartz
annschwartz101
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Jun 17, 2007
10:54 pm
365
Interesting. I guess I missed a few. Now I'll have to go back and figure out why I thought I had an exhaustive list. Scott Sherman ... From: Robin C. Moseley...
Scott Sherman
loki3s
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Jun 17, 2007
10:54 pm
366
Taking braiding and scrolling as the bases of flexagon design and operation, Part III commented on some pairs of braids which have turned up while trying to...
mcintosh@...
hxvxmcintosh
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Jun 18, 2007
4:02 pm
367
I discovered when creating my dodecahexaflexagon plates that the flexagons with larger numbers of faces opened a window into a lot of flexagon mathematical...
Robin C. Moseley
robin_moseley
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Jun 18, 2007
4:05 pm
368
So I looked a bit more thoroughly, found 14 variations, then discovered that this result is already known -...
Scott Sherman
loki3s
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Jun 19, 2007
9:59 pm
369
... Strictly speaking, probably neither one, but they are convenient and descriptive adjectives. What was proposed to solve the problem of congestion on a...
mcintosh@...
hxvxmcintosh
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Jun 19, 2007
10:02 pm
370
14 straight strip variations for the 15 sided hexaflexagon, even more than I thought! The reference is one I have not seen before: --> M. Kosters, A theory...
robin_moseley
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Jun 20, 2007
3:22 am
371
I wanted to understand these braided flexagons, so I created a map for the even-counters nonaflexagon example discussed below. Here is my map: ...
robin_moseley
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Jun 20, 2007
3:23 am
372
To help illustrate what Dr. McIntosh is talking about when he's referring to braids, I¢ve posted the friezes for braids with 4 through 9 sides at...
Scott Sherman
loki3s
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Jun 21, 2007
5:42 am
373
... The structure has been called a flexacup. However, quoting ... which shows that there are all kinds of ways of counting with greek numbers. If hexaflexagon...
mcintosh@...
hxvxmcintosh
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Jun 22, 2007
10:45 pm
Messages 344 - 373 of 653   Oldest  |  < Older  |  Newer >  |  Newest
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