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Messages 613 - 642 of 653   Oldest  |  < Older  |  Newer >  |  Newest
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613
Scott,   1) Support for other triangle flexagons - hopefully in the future 2) Which faces to split in order to perform a given flex - a nice idea! Hopefully...
Yaacov Belenky
ybelenky
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May 2, 2009
2:28 am
614
A base shape is a flexagon that doesn't flex. For a hexaflexagon, the base shape is a hexagon made of 6 equilateral triangles (basically what you get if you...
Scott Sherman
loki3s
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May 2, 2009
2:28 am
615
I Built Website for video of Origami Page- easy paper folding crafts for children and upload it at http://origami.yasmina-eg.com and here other services that I...
origamidesign
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May 2, 2009
4:13 pm
616
I chose the ><^ notation specifically because it's easy to distinguish a flex from simply orienting the flexagon and because it's very obvious what the symbols...
Scott Sherman
loki3s
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May 3, 2009
4:31 pm
617
While the flexagon formula and pat structure provide useful information, they take a bit of knowledge and effort to interpret. Thus my wishlist includes...
Scott Sherman
loki3s
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May 3, 2009
4:31 pm
618
... This latter is what defines a frieze in the flexagon context, the first requirement making the structure one-dimensional, the second making it stackable. ...
mcintosh@...
hxvxmcintosh
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May 4, 2009
5:13 pm
619
Scott,   I accept your suggestion to have two alternative representations - ">" or "R", "<" or "L", "^" or "U". Actually I would prefer to call "^" "Flip"...
Yaacov Belenky
ybelenky
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May 5, 2009
4:22 pm
620
... True, this definition doesn't restrict you to a flat figure, but neither does it restrict you to a simple polygon. In _Flexagons Inside Out_, for example,...
Scott Sherman
loki3s
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May 5, 2009
4:22 pm
621
Scott,   Regarding (3): I see now what you mean. I think I will add a clickable flexagon in the future, however it is not very high in my order of priorities....
Yaacov Belenky
ybelenky
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May 5, 2009
4:22 pm
622
I've posted a video demonstrating a 6 sided bronze hexaflexagon at http://www.youtube.com/watch?v=IDlTAwMGgCw. You can find instructions on how to make it at...
Scott Sherman
loki3s
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May 5, 2009
4:23 pm
623
Agreed, <-1=> looks a bit nonsensical as a math formula. So I've switched the silver tetra flex from R to St to leave RLU as alternates to ><^. Sounds like a...
Scott Sherman
loki3s
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May 7, 2009
4:34 pm
624
I agree that a flexagon simulation is better aimed at exploring certain ideas rather than provide a full interactive animated experience. But given the visual...
Scott Sherman
loki3s
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May 7, 2009
4:34 pm
625
I do not think the following statement is true. "the v-flex only works on flexagons made of equilateral triangles" I named the V-flex for my students Alan...
Bruce McLean
sir_roberttb...
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May 8, 2009
9:59 pm
626
Scott,   I added the second item from your wishlist to my Flexagon Simulator (http://flexagon.vlexo.net/scripts/FlexagonSimulator.cgi) - to find which...
Yaacov Belenky
ybelenky
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May 11, 2009
2:16 pm
627
Bruce Thanks for the information about your paper 'The combinatorics of all regular flexagons'. I've downloaded the paper, and am now trying to digest it. Les...
Les Pook
toppingleslie
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May 11, 2009
2:16 pm
628
A 6-flexagon from 18-leaf straight strip has just two V-classes with rotational symmetry of order 3. Here is the sequence to flex it from one of these...
ybelenky@...
ybelenky
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May 11, 2009
2:21 pm
629
By the way, there is a simple proof that the number of v-flexes (11) in this sequence is the minimal possible (assuming that only pinch flexes and v-flexes...
Yaacov Belenky
ybelenky
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May 11, 2009
2:21 pm
630
Interesting. I always assumed the V was simply because of the shape involved. Ah yes, you can do the v-flex on other triangles flexagons. I had tried various...
Scott Sherman
loki3s
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May 12, 2009
1:35 am
631
Nice flex sequence Yaacov. I'll have to give that one a try... Scott Sherman ________________________________ From: "ybelenky@..." <ybelenky@...> ...
Scott Sherman
loki3s
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May 12, 2009
5:15 pm
632
I added the tuck flex to the Flexagon Simulator (http://flexagon.vlexo.net/scripts/FlexagonSimulator.cgi). Scott's identity VT=P holds - wherever "vtupu"...
Yaacov Belenky
ybelenky
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May 19, 2009
10:22 pm
633
Looks like it could be fun to build and fly http://www.instructables.com/id/Bell-Tetrahedral-Kite/ Bell Tetrahedral Kite Alexander Graham Bell used tetrahedral...
Kathy Knapp
kathyknapp2003
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May 23, 2009
12:14 am
634
Yaacov, did you find a way to fit the tuck flex into your current framework of the flexagon formulas and edge weights? Will it extend to other flexes? As...
Scott Sherman
loki3s
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May 23, 2009
12:14 am
635
Scott, Yes, tuck flex fits into my framework, and I believe any other flex does as well. What's the next flex that you would like me to add to the simulator? ...
Yaacov Belenky
ybelenky
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May 26, 2009
12:00 am
636
Well, you now support what I think of as the most basic flexes on the hexaflexagon, the pinch, v and tuck. They each require at least 9 leaves for the minimal...
Scott Sherman
loki3s
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May 30, 2009
1:49 am
637
I've posted a new video at http://www.youtube.com/watch?v=iDN1Tbsxkec that shows one sort of illusion you can make on a flexagon. I start out by showing how...
Scott Sherman
loki3s
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May 30, 2009
1:49 am
638
I've diagramed all the states you can get to on a 5 sided hexaflexagon using the pinch flex, v-flex, tuck flex and pyramid shuffle. You can find this diagram...
Scott Sherman
loki3s
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Jul 24, 2009
4:21 pm
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...
Scott Sherman
loki3s
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Jul 29, 2009
10:59 pm
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...
Scott Sherman
loki3s
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Jul 29, 2009
10:59 pm
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...
Yaacov Belenky
ybelenky
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Jul 29, 2009
10:59 pm
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...
Scott Sherman
loki3s
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Aug 1, 2009
2:44 am
Messages 613 - 642 of 653   Oldest  |  < Older  |  Newer >  |  Newest
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