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Messages 1396 - 1425 of 4044   Oldest  |  < Older  |  Newer >  |  Newest
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1396
Hi Adrian, What is the calculation for the height of a snub antiprism? I suppose it depends on the value of -s n. The polygons of the snub antiprisms could be...
vortexswirling
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Feb 2, 2008
9:14 pm
1397
Hi Roger ... Yes, n depends on the ring radius, and this with the polygon determines the height. I have included the code I use below. It shows how the height...
Adrian Rossiter
adrianrossiter
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Feb 3, 2008
3:23 pm
1398
Adrian Hi. The concept of having a "nearness rating" that is dependent on the number of edges has come up previously on the poly list, although I must say that...
hedron
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Feb 3, 2008
8:08 pm
1399
Hi Jim ... I had in mind that the relationship would go the other way, and that having more faces/edges would lower the value of the rating. In which case the...
Adrian Rossiter
adrianrossiter
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Feb 4, 2008
10:19 am
1400
Hi Adrian, You may have see this. http://spidron.hu/archispidron/ The spidron utility doesn't seem to work like this, though. Often it won't do the...
vortexswirling
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Feb 5, 2008
2:40 am
1401
Hi Roger ... The program won't make these. They appear to made from two spidron modules per edge, whereas the normal construction only has one module per edge ...
Adrian Rossiter
adrianrossiter
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Feb 5, 2008
11:49 am
1402
Hi Roger ... I forgot this bit. There is a limited range of angles that will make the spidron units close for a particular polygon. You can see this by running...
Adrian Rossiter
adrianrossiter
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Feb 5, 2008
12:02 pm
1403
Hi Adrian, I've looked at the ratio of star antiprisms to their retrograde pair. I'm looking at snub antiprisms now. There are some problems compiling. I have...
vortexswirling
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Feb 5, 2008
2:57 pm
1404
Hi Roger ... The third argument is for the complex parts of complex roots. If you don't want those then you can pass 0 for the third argument (0 is given as a...
Adrian Rossiter
adrianrossiter
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Feb 5, 2008
4:17 pm
1405
Hi Adrian, I had guess that "type" was the -s parameter so was able to make some headway. ... Over lunch I left it run up to 30000 (only coprime n/d) and never...
vortexswirling
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Feb 5, 2008
8:09 pm
1406
Hi Roger ... It didn't really have more than two values in the end. Plugging a root into the height equations produced a valid intermediate height value of 0....
Adrian Rossiter
adrianrossiter
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Feb 6, 2008
11:04 am
1407
... and 9 -s 0 and 2 -s 1. I think that is all of them. Adrian. -- Adrian Rossiter adrian@... Home: http://antiprism.com/adrian...
Adrian Rossiter
adrianrossiter
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Feb 6, 2008
4:12 pm
1408
Adrian I have been trying for some time to generate the full set of Isohedral Deltahedra as set out in Shepherd's paper of the same name, published in 1999....
hedron
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Feb 7, 2008
10:59 am
1409
Hi Jim ... I think I get that. These are Schwartz triangles. It looks like these can be obtained from the kaleido code (that Antiprism includes). Have a look...
Adrian Rossiter
adrianrossiter
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Feb 7, 2008
12:30 pm
1410
... Schwarz triangles. Adrian. -- Adrian Rossiter adrian@... Home: http://antiprism.com/adrian...
Adrian Rossiter
adrianrossiter
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Feb 7, 2008
12:39 pm
1411
Hi All, All the proper n/d snub antiprisms have all vertices with connectivity 5 with only one exception. The case of n = 2. For n = 2 (-s 0 and 1) there are 4...
vortexswirling
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Feb 7, 2008
3:50 pm
1412
Hi Roger ... It shows the sensitivity to the fraction change around the largest possible fraction. The damping effect as the sequence progresses also suggests...
Adrian Rossiter
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Feb 8, 2008
9:58 am
1413
Hi Adrian, Did you try anything with Shephards method? I thought it might be fun to add dipyramids to the program using Shephards formulas and then rotating...
vortexswirling
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Feb 12, 2008
5:07 pm
1414
Hi Roger ... I have made some progress on the search program. For a symmetry type you pass three vectors. These corrspond to rotation axes through a face,...
Adrian Rossiter
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Feb 13, 2008
12:48 pm
1415
Hi Adrian, ... It sounds like you are having luck. I tried some more with the dipyramid formula with no luck. It seems to me that if one is trying to make a...
vortexswirling
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Feb 13, 2008
3:45 pm
1416
Hi Roger and Adrian Your approach looks good to me. I can't wait to see the icosahedral results. Given that Shephard's paper missed 5 solutions ( I can only ...
hedron
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Feb 13, 2008
4:08 pm
1417
Hi Jim ... There seem to be some numeric issues to my approach. What I am finding is that when I use A, B, C to calculate b and c then I check distances and...
Adrian Rossiter
adrianrossiter
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Feb 14, 2008
9:22 am
1418
Hi Roger ... It looks like alpha should be the reciprocal of what is given i.e. 1/(2*sin(PI*d/n)). Adrian. -- Adrian Rossiter adrian@... Home:...
Adrian Rossiter
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Feb 14, 2008
11:19 am
1419
Hi Adrain, ... I should have tried this as I was trying everything else! A hint was that for gamma, sqrt(1 - (term*term)) didn't specify absolute value, so ...
vortexswirling
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Feb 14, 2008
12:53 pm
1420
Hi Roger ... You will have to turn 90 degrees around the x-axis, and may need to follow that by a 90 degree turn around the y-axis. ... You can use polygon -E...
Adrian Rossiter
adrianrossiter
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Feb 14, 2008
1:09 pm
1421
Hi Adrian, ... This worked. For even n only the x-axis rotation was needed, but for odd n, with the y-axis rotation, the results were a compound of two n/d ...
vortexswirling
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Feb 14, 2008
6:55 pm
1422
... This would be the compound of 5 octahedra. The octahedra can be thought of the 4/1 dipyramid. Then the compound is easily made as polygon -t dip 4 |...
vortexswirling
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Feb 14, 2008
9:32 pm
1423
Hi Roger and Jim ... I have run the seach program and started looking through the output. For the octahedral cases it missed the compound of 3 octahedra. At...
Adrian Rossiter
adrianrossiter
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Feb 15, 2008
6:51 pm
1424
Adrian, ... reflection ... Another way to look at this is that 8-fold dihedral symmetry of the 8/3 dipyramid can fit inside the reflection planes of octahedral...
vortexswirling
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Feb 15, 2008
8:39 pm
1425
Hi, ... Actully this happens if a cut is made anywhere between the reflection planes. Here is a model of a cube that has been cut this way and the halves...
vortexswirling
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Feb 16, 2008
2:54 am
Messages 1396 - 1425 of 4044   Oldest  |  < Older  |  Newer >  |  Newest
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