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4326

yet another approach to D_5/ SO(10) as an implicit surface Back a few years I did research into Lie Cartan matrix decompositions of the sort where d is a matrix of vectors: d.Transpose[d]=cartan This method doesn’t

Roger Bagula
12:10 PM
#4326
 

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4325

Quantum Algorithm for the Mobius Function http://meeting.aps.org/Meeting/MAR15/Session/A18.4 Author: Peter Love (Haverford College) The Moebius function and Moebius inversion have a number of

Mats Granvik
6:31 AM
#4325
 

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4324

a visualization of the 3 fold C_3v type group as an 3d IFS I had to add two group elements to match the symmetry generated points: I normalized the points to a sphere surface. Putting in a transparent sphere and

Roger Bagula
7:03 PM
#4324
 

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4323

an impossible or at least unknown point group While reading my Chemistry group theory book, I realized the 3x3 matrix group for C_3v that was given could be made into three main axes. The result is a

Roger Bagula
3:38 PM
#4323
 

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4322

Re: Chebyshev cubic triaxial gyroid The n=1 version of the gyroid turns out pretty

Roger Bagula
Feb 28
#4322
 

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4321

Re: Chebyshev cubic triaxial gyroid [2 Attachments] Triaxial version of the Chebyshev-Wilson function: Slow but runs: kind of looks like Scherk minimal surfaces... (* Mathematica*) Flatten[Table[ ContourPlot3D[

Roger Bagula
Feb 28
#4321
 

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4320

Chebyshev cubic triaxial gyroid This idea was inspired by Dieter Steemann's new node type implicit surfaces. I had done some work on Chebyshev implicit's before: (* Mathematica*)

Roger Bagula
Feb 28
#4320
 

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4319

Space group - Wikipedia, the free encyclopedia http://en.wikipedia.org/wiki/Space_group

Roger Bagula
Feb 28
#4319
 

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4318

Re: Point group Character Table -- from Wolfram MathWorld In crystallography the Federov Space groups are used, not point groups.

Roger Bagula
Feb 28
#4318
 

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4317

hexaxial hexatorus Here the see through version with a picture of the tiled version: You can see I opened it up to a torus radius of 3 and still no hole. (*Mathematica*) Clear[x,

Roger Bagula
Feb 27
#4317
 

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4316

Fwd: Your design 'tetraxialtetratorusborders' was repaired successfu I'm working on a 6 by 6 version right now.

Roger Bagula
Feb 27
#4316
 

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4315

regular torus angularily tiled Here is an "ordinary" torus with this sort of angular tiling: it has two sorts of tiles: inside and outside; if you cut it open and spread it out on a plane

Roger Bagula
Feb 27
#4315
 

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4314

Re: implicit surface for the C_3v matrix point group I made a mistake in the SYM_3 program in summing: it appear they come out very close to the same surface: I added the D_3 to be certain... (* Mathematica*)

Roger Bagula
Feb 27
#4314
 

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4313

Re: implicit surface for the C_3v matrix point group Isomorphic groups: http://mathworld.wolfram.com/IsomorphicGroups.html Two group with identical character tables but different matrix groups have different

Roger Bagula
Feb 27
#4313
 

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4312

implicit surface for the C_3v matrix point group To contrast the higher dimensional groups, the surface of a known point group geometry is used in an implicit curve: this method using 2x2 matrices is like the

Roger Bagula
Feb 27
#4312
 
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