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Soccer ball honeycomb
- I am duly awed. —Tamfang (talk) 02:29, 18 May 2014 (UTC)
Good day polytoper
Are you aware of the "magical" values derived here? (http://commons.wikimedia.org/wiki/File:600-cell_petrie_polygon.svg?uselang=fr?uselang=fr)
I am attempting to uncover how the origin of the "magical" values midst aforlinked orthographic hypercube, petrie polygon graph.
If you control find (ctrl+f) "// Magics! Hard to find projection directions" You shall observe the values to which I am referring.
I see that you are quite familiar with measure polytopes (5d orthographically produced hypercubes).
How do you suppose these magic values are attained?
I would like to include this in an artificial intelligence I am developing.
- I wish Rocchini would publish more about his techniques. I cannot say what the "magic" vectors do, let alone how he found them. Here's what I might do:
- Generate a large number of candidate vectors and evaluate them for the quality sought (whatever that is!).
- Examine a few of the best candidates and the constraints that affect them. Look for an analytic optimum.
- —Tamfang (talk) 09:45, 9 July 2014 (UTC)
Extended petrie polygon orthogonal hypercube qualms :(
Thank you kindly for your prompt response.
I had long envisioned that the aforsaid "magic" values, indeed manifest as some form of vector multiplier, that directly relates with the petrie polygon's dimension cardinality.
Furthermore, I suspect it is linked with Coxeter Dynkin approximations per petrie polygon, measure polytope.
In exemplification, I have noticed that per orthogonalized hypercube of n dimensions, each PX and PY array, contains a periodic sequence of exactly n directional projection vector multipliers.
As to how such multipliers are achieved, I am uncertain.
I thank you. Naturally, I shall indeed try to adroitly collapse this schematic into malleable resultings via acute analysis.
On his page he mentions that he utilizes Coxeter-Dynkin diagram polytope definition, in tandem with his Kaleidoscope algorithm, wherein he stipulates the polytope's vertex collection exist. — Preceding unsigned comment added by JordanMicahBennett (talk • contribs) 10:51, 9 July 2014 (UTC)
A Barnstar for You!
|The Surreal Barnstar|
|For providing a unique personal voice in answers to many Reference Desk queries. RomanSpa (talk) 09:18, 10 July 2014 (UTC)|
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