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# Nexorades pentagon scale - MOREby TaffGoch

As they say on TV -- "but wait, there's more...."

I've added the (only) three possible frequency-4 rotegrities to the depiction

This image depicts the variation in the size of the "nexo-rotegrities," when the band length from the smallest rotegrity is used to size the pentagon bands for the other seven nexo-rotegrities • (Essentially, the pentagons are now all the same size)
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"Rotegrities" are also commonly known, today, as "nexorades" • This set depicts the first 8 "nexo-rotegrity" spheres, in order of increasing triangle density (i.e.; frequency)

1v{0,1} • Radius = 1.000 (The first rotegrity, introduced by Richard Boyt, 1970)
2v{1,1} • Radius = 1.803 (Class-II geodesic tessellation)
2v{0,2} • Radius = 2.141 (Class-I geodesic tessellation)
3v{1,2} • Radius = 2.965 (Class-III geodesic tessellation)
3v{0,3} • Radius = 3.411 (Class-I geodesic tessellation)

4v{2,2} • Radius = 4.079 (Class-II geodesic tessellation)
4v{1.3} • Radius = 4.279 (Class-III geodesic tessellation)
4v{0,4} • Radius = 4.843 (Class-I geodesic tessellation)

(The frequency designations, above, follow current standards for geodesic sphere/dome labeling)
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For the original depictions of frequencies 1-through-3, see:  Rotegrities  and  Nexorades • Pentagon Scale

Also, see the related;  Nexorade Pentagon Scale • ARCS
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Modeled in SketchUp • 3D model available for download: 3D Warehouse • Rotegrities • Pentagon Scale

Featured By Owner Edited Sep 16, 2017
I would like to know the meaning of 4 and 1 and 3 in 4 v {1, 3}.
Featured By Owner Edited Sep 16, 2017
The "v" designation is the "frequency." The (m,n) nomenclature describes how the primary face triangle (in this case, of an icosahedron) is subdivided, into multiple, smaller triangles. Note that, in all cases, m+n = frequency.

Geodesic Polyhedron

... see the three tables that list the possible (m,n) combinations.
Featured By Owner Sep 17, 2017
thank you i understand ^^
Featured By Owner Sep 23, 2016  Professional
some I will build some of these
Featured By Owner Sep 23, 2016
That's what I keep saying, myself....
Featured By Owner Sep 23, 2016  Professional
cool

Submitted on
August 17, 2016
Image Size
421 KB
Resolution
1920×1200