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Nexorades pentagon scale - MORE by TaffGoch Nexorades pentagon scale - MORE by 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
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:iconhaeylee:
haeylee Featured By Owner Edited Sep 16, 2017  New Deviant
I would like to know the meaning of 4 and 1 and 3 in 4 v {1, 3}.
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:icontaffgoch:
TaffGoch 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.

Under "Examples", at the bottom of the Wikipedia page ...

     Geodesic Polyhedron

... see the three tables that list the possible (m,n) combinations.
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:iconhaeylee:
haeylee Featured By Owner Sep 17, 2017  New Deviant
thank you i understand ^^
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:iconbear48:
bear48 Featured By Owner Sep 23, 2016  Professional
some I will build some of these 
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:icontaffgoch:
TaffGoch Featured By Owner Sep 23, 2016
That's what I keep saying, myself....
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:iconbear48:
bear48 Featured By Owner Sep 23, 2016  Professional
:rofl: cool 
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August 17, 2016
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