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Nexorades - Pentagon Scale by TaffGoch Nexorades - Pentagon Scale by TaffGoch
UPDATE: 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 four 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 5 "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)

(The frequency designations, above, follow current standards for geodesic sphere/dome labeling)

The original image depiction of the nexo-rotegrities, all with a radius of 1.000, can be found here: Rotegrities
:iconbear48:
bear48 Featured By Owner Aug 10, 2016  Professional
so cool 
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:icontaffgoch:
TaffGoch Featured By Owner Aug 10, 2016
Thanks, Bear,

This rotegrity project has been "on the back burner" for a while. I'm hoping that a "catalog" of rotegrities will be of use to artisans/craftsmen who want to tackle construction projects

If I never get around to constructing them myself, at least I can be an "enabler" of others
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August 2, 2016
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