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Rotegrities by TaffGoch Rotegrities by TaffGoch
"Rotegrities" are also 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} - Icosahedron (The first rotegrity, introduced in 1970, by Richard Boyt.)
2v{1,1} - Class-II geodesic tessellation
2v{0,2} - Class-I geodesic tessellation
3v{1,2} - Class-III geodesic tessellation
3v{0,3} - Class-I geodesic tessellation

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

Each of the curved bands is subdivided into three equal segments, at intersection centers. The measurements for the curved bands are depicted in five individually-posted image files:

Rotegrity 1v{0,1}
Rotegrity 2v{1,1}
Rotegrity 2v{0,2}
Rotegrity 3v{1,2}
Rotegrity 3v{0,3}

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To see the rotegrities, with increasing radii, rather than unit (1.000) radius, as depicted here, please see:
Nexorades - Pentagon Scale
:iconbear48:
bear48 Featured By Owner Aug 10, 2016  Professional
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August 1, 2016
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