Greater Self-Dual Solids

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Self-Dual 76-hedron (canonical)
Vertices:  76  (4[3] + {12 * 2}[4] + {12 * 2}[4] + {12 * 2}[4])
Faces:76  (4 equilateral triangles + {12 * 2} isosceles trapezoids
    + {12 * 2} kites + {12 * 2} irregular tetragons)
Edges:150  (9 different lengths)
Symmetry:  Full Tetrahedral  (Td)
(values below based on edge-scribed radius = 1)
Edge 1 (12):  sqrt(root[6th-order polynomial])    ≈0.30184169550744121740
Edge 2 (12):  sqrt(root[6th-order polynomial])    ≈0.34924599423720556469
Edge 3 (24):  sqrt(root[6th-order polynomial])    ≈0.39595205607750888419
Edge 4 (24):  sqrt(root[6th-order polynomial])    ≈0.41106719763790407066
Edge 5 (24):  sqrt(root[6th-order polynomial])    ≈0.431889515207074817854
Edge 6 (12):  sqrt(root[6th-order polynomial])    ≈0.43389122135926314706
Edge 7 (12):  sqrt(root[6th-order polynomial])    ≈0.44265811791781220370
Edge 8 (24):  sqrt(root[6th-order polynomial])    ≈0.454713538928433894253
Edge 9 (6):  sqrt(root[6th-order polynomial])    ≈0.46676895993905558481
Max Vertex Radius:  sqrt(root[6th-order polynomial])    ≈1.0268730766217638639
Edge-scribed Radius:  1
Volume:root[6th-order polynomial]    ≈4.09803346428336429347