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Index Entry
Spherical Unity:
“The largest number of identical triangles in a sphere that unity will accommodate is 120: 60 positive and 60 negative. We can subdivide the surface of a sphere into 120 equilateral triangles by dividing the base of each of the 20 original triangles which made up the icosahedron, into six triangles. Being spherical, they are positive and negative, consisting of arcs which cannot hinge back. One is inside, concave and the other is outside, convex. So 60 positive and 60 negative triangles are the largest common denominator of unity.”
