Great dodecicosacron

In geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the great dodecicosahedron (U63).

It has 60 intersecting bow-tie-shaped faces.

Each face has two angles of

arccos ⁡ (

The diagonals of each antiparallelogram intersect at an angle of

The dihedral angle equals

The ratio between the lengths of the long edges and the short ones equals

, which is the golden ratio.

Part of each face lies inside the solid, hence is invisible in solid models.

Weisstein, Eric W. "Great dodecicosacron".

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