Small dodecicosacron

In geometry, the small dodecicosacron (or small dipteral trisicosahedron) is the dual of the small dodecicosahedron (U50).

It is visually identical to the Small ditrigonal dodecacronic hexecontahedron.

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. "Small dodecicosacron".

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