Great dodecicosacron explained
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.
Proportions
Each face has two angles of
\sqrt{5}) ≈ 30.48032456536\circ
and two angles of
\sqrt{5}) ≈ 81.816127508183\circ
. The diagonals of each antiparallelogram intersect at an angle of
\sqrt{5}) ≈ 67.70354792646\circ
. The
dihedral angle equals
})\approx 127.686\,523\,427\,48^. 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.
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