The icosidodecahedron is one of the thirteen Archimedean solids.
The icosidodecahedron has 30 vertices, 32 faces and 60 edges. It is generated
by truncating the vertices of a icosahedron or of a dodecahedron at 1/2 edge-length.
The icosidodecahedron is a semiregular polyhedron. Here the distance from vertex
to center point is scaled to 1; the edge-length is
The coordinates of the icosidodecahedron where computed with polymake.
First a dodecahedron was computed, which had the distance
from pentagon mid-points to center; this dodecahedron was cut by the inequalities
of planes containing the point
with normals parallel to the
axes and those with normals parallel to diagonals in space of an axis-parallel cube.
The intersection points of this planes with the edges of the dodecahedron are the
vertices of the icosidodecahedron.
Model produced with: JavaView 2.00.005
|Keywords||icosidodecahedron; Archimedean solid; semiregular polyhedron|
Submitted: Fri Sep 1 16:24:12 MET 2000.
Accepted: Thu Oct 25 14:19:08 MDT 2001.
Technische Universität Berlin
Fachbereich Mathematik, MA 8-5
Straße des 17. Juni 136
D-10623 Berlin, Germany