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单词 Catalan Solid
释义

Catalan Solid

The Dual Polyhedra of the Archimedean Solids,given in the following table.

Archimedean SolidDual
Great RhombicuboctahedronDisdyakis Dodecahedron
RhombicosidodecahedronDeltoidal Hexecontahedron
Small RhombicuboctahedronDeltoidal Icositetrahedron
Great RhombicosidodecahedronDisdyakis Triacontahedron
Snub Dodecahedron (laevo)Pentagonal Hexecontahedron (dextro)
Snub Cube (laevo)Pentagonal Icositetrahedron (dextro)
Truncated IcosahedronPentakis Dodecahedron
CuboctahedronRhombic Dodecahedron
IcosidodecahedronRhombic Triacontahedron
Truncated OctahedronTetrakis Hexahedron
Truncated DodecahedronTriakis Icosahedron
Truncated CubeTriakis Octahedron
Truncated TetrahedronTriakis Tetrahedron

Here are the Archimedean Duals (Holden 1971, Pearce 1978) displayedin alphabetical order (left to right, then continuing to the next row).

   

Here are the Archimedean solids paired with the corresponding Catalan solids.

See also Archimedean Solid, Dual Polyhedron, Semiregular Polyhedron


References

Catalan, E. ``Mémoire sur la Théorie des Polyèdres.'' J. l'École Polytechnique (Paris) 41, 1-71, 1865.

Holden, A. Shapes, Space, and Symmetry. New York: Dover, 1991.


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更新时间:2024/11/15 3:21:02