Catalan Solid
The Dual Polyhedra of the Archimedean Solids,given in the following table.
| Archimedean Solid | Dual |
| Great Rhombicuboctahedron | Disdyakis Dodecahedron |
| Rhombicosidodecahedron | Deltoidal Hexecontahedron |
| Small Rhombicuboctahedron | Deltoidal Icositetrahedron |
| Great Rhombicosidodecahedron | Disdyakis Triacontahedron |
| Snub Dodecahedron (laevo) | Pentagonal Hexecontahedron (dextro) |
| Snub Cube (laevo) | Pentagonal Icositetrahedron (dextro) |
| Truncated Icosahedron | Pentakis Dodecahedron |
| Cuboctahedron | Rhombic Dodecahedron |
| Icosidodecahedron | Rhombic Triacontahedron |
| Truncated Octahedron | Tetrakis Hexahedron |
| Truncated Dodecahedron | Triakis Icosahedron |
| Truncated Cube | Triakis Octahedron |
| Truncated Tetrahedron | Triakis 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.
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.
- Hecke Operator
- Hecke Ring
- Hectogon
- Hedgehog
- Heegaard Diagram
- Heegaard Splitting
- Heegner Number
- Heesch Number
- Heesch's Problem
- Height
- Heilbronn Triangle Problem
- Heine-Borel Theorem
- Heine Hypergeometric Series
- Heisenberg Group
- Heisenberg Space
- Held Group
- Helen of Geometers
- Helicoid
- Helix
- Helly Number
- Helly's Theorem
- Helmholtz Differential Equation
- Helmholtz Differential Equation--Bipolar Coordinates
- Helmholtz Differential Equation--Cartesian Coordinates
- Helmholtz Differential Equation--Circular Cylindrical Coordinates