|
Archimedean solid - Wikipedia, the free encyclopedia
|
||
|
Archimedean property - Wikipedia, the free encyclopedia
In abstract algebra, the Archimedean property , named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some groups, fields, and other algebraic structures. Roughly...
en.wikipedia.org/wiki/Archimedean_property |
||
|
Archimedean point - Wikipedia, the free encyclopedia
An Archimedean point is a hypothetical vantage point from which an observer can objectively perceive the subject of inquiry, with a view of totality. The ideal of "removing oneself" from the object ...
en.wikipedia.org/wiki/Archimedean_point |
||
|
Paper Models of Polyhedra: Platonic Solids Archimedean Solids Kepler-Poinsot Solids Uniform Solids Compounds Pyramids Other Polyhedra Prims and Antiprisms Kaleidocycles Other Paper Models Polyhedra in Color Selection of Polyhedra Visual Index (new)
|
||
|
Archimedean solids are related to the five Platonic Solids. Remember that the Platonic solids are the only regular, convex solids. What happens if we loosen the constraint of regularity? ... Archimedean solids obtained by truncating Platonic solids...
|
||
|
A key characteristic of the Archimedean solids is that each face is a regular polygon, and around every vertex, the same polygons appear in the same sequence, e.g., hexagon-hexagon-triangle in the truncated tetrahedron, shown above.
|
||
|
In the Archimedean duals, every face is identical but there are two or more different types of vertices. This is because in the original Archimedean solids every vertex is identical but there are two or more different types of faces, and when taking the dual, faces transform into vertices and vice versa.
|
||
|
Photos of Archimedean solids and Catalan solids, the convex semi-regular polyhedra, made from 2D nets printed by Stella ... The Archimedean solids are the 13 convex semi-regular polyhedra, excluding the infinite set of prisms and antiprisms. Each one has regular faces, but not all the same, and all the vertices are of the...
|
||
|
The 13 Archimedean solids are the convex polyhedra that have a similar arrangement of nonintersecting regular convex polygons of two or more different types ...
|