|Site Map||Polytopes||Dynkin Diagrams||Vertex Figures, etc.||Incidence Matrices||Index|
Convex polyhedra using only equilateral triangles for faces are called deltahedra. (Those are known such because of the shape of that upper-case Greek letter.) This kind of restriction could be considered a bit more generally, as well as for higher dimensions. The most general set-up there would be that of isohedral polytopes, being defined as having only a single shape for facets.
The list given here-below restricts to regular facets additionally.
Note: this setup does not require the polytopes to be isogonal in addition, i.e. having just a single type of vertices (vertex surroundings / vertex figures). Polytopes which are both, isogonal and isohedral, commonly are known under the attribute noble.
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