The distinction between the Archimedian solids and the Prisms and Antiprisms is mostly historical. However, there are some broad differences; the Archimedian solids are ball-like, whereas the Prisms and Antiprisms are more disk-like. More striking is the fact that there is an infinite number of Prisms and Antiprisms!
Triangular Prism (4,4,3) | Pentagonal Prism (4,4,5) | Hexagonal Prism (4,4,6) |
As with the Archimedian solids, since the vertices are all identical, listing the polygons that surround each vertice fully describes a prism or antiprism. For example, the Hexagonal Prism shown above has 2 squares and one hexagon surrounding each vertex, so it identified by the numbers (4,4,6).
Square Antiprism (3,3,3,4) | Pentagonal Antiprism (3,3,3,5) | Hexagonal Antiprism (3,3,3,6) |
It is not uncommon that a polyhedron can be classified in more than one way. Perhaps you noticed that in the above examples that the Square Prism and the Triangular Antiprism were conspicuously missing. You have already seen these solids in another article; can you give their alternate names?
Square prism (4,4,4) | Triangular Antiprism (3,3,3,3) |
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