| 1. | It is also a triangular antiprism in any of four orientations.
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| 2. | The octahedron is a regular polyhedron, and a triangular antiprism.
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| 3. | Its dual is a degenerate form of antiprism, also a tetrahedron.
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| 4. | This gives an antiprism when q = r = 2.
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| 5. | It has the same vertex arrangement as the pentagonal antiprism.
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| 6. | It constructs two uniform tilings, the apeirogonal prism and apeirogonal antiprism.
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| 7. | Notable exceptions include the grand antiprism in four dimensions.
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| 8. | Crossed = antiprism have the triangles crossing the origin.
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| 9. | The pentagonal antiprism occurs as a constituent element in some higher-dimensional polytopes.
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| 10. | It can be decomposed into two pentagonal pyramids and a pentagonal antiprism in the middle.
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