Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two...

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Paper Models of Antiprisms Gijs Korthals Altes www.korthalsaltes.com

Transcript of Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two...

Page 1: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Paper Models of AntiprismsGijs Korthals Altes

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Page 2: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Copyright © 2009 Gijs Korthals Altes All rights reserved.It's permitted to make copies for non-commercial purposes only.email: [email protected]

Page 3: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Triangular Antiprism (octahedron)Faces: 8 Edges: 12 Vertices: 6

Faces: 14 Edges: 24 Vertices: 12

Faces: 20 Edges: 36 Vertices: 18

Faces: 10 Edges: 16 Vertices: 8

Faces: 16 Edges: 28 Vertices: 14

Faces: 22 Edges: 40 Vertices: 20

Faces:12 Edges: 20 Vertices: 10

Faces: 18 Edges: 32 Vertices: 16

Square Antiprism

Hexagonal Antiprism

Enneagonal Antiprism

Pentagonal Antiprism

Heptagonal Antiprism Octagonal Antiprism

Decagonal Antiprism

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Page 4: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Antiprism:

All antiprisms in this document are right antiprisms.

*) source: http://en.wikipedia.org/wiki/Antiprism

In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles. Antiprisms are a subclass of the prismatoids.Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.In the case of a regular n-sided base, one usually considers the case where its copy is twisted by an angle 180°/n. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism. It has, apart from the base faces, 2n isosceles triangles as faces.*

A polyhedron (plural: polyhedra) is a three - dimensional figure made up of sides called faces, each face being a polygon

A general prism is a polyhedron possessing two congruent polygonal faces and with allremaining faces parallelograms.

A polygon is a two dimensional figure made up of line segments called edges, that are connected two at a time at their endpoints. In a polyhedron, several polygonal faces meet at a corner (vertex).

Page 5: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Triangular Anitprism(Octahedron)

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Page 6: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Square Antiprism

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Page 7: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Pentagonal Antiprism

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Page 8: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Hexagonal Antiprism

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Page 9: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Heptagonal Antiprism

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Page 10: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Octagonal Antiprism

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Page 11: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Enneagonal Antiprism(Part 1)

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Page 12: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Enneagonal Antiprism(Part 2)

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Page 13: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Enneagonal Antiprism(small)

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Page 14: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Decagonal Antiprism(Part 1)

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Page 15: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Decagonal Antiprism(Part 2)

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Page 16: Paper Models of Antiprisms - Paper Polyhedra · A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms. A polygon is

Decagonal Antiprism(small)

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