What is a Polyhedron

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Polygons

 

What is a Polyhedron?

Put simply a polyhedron is a three - dimensional figure made up of sides called faces, each face being a polygon. A polygon, in turn, 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). When all the edges of the polygon are of equal length the polygon is called regular. An equilateral triangle and a square are examples made up of three and four edges respectively. Polygons whose sides and angles are not of equal measure, are said to be irregular.

 

Regular Polyhedra

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Irregular Polyhedra

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Table of Contents        

What is a Polyhedron?

Polygons

     Regular

     Irregular

 

Platonic-Solids

Tetrahedron

Octahedron         Hexahedron

Icosahedron         Dodecahedron

Relationships

       

Archimedean- Solids

Truncated Tetrahedron

Truncated Octahedron

Truncated Hexahedron

Truncated Icosahedron

Truncated Dodecahedron

Quasi-regular Polyhedra

Rhombi Archimedeans

Truncated Quasi-regulars

Snub Polyhedra

 

Polyhedra & Spherical Geometry

Prerequisite Knowledge

Spherical Projection of the Cube

 

Glossary of Terms

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