Irregular Polygons

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Irregular Polygons have sides of differing lengths and angles of differing measure.  Unless all the sides of the polygon are of the same length and all the angles are of the same measure the polygon is said to be irregular.  The names hexagon, nonagon, pentagon and all the others do not just apply to the regular polygons but rather to any two dimensional closed figure with the number of sides as described by its name.  For example the two figures shown below are both pentagons, A is regular and B is irregular.

Regular Pentagon:                             Irregular Pentagon:

regular pentagon       irregular pentagon

 

Regular Hexagon:                        Irregular Hexagon:

  regular hexagon         MAXOL.

         

 

An irregular polygon can be any two dimensional enclosed space as is shown below.

 

irregular polygons

 

 

 

 

 

 

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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