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If you are being introduced to the topic of Polyhedron Models for the first time, many of the terms used in the initial stages of the project may seem slightly abstract. There is a Glossary of Terms provided in a link at the end of this page to help overcome this difficulty.

Polyhedra (the plural of polyhedron) are three-dimensional figures made up of sides called faces. This brief definition already focuses the mind into thinking in three-dimensional terms. What must be taken into consideration when studying this topic an indeed when going through this website is that mathematics and its understanding plays a vital role in the comprehension of these polyhedra. Often mathematics is conceived as being difficult and abstract. I beg to differ. When mathematics is studied in the context of polyhedron models the words of Bertrand Russell come to mind,

‘mathematics possesses not only truth but supreme beauty, a beauty cold and asture, like that of sculpture, sublimely pure and capable of stern perfection, such as only the greatest art can show’.

This website is intended to offer an explanation of the platonic and archimedean (regular and semi-regular) solids, at once simple and practical and not too speculative.

Background music is provided on all the main links so if you care to listen turn on your speakers or attach a set of headphones.

 

 

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When navigating this website it is recommended that the visitor move through the main sections of the site in the order outlined below.  For the visitor with previous experience of polyhedra it may not be necessary to call upon section one.  Section one, 'What is a Polyhedron?' is devoted to preparing you the user with a body of knowledge, necessary to pursue an understanding of sections two to four. 

                                                                                         

                           

Main Links

1) What is a Polyhedron?
2) Platonic Solids
3) Archimedean Solids
4) Polyhedra and Spherical Geometry
5) About Myself
6) Glossary of Terms

At the bottom of each page there are the buttons Back, Up and Next along with an Icon to bring you back here to the homepage.  The Back button will return you to the previous page that you were on and the Next button will advance you to the next logical step of that particular section.  For example, with reference to the table of contents below and taking the Tetrahedron within the section of Platonic Solids, using the Next button on this page will advance one to the Octahedron page.  The Up button will bring the navigator up a level.  For example when again on the Tetrahedron page, to click on the Up button, one will go back up to the level of the first five main links, Platonic Solids, Archimedean Solids etc. Also the right hand side of each page contains the links as outlined in the table of contents below.

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Table of Contents:      

What is a Polyhedron? Platonic-Solids Archimedean- Solids Polyhedra & Spherical Geometry
   Polygons Tetrahedron Truncated Tetrahedron Prerequisite Knowledge
        Regular Polygons Octahedron   Truncated Octahedron Spherical Projection
        Irregular Polygons Hexahedron Truncated Hexahedron  
  Icosahedron Truncated Icosahedron  
  Dodecahedron   Truncated Dodecahedron  
  Relationships Quasi-regular Polyhedra  
    Rhombi Archimedeans  
    Truncated Quasi-regulars  
    Snub Polyhedra  

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Other Interesting Pages

http://www.geom.umn.edu/docs/references/CRC-formulas/node56.html

http://www.li.net/~george/virtual-polhhedra/platonic-info.html

http://forum.swarthmore.edu/sum95/math_and/poly/reg_polyhedra.html

http://www.li.net/~george/virtual-polyhedra/paper-models.html