Polyhedra


At this gallery of polyhedra, all of which can be made from books in the Tarquin catalogue, not only can you view some amazing polyhedral models but you can also view and manipulate them in three dimensions - virtual reality! To do this you will need the appropriate 3D Plug-in for your browser. If you are using Netscape, you can download Netscape's Live3D VRML add-on. If you are using Microsoft Internet Explorer, you can download the Microsoft VRML add-on. For VRML 2.0, try SGI's CosmoPlayer. For other options, and other environments, check out the large collection at the SDSC VRML Browser Repository.

The Platonic Solids

 

Thefive Platonic solids consist of the tetrahedron, cube, octahedron, icosahedron and dodecahedron. All, apart from the cube, can be made from the Tarquin book Make Shapes Book 1. Click on the image to the right and you can view a 3D image of the five solids - provided your browser has the necessary "VRML plug-in".

The Small Stellated Dodecahedron

 

The images shown have been produced by George Hart, creator of the website, Virtual Polyhedra, where many more can

This small stellated dodecahedron comes from the Tarquin book Make Shapes Book 1. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Truncated Tetrahedron

 

This truncated tetrahedron comes from the Tarquin book Make Shapes Book 1. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Great Stellated Dodecahedron

 

This great stellated dodecahedron comes from the Tarquin book Make Shapes Book 2. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Compound of 5 Tetrahedra

 

This compound of five tetrahedra comes from the Tarquin book Make Shapes Book 2. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Rhombicosidodecahedron

 

This rhombicosidodecahedron comes from the Tarquin book Make Shapes Book 2. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Icosidodecahedron

 

This icosidodecahedron comes from the Tarquin book Make Shapes Book 2. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

be found.

The Great Dodecahedron

 

This great dodecahedron comes from the Tarquin book Make Shapes Book 2. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Great Icosahedron

 

This great icosahedron comes from the Tarquin book Make Shapes Book 3. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Compound of 5 Cubes

 

This compound of five cubes comes from the Tarquin book Compound Polyhedra. It has 360 faces. The edge of each cube is divided in the golden ratio by the edges of the other two cubes. It is the model used at the top of each main page on this web-site.Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Final Stellation of the Icosahedron

 

This stellation of the icosahedron comesfromthe Tarquin book Stellated Polyhedra. It has 60 spikes and 180 faces. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

The Compound of Cube and Octahedron

 

This compound of the cube and octahedron comes from the Tarquin book Mathematical Curiosities 3. Click on the image to the right and you can view a 3D image of the shape - provided your browser has the necessary "VRML plug-in".

©Tarquin 1999