Alexander's Polyhedra
My Collection of Virtual Reality Polyhedra
Introduction
- Welcome to my collection of numerous virtual reality (VRML) polyhedra for you to explore. I hope you enjoy playing with them as much as I enjoyed making them. There are several here which have never been illustrated in any previous publication.
I plan to have numerous pages on this site including all of the VRML projects that I work on. I will ONLY include hand-made models of my polyhedra, so that they will be easy to modify (by other polyhedronists).
If there is a polyhedron concept that you have learned about elsewhere, but have not seen any good VRML models for, please let me know. I am always looking for cool new projects to do. If you have any questions about the pages here, please feel free to e-mail me.
About Virtual Reality Models
- I will assume that you have already set your browser up for viewing virtual reality models. Find out: click on this picture and see if you can view a 3D version of this Rectangular Isohedron (based on the Rhombic Dodecahedron)..
If your web browser shows a message that it does not know what to do with files of mime type x-world/x-vrml then you will need to set up your web browser to view virtual reality files. I recommend Cosmo Player for anyone with a Microsoft Operating System.
Once your VRML browser is working and you see the figure, like the still image here, try this experiment. First study the object, spin it around, and see it how it looks from different angles. Then, travel to the inside of the figure to see what it looks like. More advanced users can feel free to download the VRML files to their computer, and open them up in notepad (or some other text editor), and modify the code. All the VRML files on my site were created manually, (not computer generated). This means that the code should be more readable, and modifiable by anyone bold enough to try. I hope you enjoy them.
Table of Contents
Platonic Polyhedra
- Information and Models
Rectanglicized Polyhedra
- Information and Models
345 Polyhedra (Polyhedra with a 345 vertex)
- Information and Models
Toroidal Polyhedra (Polyhedra of Genus > 0)
- Information and Models
Decomposable Polyhedra
- Information and Models
Parallel Expanded Polyhedra
- Information and Models
Prism Expanded Polyhedra
- Information and Models
Stretch Polyhedra
- Information and Models
Uniform Honeycombs in 3-Space
- Information and Models
Stewart Toroids (Ch 01 through 19 so far)
- Information and Models
After Stewart - Expansions on his Toroidal Ideas (Ch 07 only so far)
- Information and Models
JovoToys - if you want some cool toys for building polyhedra, check out my
- JovoToys Website
Notes: Please email comments, typos, errors, dead links, and any suggestions to Alex@Doskey.com. I continue to expand everything, so come back and check!
Thanks to George Hart for his very cool web site. Please visit his site, because he has TONS more cool polyhedra models for you to look at.
Thanks also to Jim McNeill for his very cool web site, and "Hedron" program. I have used it to generate numerous VRML files on my site. Please visit his site, because he has TONS more cool polyhedra models for you to look at.
Thanks also to Robert Webb for his very cool "Stella" program. I have used it to generate manyVRML files for my site. It is a great tool for rapid exploration of augmentations and excavations of polyhedra (among other things).
Math resources - directory of Math related websites.
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Link to this page as http://Polyhedra.Doskey.com/