Vladimir Bulatov abstract creations

Polyhedra Stellations Applet

You may check stellation page in order to find out information on polyhedra stellation.

This applet calculates stellations of majority of uniform polyhedra and their duals. In order to run this applet your browser should support java 1.1.
If you are running recent version of Internet Explorer (v.5.0) or Netscape (v.4.7) or you think your browser supports java 1.1 or you just don't know what all this means, try to click "Start applet":

Be patient, the first start of the applet may take some time.

If the applet didn't start successfully, try to click "Start plugin" below. This will start java plugin, if you have it installed. If your browser still can't start the applet, you may download java plugin from SUN web site and try again.

If your browser has managed to start the applet, here are a few words about how to use it.

Help on using Stellation Applet

Applet has several frames, each with it's own functionality.

Control frame (top left). You can select the polyhedron you want to stellate and also the desired symmetry group of stellation from Symmetry drop down list. (Symmetry group of stellation is not required to be identical to symmetry group of polyhedron). To calculate the stellation you need to click "Start". The result begin to show in the Output frame. After stellation is calculated, you can select among different faces in Face dropdown list. Selected stellation may be saved as povray, DXF or as VRML file by selecting menu File|Export. This will write export into java console, which you will need to copy and paste in another application to save to a file. If you download the program and run it locally, export will be saved to files.

Cells frame (top center) displays the stellation cells for every layer. Each rectangle with bold number represents complete stellation cell. Depending on selected symmetry of stellation complete stellation, complete cell may be a union of several subcells. Subcells are numbered with smaller font. Cells and subcells having differtent symmetry are highlighted by different colors.

You can edit the textual notation of stellation in the edit field in the bottom of the frame and press the "Set" button to make changes take effect. This field also may be used to copy stellation notation onto clipboard (Ctrl+C). This is usefull to save and restore particular stellation.

Diagram frame (bottom right). This frame shows stellation diagram and facets of currently selected cells. Top facets have yellow color, bottom facets have red color. Keep in mind, that most facets are top for cells below and bottom for cells above. Right mouse click displays a popup menu with selection of possible operations.

3D view frame (top right). This frame show 3D image of current stellation. You can rotate the model by pressing mouse button and dragging the mouse.

Output frame (bottom left). This frame shows some information about the stellation: number of facets per face, number of elementary cells and symmetrical cells for every stellation layer.

Known bugs. There are some incorrect cells in the few very top layers of stellation of disdyakistriacontahedron and snub cube. We hope to fix these problems in the future.

Advanced use. If you wish to run the program from your local hard drive and want to save to files, you can download stellation.zip. Unzip it somewhere and double click stellation.jar file in windows explorer.
If double click doesn't work on your system, you will need to download free Java Runtime Enviroment (about 5MB of download) from http://www.javasoft.com/j2se/. For big models, you may run stellation.bat instead to allow the program to use more memory.

Those, who is really curious and want to implement new functionality, can download source code for the applet.

Have fun with stellations!

© Copyright 2000, 2001 V.Bulatov. Commercial use of these materials without prior written permission is prohibited.

e-mail: vladimir@bulatov.org