public.beuth-hochschule.de/~meiko/pentatope.html

Java Applets Meiko Rachimow

- for the marked Applets you need Java3D,
- try to use all three MouseButtons (zoom, rotate or specials)

regular Polygon and Star-Polygon

A geometric closed figure with more than 3 sides is called a polygon.
If all vertices are coplanar we have a plane polygon. A plane polygon is "regular",
if it is equilateral and equiangular.
Regular polygones are labeled with {p}. The "p" counts the sides/angles.
For instance a square has the label {4}.
A "Star Polygon" is labeled with {p/q}(means every qth point is connected).

JAR with Sources
superposing all the Stars

for a given p exist a set of Starpolygons...




JAR with Sources
uniform Polyhedra - Z Sorting Algorithm (right Click turns a face off)

A polyhedron consist of a finite set of plane polygons("faces"),  joined at their sides("edges").
Regular polyhedra have regular faces and regular vertex figures.
A vertex figure is a polygon formed by connecting the midpoints of all adjacent sides of a vertex.
The {p, q} is the label("Schläfli Symbol") for that solids.
The p describes the polygons, and the q the count of that polygons at each vertex.

JAR with Sources
uniform Polyhedra - Z Buffer Algorithm

With the use of Kaleido  “Uniform Solution for Uniform Polyhedra” ) by Dr. Zvi Har'El




JAR with Sources
Pentatope with Shadow (Java3D)

The pentatope, also called pentachoron or 4-simplex is the simplest regular figure in four dimensions.



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Polychoron (Java3D)

regular figures in 4 Dimensions.
model-data by Paul Bourke



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a crater on Mars (Java3D)

Lights, Animation, View, Models...



Doc (pdf)
JAR with Sources
Collission Detection, physical Calculation (Java3D)

by Daniel Tretter and me




JAR with Sources