Live Statistics 1 city & 1 country online 233,264 visits since July 12, 2010
The mathematical objects that live on the sphere in four dimensional space -- the hypersphere -- are both beautiful and interesting.
In geometry , a polyhedron (plural polyhedra or polyhedrons ) is a geometric solid in three dimensions with flat faces and straight edges .
In geometry , a uniform polychoron (plural: uniform polychora ) is a polychoron (4- polytope ) which is vertex-transitive and whose cells are uniform polyhedra .
Install This program requires an OpenGL accelerated graphics card, and will require you to install the .Net framework.
Here are some quick feature notes.
[ Graphics Archive | Up | Comments ] Special Topics : Hyperbolic Geometry The Order-7 Borromean Ring Orbifold by Charlie Gunn
[ Graphics Archive | Up | Comments ]
[ Graphics Archive | Up | Comments ] Special Topics : Hyperbolic Geometry Escher Fish by Silvio Levy
Hyperbolic Tesselations Applet The following keys and mouse actions do interesting things: (NOTE: you may have to click on the applet once before it will accept keyboard input. On some browsers (mozilla) you may have to leave and re-enter the browser window.)
The Moray 3d modeller is a program which allows POV-Ray scenes to be created using a graphical interface. Some time ago POV-Ray obtained the rights to Moray .
The Poincaré hyperbolic disk is a two-dimensional space having hyperbolic geometry defined as the disk , with hyperbolic metric The Poincaré disk is a model for hyperbolic geometry in which a line is represented as an arc of a circle whose ends are perpendicular to the disk 's boundary (and diameters are also permitted).
This 3D vortex image is hidden in the above picture.
Other geometric primitives can be used instead of spheres. This PovRay scene file waterman2.pov will create such forms, indeed it can be easily modified to include any PovRay object [Update: a modified/extended version created by Steve Waterman (March 2006) polyhedra.zip ]. The original version supports the platonic solids, you will need the following files: cube.pov , octahedron.pov , dodecahedron.pov , icosahedron.pov , and tetrahedron.pov .