Lukol Directory: Science: Math: Geometry: Polytopes

Sliceform Models by John Sharp Three-dimensional objects constructed by slotting together a series of planar cross sections made from card. Downloadable templates in PDF, PS and Word formats. http://www.mathsyear2000.co.uk/explorer/sl... Pick's Theorem Describes a theorem for finding an area of simple lattice polygons. Includes proof and Java applet simulation. http://www.cut-the-knot.org/ctk/Pick.shtml Regular Polytopes Derivation of volume equations for regular polygons, polyhedra, and polytopes, with images. http://www.math.rutgers.edu/~erowland/poly... The Mathematical Atlas - Polytopes and Polyhedra Collection of discussions regarding volume, vertices, dissection, g-holed tori, and other subjects. http://www.math.niu.edu/~rusin/known-math/... The Charged Particles Model Polytopes and optimal packing of p points in n dimensional spheres. Contains a java applet based on a model which allows for generation of multidimensional regular and semi-regular polytopes. http://presh.com/hovinga The Geometry Junkyard Comprehensive list of links to sites on geometric properties of the shapes. http://www.ics.uci.edu/~eppstein/junkyard/... Polyhedra, Platonic Solids, Polytopes Definitions, pictures, templates, and coordinates of the regular 3d and 4d polytopes. Also includes waterman polyhedra, polar and star spheres, and the time star. http://astronomy.swin.edu.au/~pbourke/poly... Numericana - Polyhedra & Polytopes Enumeration, cartesian coordinates of vertices, naming, and counting the shapes. http://home.att.net/~numericana/answer/pol... Zome Edu Educational toys used to teach geometry and model building to create squares, spheres, stars and other regular shapes with sticks and connecting pieces. Products include kits and lesson plans. http://www.zometool.com/educators.html Guy's Polyhedra Pages Vertex figures, filling, faceting diagrams, stellation, defining polytopes through generators, trimethoric and trisynaptic polyhedra, space-filling polyhedra, lost stellations of the icosahedron, and links. http://www.queenhill.demon.co.uk/polyhedra... Sub Topics: Origami Polyhedra Software Higher Dimensional Polyhedra Related Topics: Science: Math: Geometry: Sculpture and Art Science: Math: Recreations: Tessellations

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2006