Polyhedra - Models, etc.

   

MathMechs Extensor(TM) Starter Set
$19.95
An extensor is an extending beam based on a scissor-like mechanism. Extensors can be connected together at nodes to build larger expanding structures. Extensors with central "Y" shaped parts have three arms in each stage, while those with "X" shaped parts have four. These build structures with different angles and geometries. The starter set contains 40 plastic parts, two springs, and a color instruction booklet. Ages 13 and up.

   

Dodecaplex Puzzle
$24.95
Twelve regular 2D pentagons join together nicely in 3D to make a dodecahedron. 120 of those dodecahedra unite in 4D space to form the glorious hyper-dodecahedron! Dodecaplex is a physical puzzle made from sections of a 3D rendering of the hyper-dodecahedron - projected down into 3D, and split apart into pieces. The challenge is to put it back together, and there are three different solutions 5 or 6 of the pieces can be combined into. Includes color instructions and a storage pouch.

   

The Irrational Puzzle
$19.95
This set contains four cubes dissected four different ways to form a variety of geometric solids. The instructions contain seven brain teasers in which different three-dimensional geometric shapes are formed with the pieces. This puzzle makes use of the fact that the face diagonal and space diagonal of a unit cube are the squares roots of 2 and 3, respectively, to introduce students to the concept of irrational numbers. Three reproducible worksheets cover the history of the square root of 2, the discovery of irrational numbers, and the Pythagorean Theorem. Contains 11 geometric solids made from soft, durable, and nontoxic foam. Cubes measure 2.5" on a side. Grades 3-12.
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Cubed Cubes
$14.95
Cubed Cubes is a brain teaser puzzle that teaches students about rectangular solids and the cubic numbers. The foam pieces form red, blue, and green cubes, each of a different size. In addition, all nine pieces together form a larger cube. The puzzle is based on the mathematical curiosity that the cubes of 3, 4 and 5 sum to the cube of 6. The instructions include several additional three-dimensional puzzles to solve using the same pieces. Also included are classroom worksheets on the volume of rectangular solids and cubic numbers. Grades 2-12.

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Aluminum octahedron
$6.00
Solid aluminum octahedron, approximately 3/4" (19 mm) face-to-face. Made in South Korea.

   

Aluminum dodecahedron
$6.00
Solid aluminum dodecahedron, approximately 1" (25 mm) in diameter. Made in South Korea.

   

Quartz Crystal Dodecahedron
$29.95
Beautiful natural quartz dodecahedron (12 faces, each a pentagon), hand cut and polished. Interior crystalline features are visible in most of these. Since they are natural and hand made, the appearance varies somewhat from crystal to crystal. Approximately 1-3/8" (35 mm) in diameter. Made in Brazil.
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Quartz Crystal Icosahedron lg.
$39.95
Beautiful natural quartz dodecahedron (20 faces, each an equilateral triangle), hand cut and polished. Interior crystalline features are visible in most of these. Since they are natural and hand made, the appearance varies somewhat from crystal to crystal. Approximately 1-5/8" (42 mm) in diameter. Made in Brazil.
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Obsidian Platonic Solids
$79.95
Cut and polished black obsidian Platonic solids. The cube measures 4 cm face to face. Note the edges of the tetrahedron and four of the edges of the octahedron are slightly beveled. In addition, there may be very small chips at some of the edges and corners, as well as small inaccuracies in the shapes. The reflective black surfaces are quite striking, though.

   

Quartz Crystal Platonic Solids
$12.95
Beautiful natural amethyst (purple-tinged quartz) Platonic Solids set, hand cut and polished. The cube measures approximately 1/2" (13 mm) on a side. Note that the octahedra in these sets are somewhat shorter along one axis than the other two. Includes velvet bag. Made in Brazil.
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Quartz Dodecahedron Pendant
$5.00
Cut and polished rose quartz dodecahedron pendant, with silver attachment. Measures approximately 14 mm face to face.

   

Natural Pyrite Dodecahedron
$44.95
Large (approximately 20 mm face to face) natural (not cut) pyrite dodecahedron. Pyrite more commonly forms cubic crystals. Dodecahedra this large are relatively rare. Even an ideal pyritohedron is not a regular dodecahedron, but these natural ones have faces that deviate quite a bit from regular pentagons, as well as some small bits of other orientations.

   

Pyrite Cube
$6.95
Beautiful natural pyrite crystal cube, approximately 0.8" on a side. Since these are natural crystals, the appearance and dimensions vary somewhat from crystal to crystal. Mined in Spain.
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Black Obsidian Pyramid
$19.95
Cut and polished black obsidian square-based pyramid. Base measures 7 cm (2-3/4") on a side.

   
Geoballs
$24.95
Geoballs is a cut and scored kit that allows the construction of 18 different polyhedra from card stock. No glue or tape is needed; a locking tab-and-slot system is used. These models bring together two ancient geometric disciplines: the study of Platonic and Archimedean solids, and traditional Islamic patterns.
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Captured Worlds
$12.95
Captured Worlds is a set of five pop-out, glue, and fold-up polyhedra. The five used in Captured Worlds are known as the Platonic Solids. They are decorated with fanciful scenes rendered in six-point perspective by internationally-known artist Dick Termes. This unique perspective system allows an entire three-dimensional surrounding to be projected onto the polyhedra. Ages 13 to adult.
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Ball of Fire
$15.95
The "Ball of Fire" is a foam polyhedral sculpture designed by Eve Torrence. The kit contains 12 parts plus instructions. Assembly requires no glue or other materials. A video demonstration of the product is available at http://www.youtube.com/watch?v=PPQWaVElAgQ.
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