| I don't know how to determine whether a polyhedra is constructible with magnetic spheres. |
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| The other four were not known to the Greeks, and are sometimes known as the stellated regular polyhedra. |
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| This ratio occurs several times in the theory of regular polygons and polyhedra. |
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| You can readily extend the same approach to other polyhedra, such as prisms and antiprisms. |
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| For example, fair dice don't have to be in the shape of regular polyhedra, such as cubes, icosahedra, and so on. |
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| Alicia Stott made two further important discoveries relating to constructions for polyhedra related to the golden section. |
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| The final part shows how each of the five regular polyhedra can be inscribed in a sphere. |
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| This work gave an algebraic classification of maps from polyhedra to spheres. |
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| The plaque deposits did not form cell casts or polyhedra and did not penetrate into the cell cavities, but were an external deposit only. |
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| Kepler connected the planetary orbits with the five regular polyhedra, or Platonic solids. |
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| The regular hexahedron is part of the family of 5 platonic solids, which are the most regular polyhedra. |
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| To solve the problem, Vinson opted to use polyhedra that have more vertices than faces. |
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| In places pyrite framboids and polyhedra occur associated with the ferroan dolomite rhombs, the latter aligned as they would have been within the original calcite. |
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| There are many, many Web sites that deal with the mathematics of polyhedra. |
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| Mathematicians were forced to consider the question of what constitutes a hole in a solid and what that has to do with Euler's formula for polyhedra. |
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| Regular polyhedra are the solid analogies to regular polygons in the plane. |
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| Mathematics. 3000 graphs, 187 polyhedra, and more. |
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| The new wing is expressed as a free-form polyhedra emerging from the ground flanking the existing building and underlying the expression of the old and the new in their own respective identity. |
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| Additionally, the Crockett Corner enabled some unique approaches for constructing cubes, octahedra, and other polyhedra. |
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| Conway has also suggested a system of notation dedicated to describing polyhedra called Conway polyhedron notation. |
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| Maxwell was fascinated by geometry at an early age, rediscovering the regular polyhedra before he received any formal instruction. |
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| While one of the semiregular polyhedra was mentioned by Plato, their first serious study is attributed to Archimedes. |
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| Flat style lets you create traditional polyhedra, while curved style smooths your polyhedra into tilings of the sphere, Euclidean plane or hyperbolic plane. |
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| The truncation procedure that produced the truncated cube I can be applied to arbitrary polyhedra so as to obtain new polyhedra. |
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| He covers designing origami polyhedra, platonic and related polyhedra, and dipyramids and dimpled dipyramids. |
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| All Platonic solids are convex regular polyhedra symmetrical about their centers. |
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| The Euler characteristic, named for the 18th-century Swiss mathematician Leonhard Euler, can be used to show that there are only five regular polyhedra, the so-called Platonic solids. |
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| Municipal employees are called upon to build Archimedean polyhedra of the cuboctahedron variety and to personalize them through the insertion of found-objects or creations of their own making. |
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| Explore polyhedra and tessellations while creating colorful works of art. |
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| Like roofless polyhedra, treetopes have a designated base facet such that every face of dimension greater than one intersects the base in more than one point. |
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| Their topics include combinatorial figures, binocular vision and single image stereograms, distortion and anamorphic art, spherical polyhedra, and matroids. |
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| In this structure-type, the eight-coordinate polyhedra share edges to form a framework composed of cross-linked chains that extend along the and directions. |
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| The great stellated dodecahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also the third and final stellation of the dodecahedron. |
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