icosahedron


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Related to icosahedron: dodecahedron, Truncated icosahedron, Platonic solids

icosahedron

(īkō'səhē`drən): see polyhedronpolyhedron
, closed solid bounded by plane faces; each face of a polyhedron is a polygon. A cube is a polyhedron bounded by six polygons (in this case squares) meeting at right angles.
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Icosahedron

A regular polygon bounded by 20 equilateral triangles, with 12 vertices and 20 edges.

icosahedron

[ī¦kä·sə¦hē·drən]
(mathematics)
A 20-sided polyhedron.

icosahedron

a solid figure having 20 faces. The faces of a regular icosahedron are equilateral triangles
References in periodicals archive ?
This tiling set is readily obtained from a spherical icosahedron (or from a spherical dodecahedron) by connecting the center of each spherical face to the vertices of the face with geodesics.
Thus an icosahedron provides a lot of space for packaging the genome, entails simple assembly for the maximum space, and provides a sable home for the virus until the next round of infection.
It is worth to mention here that there are some recent articles discussing plausible theoretical links between icosahedron model and close-packed model of nuclei entities, for instance by the virtue of Baxter theory [5].
In Figure 14, the parallel small circle projection is applied to the icosahedron using Snyder's arrangement (1992).
In the score for Shifting Shapes, the dancers are tracing the periphery of the icosahedron, just as Sarah Leddy did for Sapphire.
The direct connection between the 3-D and 4-D spaces is realized when one equates the 120 group operations on the regular icosahedron (3, 5) to the vectors for the 120 vertices of the 600-cell hypericosahedron (3, 3, 5) in 4-D space in a particular way.
The motif that stood out time and again was a set of symmetries seen in various structures, including soccer balls, spherical geodesic domes, and the 20-sided, jewel-like shape known as the icosahedron.
Among these the truncated icosahedron has proved to be popular (White et al.
I leave the icosahedron and dodecahedron as an exercise for the reader.
Just as the six pennies in dimension two sit at the comers of a regular hexagon, the 12 balls in dimension three also sit at the corners of a regular shape: an icosahedron, which has 20 triangular sides.
Fekete and Treinish's (1990) spherical quadtree data structure, which is based on recursive subdivision of spherical triangles obtained by projecting the faces of an icosahedron onto a sphere, is a good example of great-circle edge partitioning.
There he proves that the tetrahedron, the hexahedron (a cube), the octahedron, the dodecahedron, and the icosahedron are the only possible regular convex solids (Fig.