An artist can look at a mathematical shape and envision unlimited possibilities, even from a shape as seemingly simple as a tetrahedron , a trefoil knot, a Möbius strip, or a fractal surface.
In particular he identified the five elements, fire, earth, air, water and celestial matter with the five regular solids, the tetrahedron , cube, octahedron, icosahedron and the dodecahedron.
With his geodesic dome, Fuller began to express a favorite geometric shape of his, the tetrahedron , and he put it everywhere he could.
Quartz crystals are silicon atoms surrounded by a tetrahedron of oxygen atoms linked at shared corners.
The strongest and most stable molecular structure is the three-dimensional tetrahedron , the configuration achieved with silicates.
The tetrahedrite crystal on this specimen is a simple tetrahedron with very smooth, clean crystal faces and a bright, shiny metallic gray color (personal observation).
These five remarkable solids - tetrahedron , cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
The Enterprise Day at Joseph Rowntree School also involved representatives from The Institute Of Civil Engineers who built a giant tetrahedron with their young charges.
In the methane molecule CH 4, for instance, the carbon atom is located at the center of a tetrahedron with the four hydrogen atoms located at the four apexes of the tetrahedron .
He assigned the tetrahedron to fire, because the tetrahedron is the regular solid with the sharpest angles, and because fire is the most penetrating of elements.