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a lower pyritohedral symmetry, and is called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen as an...

similar to the snub tetrahedron symmetry of the icosahedron, as a partial faceting of the truncated octahedron (or omnitruncated tetrahedron): . It can also...

icosahedron, as a uniform snub tetrahedron, is similar to these snub-pair compounds: compound of two snub cubes and compound of two snub dodecahedra. Together...

an octahedron can be viewed as a rectified tetrahedron, and an icosahedron can be used as a snub tetrahedron.) Aperiodic tiling Archimedean graph Icosahedral...

uniform snub polyhedra, not including the antiprisms, the icosahedron as a snub tetrahedron, the great icosahedron as a retrosnub tetrahedron and the...

being made of tetrahedron and icosahedron cells. (The other two are the rectified 5-cell and rectified 600-cell.) Snub icositetrachoron Snub demitesseract...

of an inscribed tetrahedron, and lie in the center of the larger faces of an inscribing tetrahedron. Because the octahedron can be snub truncated yielding...

60° (S6) 3 × reflection in a plane (Cs) The Icosahedron colored as a snub tetrahedron has chiral symmetry. Octahedral symmetry Icosahedral symmetry Binary...

(A tetrahedron is a special pyramid) T = Y3 O = aT (ambo tetrahedron) C = jT (join tetrahedron) I = sT (snub tetrahedron) D = gT (gyro tetrahedron) Triangular...

nonconvex forms if Skilling's figure is included). Some of the nonconvex snub forms have reflective vertex symmetry. Coxeter identified a number of degenerate...

{19}}\approx 4.359} . Except for the tetrahedron, which has infinitely many types of simple closed geodesics, the snub disphenoid has the most types of geodesics...

cutting off from a regular tetrahedron, four regular tetrahedra of half the linear size (i.e. rectifying the tetrahedron). The vertices of the octahedron...

sphenoeides 'wedgelike') is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described as a tetrahedron in which every two edges...

Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron Truncated cuboctahedron Snub cube Icosidodecahedron...

cupola, Snub disphenoid, Elongated square dipyramid, Metabidiminished icosahedron, Hexagonal bipyramid, Hexagonal trapezohedron, Triakis tetrahedron, Rhombic...

rectifying the tetrahedron produces the octahedron, rectifying the 16-cell produces the 24-cell, the regular member of the following family. The snub 24-cell...

octahedrons, 600 icosahedrons, 720 pentagonal antiprisms, 120 snub dodecahedrons, and 7200 tetrahedrons filling the gaps at the deleted vertices. It has 9840...

geometry, a snub is an operation applied to a polyhedron. The term originates from Kepler's names of two Archimedean solids, for the snub cube (cubus...

the snub 24-cell, it has symmetry [3+,4,3], order 576. The vertex figure contains one icosahedron, two triangular prisms, one truncated tetrahedron, and...

honeycomb. Although a regular tetrahedron can not tessellate space alone, this dual has identical disphenoid tetrahedron cells with isosceles triangle...