# Icosahedron Sentence Examples

**ICOSAHEDRON**(Gr.- Nevertheless, holding that every dimension has a principle of its own, he rejected the derivation of the elemental solids - pyramid, octahedron,
**icosahedron**and cube - from triangular surfaces, and in so far approximated to atomism. - The names of these five solids are: (r) the tetrahedron, enclosed by four equilateral triangles; (2) the cube or hexahedron, enclosed by 6 squares; (3) the octahedron, enclosed by 8 equilateral triangles; (4) the dodecahedron, enclosed by 12 pentagons; (5) the
**icosahedron**, enclosed by 20 equilateral triangles. - The first three were certainly known to the Egyptians; and it is probable that the
**icosahedron**and dodecahedron were added by the Greeks. - The equilateral triangle is the basis of the tetrahedron, octahedron and
**icosahedron**.' - These solids played an important part in the geometry of the Pythagoreans, and in their cosmology symbolized the five elements: fire (tetrahedron), air (octahedron), water (
**icosahedron**), earth (cube), universe or ether (dodecahedron). - The great dodecahedron is determined by the intersections of the twelve planes which intersect the Platonic
**icosahedron**in five of its edges; or each face has the same boundaries as the basal sides of five covertical faces of the**icosahedron**. - The great
**icosahedron**is the reciprocal of the great stellated dodecahedron. - Each of the twenty triangular faces subtend at the centre the same angle as is subtended by four whole and six half faces of the Platonic
**icosahedron**; in other words, the solid is determined by the twenty planes which can be drawn through the vertices of the three faces contiguous to any face of a Platonic**icosahedron**. - Svo - Kat- rpoieKovra, thirty-two), is a 32-faced solid, formed by truncating the vertices of an
**icosahedron**so that the original faces become triangles. - It is enclosed by 20 triangular faces belonging to the original
**icosahedron**, and 12 pentagonal faces belonging to the coaxial dodecahedron. - The truncated
**icosahedron**is formed similarly to the icosidodecahedron, but the truncation is only carried far enough to leave the original faces hexagons. - It is therefore enclosed by 20 hexagonal faces belonging to the
**icosahedron**, and 12 pentagonal faces belonging to the coaxial dodecahedron. - The truncated dodecahedron is formed by truncating the vertices of a dodecahedron parallel to the faces of the coaxial
**icosahedron**so as to leave the former decagons. - It is enclosed by 20 triangular faces belonging to the
**icosahedron**and 12 decagons belonging to the dodecahedron. - - Two 62-faced solids are derived from the dodecahedron,
**icosahedron**and the semi-regular triacontahedron. - In the " small rhombicosidodecahedron " there are 12 pentagonal faces belonging to the dodecahedron, 20 triangular faces belonging to the
**icosahedron**and 30 square faces belonging to the triacontahedron. - The pentagons belong to a dodecahedron, and 20 triangles to an
**icosahedron**; the remaining 60 triangles belong to no regular solid. - It is self-reciprocal; the cube and octahedron, the dodecahedron and
**icosahedron**, the small stellated dodecahedron and great dodecahedron, and the great stellated dodecahedron and great**icosahedron**are examples of reciprocals. - Thus the faces of the cuboctahedron, the truncated cube, and truncated octahedron, correspond; likewise with the truncated dodecahedron, truncated
**icosahedron**, and icosidodecahedron; and with the small and great rhombicosidodecahedra.