# Dodecahedron Sentence Examples

- 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. - Elie de Beaumont, in his speculations on the relation between the direction of mountain ranges and their geological age and character, was feeling towards a comprehensive theory of the forms of crustal relief; but his ideas were too geometrical, and his theory that the earth is a spheroid built up on a rhombic
**dodecahedron**, the pentagonal faces of which determined the direction of mountain ranges, could not be proved.' - 1 shows P the cube {100}, d the octahedron {III }, and e the pentagonal
**dodecahedron**{210}. - 2 {2 Io} and {III} are associated with f the dyakis-
**dodecahedron**1321}; whilst fig. - Crystals of blende belong to that subclass of the cubic system in which there are six planes of symmetry parallel to the faces of the rhombic
**dodecahedron**and none parallel to the cubic faces; in other words, the crystals are cubic with inclined hemihedrism, and have no centre of symmetry. - An important character of blende is the perfect dodecahedral cleavage, there being six directions of cleavage parallel to the faces of the rhombic
**dodecahedron**, and angles between which are 600. - Percussionfigures, readily made on the cleavage-faces, have rays parallel to faces of the rhombic
**dodecahedron**; whilst figures etched with water represent the four-faced cube. **DODECAHEDRON**(Gr.- The Greeks discovered that if a line be divided in extreme and mean proportion, then the whole line and the greater segment are the lengths of the edge of a cube and
**dodecahedron**inscriptible in the same sphere. - In crystallography, the regular or ordinary
**dodecahedron**is an impossible form since the faces cut the axes in irrational ratios; the "pentagonal**dodecahedron**" of crystallographers has irregular pentagons for faces, while the geometrical solid, on the other hand, has regular ones. - The "rhombic
**dodecahedron**," one of the geometrical semiregular solids, is an important crystal form. - Name Flussspat or Fluss.) Fluor-spar crystallizes in the cubic system, commonly in cubes, either alone or combined with the octahedron, rhombic
**dodecahedron**, four-faced cube, &c. The four-faced cube has been called the fluoroid. - Rhombic
**dodecahedron**(Iio), and f the four-faced cube (310). - Other examples of reciprocal holohedra are: the rhombic
**dodecahedron**and cuboctahedron, with regard to the cube and octahedron; and the semiregular triacontahedron and icosidodecahedron, with regard to the**dodecahedron**and icosahedron. - Four such solids exist: (I) small stellated
**dodecahedron**; (2) great**dodecahedron**; (3) great stellated**dodecahedron**; (4) great icosahedron. - 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. - The first three were certainly known to the Egyptians; and it is probable that the icosahedron and
**dodecahedron**were added by the Greeks. - The small stellated
**dodecahedron**is formed by stellating the Platonic**dodecahedron**(by "stellating " is meant developing the faces contiguous to a specified base so as to form a regular pyramid). - 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 stellated
**dodecahedron**is formed by stellating the faces of a great**dodecahedron**. - The rhombic faces of the
**dodecahedron**are often striated parallel to the longer diagonal. - African stones; and the
**dodecahedron**is perhaps more common in Brazil than elsewhere. - 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. - 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. - - Two 62-faced solids are derived from the
**dodecahedron**, icosahedron and the semi-regular triacontahedron. - We may also note that of the Archimedean solids: the truncated tetrahedron, truncated cube, and truncated
**dodecahedron**, are the reciprocals of the crystal forms triakistetrahedron, triakisoctahedron and triakisicosahedron. - As examples of facial holohedra we may notice the small rhombicuboctahedron and rhombic
**dodecahedron**, and the small rhombicosidodecahedron and the semiregular triacontahedron.