See also:

• DODECAHEDRON (Gr. Melia, twelve, and ESpa, a face or base)

DODECAHEDRON (Gr. Melia, twelve, and ESpa, a See also:

• FACE (from Lat. fades, derived either from facere, to make, or from a root fa-, meaning " appear "; cf. Gr. cbatvstv)

face or See also:

• BASE

base)  , in See also:

• GEOMETRY

geometry, a solid enclosed by twelve See also:

• PLANE

plane faces . The " See also:

• ORDINARY (med. Lat. ordinarius, Fr. ordinaire)

ordinary See also:

• DODECAHEDRON (Gr. Melia, twelve, and ESpa, a face or base)

dodecahedron " is one of the Platonic solids (see See also:

• POLYHEDRON (Gr. rain, many, ESpa, a base)

POLYHEDRON) . The Greeks discovered that if a See also:

• LINE

line be divided in extreme and mean proportion, then the whole line and the greater segment are the lengths of the edge of a See also:

• CUBE (Gr. K46os, a cube)

cube and dodecahedron inscriptible in the same See also:

• SPHERE (Gr. vclsa?pa, a ball or globe)

sphere . The " small stellated dodecahedron," the " See also:

• GREAT

great dodecahedron " and the " great stellated dodecahedron " are See also:

• KEPLER, JOHANN (1571-1630)

Kepler-See also:

• POINSOT, LOUIS (1777–1859)

Poinsot solids; and the " truncated " and " snub dodecahedra " are Archimedean solids (see POLYHEDRON) . In See also:

• CRYSTALLOGRAPHY
• CRYSTALLOGRAPHY (from the Gr. Kpbo TaXXO , ice, and -ypachew, to write)

crystallography, the See also:

• REGULAR

regular or ordinary dodecahedron is an impossible See also:

• FORM (Lat. forma)

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 See also:

• HAND
• HAND (a word common to Teutonic languages; cf. Ger. Hand, Goth. handus)
• HAND, FERDINAND GOTTHELF (1786-185r)

hand, has regular ones . The " rhombic dodecahedron," one of the geometrical semiregular solids, is an important crystal form . Many other dodecahedra exist as crystal forms, for which see CRYSTALLOGRAPHY .