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A uniform polyhedron is a polyhedron in which the faces are regular and they are isogonal; examples include Platonic and Archimedean solids as well as prisms and antiprisms. [4] The Johnson solids are named after American mathematician Norman Johnson (1930–2017), who published a list of 92 such polyhedra in 1966.
The body length (not including the neck) of a 'full-size' or 4/4 violin is 356 mm (14.0 in) (or smaller in some models of the 17th century). A 3/4 violin is 335 mm (13.2 in), and a 1/2 size is 310 mm (12 in). Rarely, one finds a size referred to as 7/8 which is approximately 340 mm (13.5 in), sometimes called a "ladies' fiddle."
For example, a 3 ⁄ 4-sized instrument is not three-quarters the length of a full size instrument. The body length (not including the neck) of a full-size, or 4 ⁄ 4, violin is 356 mm (14.0 in), smaller in some 17th-century models. A 3 ⁄ 4 violin's body length is 335 mm (13.2 in), and a 1 ⁄ 2 size is 310 mm (12.2 in). With the violin's ...
4.6.8: 12 squares 8 hexagons 6 octagons 72 48 O h: Snub cube: 3.3.3.3.4: 32 triangles 6 squares 60 24 O Icosidodecahedron: 3.5.3.5: 20 triangles 12 pentagons: 60 30 I h: Truncated dodecahedron: 3.10.10: 20 triangles 12 decagons: 90 60 I h: Truncated icosahedron: 5.6.6: 12 pentagons 20 hexagons 90 60 I h: Rhombicosidodecahedron: 3.4.5.4: 20 ...
A Johnson solid is a convex polyhedron whose faces are all regular polygons. [2] Here, a polyhedron is said to be convex if the shortest path between any two of its vertices lies either within its interior or on its boundary, none of its faces are coplanar (meaning they do not share the same plane, and do not "lie flat"), and none of its edges are colinear (meaning they are not segments of the ...
Cellos exist in a smaller range of sizes than violins, with 4/4, 3/4, 1/2, 1/4, 1/8, and 1/10 being reasonably common. As with the violin, the Stradivarius scale is regarded as standard for orchestral work; This is about 27.4 inches (700 mm). Violas are commonly described in terms of their body length rather than by a fraction. There are two ...
These semiregular solids can be fully specified by a vertex configuration: a listing of the faces by number of sides, in order as they occur around a vertex. For example: 3.5.3.5 represents the icosidodecahedron, which alternates two triangles and two pentagons around each vertex. In contrast: 3.3.3.5 is a pentagonal antiprism.
A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior. Solid geometry deals with the measurements of volumes of various solids, including pyramids , prisms (and other polyhedrons ), cubes , cylinders , cones (and truncated cones ).