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A standard, hexagonal, "#2 pencil" is cut to a hexagonal height of 6 mm (1 ⁄ 4 in), but the outer diameter is slightly larger (about 7 mm or 9 ⁄ 32 in) A standard, "#2", hexagonal pencil is 19 cm (7.5 in) long.
A pencil of planes, is the set of planes through a given straight line in three-space, called the axis of the pencil. The pencil is sometimes referred to as a axial-pencil [7] or fan of planes or a sheaf of planes. [8] For example, the meridians of the globe are defined by the pencil of planes on the axis of Earth's rotation.
Carpenter's pencil on the job. A carpenter pencil (carpentry pencil, carpenter's pencil) is a pencil that has a body with a rectangular or elliptical cross-section to allow it to be used as a quick reference to 1/4 and 1/2 inch measurements (15mm and 7.5mm in metric versions).
Hex is a finite, 2-player perfect information game, and an abstract strategy game that belongs to the general category of connection games. [1] It can be classified as a Maker-Breaker game, [1]: 122 a particular type of positional game.
[5] [11] Its hexagonal shape resembles the typical wooden pencil and grants strength and three grip points giving high writing stability. The pen's transparent polystyrene barrel and polypropylene tube show the ink-level. [4]
It can be seen as a truncated hexagonal hosohedron, represented by Schläfli symbol t{2,6}. Alternately it can be seen as the Cartesian product of a regular hexagon and a line segment, and represented by the product {6}×{}. The dual of a hexagonal prism is a hexagonal bipyramid. The symmetry group of a right hexagonal prism is D 6h of order 24.
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They are defined by three properties: each face is either a pentagon or hexagon, exactly three faces meet at each vertex, and they have rotational icosahedral symmetry. They are not necessarily mirror-symmetric; e.g. GP(5,3) and GP(3,5) are enantiomorphs of each other. A Goldberg polyhedron is a dual polyhedron of a geodesic polyhedron.