Hexagonal prism

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In geometry, hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 sides, and 12 vertices.

Since it has eight faces, it is octagonal. However, the term octahedron is primarily used to refer to the ordinary octahedron , which has eight triangular faces. Due to the ambiguity of the terms octahedron and the inequalities of the various eight-sided figures, the term is rarely used without clarification.

Before sharpening, many pencils take the form of long hexagonal prisms.

Video Hexagonal prism

Sebagai polihedron semiregular (atau seragam)

If the faces are all orderly, the hexagonal prism is a semiregular polypedron, more commonly, uniform polyhedron, and fourth in an infinite prism set formed by a square side and two regular polygon caps. This can be seen as a truncated hexagonal hosohedron , represented by the SchlÃÆ'¤fli t symbol {2,6}. It can also be seen as a Cartesian product of the regular sixth and line segments, and represented by the product {6} ÃÆ'â € "{}. Two hexagonal prisms are bipyagonal hexagonal.

The symmetry group of right hexagonal prisms is D _6h of the order 24. The rotation group is D ₆ of order 12.

Maps Hexagonal prism

Volume

Seperti pada kebanyakan prisma, volume ditemukan dengan mengambil luas basis, dengan panjang sisi ${\ displaystyle a}  ÂÂ$ , dan mengalikannya dengan tinggi $            {\displaystyle         h      }        \{\backslash \; displaystyle\; h\}\;  ÂÂ$ , memberikan rumus:

${\ displaystyle V = {\ frac {3 {\ sqrt {3}}} {2}} a ^ {2} \ kali h}  ÂÂ$

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Simetri

Uniform hexagonal prism topology may have lower symmetry geometric variations, including:

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As part of the spatial tesselations

It exists as a cell of four prismatic convex nests in three dimensions:

It also exists as a cell of 4 uniform four-dimensional polyethers, including:

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Polyhedra and related tilings

These polyhedrons can be considered as members of a uniform pattern sequence with angle images (4.6.2p) and Coxeter-Dynkin diagram . For p & lt; 6, the sequence member is omnitruncated polyhedra (zonohedrons), shown below as a round tilt. For p & gt; 6, they are the slope of the hyperbolic plane, starting with the truncated triheptagonal tiles.

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See also

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References

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External links

• Uniform Nest in 3-Space VRML model
• The Uniform Polyhedra
• Virtual Reality Polyhedra The Encyclopedia of Polyhedra Prism and antiprism
• Weisstein, Eric W. "Hexagonal prism". MathWorld .
• Hexagonal Prism Interactive Model - works in your web browser

Source of the article : Wikipedia