Dihedral Symmetry In Three Dimensions, Prism Symmetry
Dihedral or polyhedral may refer to: * Dihedral angle, the angle between two mathematical planes * Dihedral (aeronautics), the upward angle of a fixed-wing aircraft's wings where they meet at the fuselage, dihedral ''effect'' of an aircraft, longitudinal dihedral angle of a fixed-wing aircraft * Dihedral group, the group of symmetries of the ''n''-sided polygon in abstract algebra ** Also Dihedral symmetry in three dimensions * Dihedral kite, also known as a bowed kite * Dihedral doors, also known as butterfly doors * Dihedral prime, also known as a dihedral calculator prime * In rock climbing, an inside corner of rock See also * Anhedral (other) * Euhedral, a crystal structure * Polyhedron In geometry, a polyhedron (: polyhedra or polyhedrons; ) is a three-dimensional figure with flat polygonal Face (geometry), faces, straight Edge (geometry), edges and sharp corners or Vertex (geometry), vertices. The term "polyhedron" may refer ...

Dihedral (aeronautics)
Dihedral angle is the upward angle from horizontal of the wings or tailplane of a fixed-wing aircraft. "Anhedral angle" is the name given to negative dihedral angle, that is, when there is a ''downward'' angle from horizontal of the wings or tailplane of a fixed-wing aircraft. Dihedral angle has a strong influence on dihedral effect, which is named after it. Dihedral effect is the amount of roll moment produced in proportion to the amount of sideslip. Dihedral effect is a critical factor in the stability of an aircraft about the roll axis (the spiral mode). It is also pertinent to the nature of an aircraft's Dutch roll oscillation and to maneuverability about the roll axis. Longitudinal dihedral is a comparatively obscure term related to the pitch axis of an airplane. It is the angle between the zero-lift axis of the wing and the zero-lift axis of the horizontal tail. Longitudinal dihedral can influence the nature of controllability about the pitch axis and the ...
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Dihedral Group
In mathematics, a dihedral group is the group (mathematics), group of symmetry, symmetries of a regular polygon, which includes rotational symmetry, rotations and reflection symmetry, reflections. Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory, geometry, and chemistry. The notation for the dihedral group differs in geometry and abstract algebra. In geometry, or refers to the symmetries of the n-gon, -gon, a group of order . In abstract algebra, refers to this same dihedral group. This article uses the geometric convention, . Definition The word "dihedral" comes from "di-" and "-hedron". The latter comes from the Greek word hédra, which means "face of a geometrical solid". Overall it thus refers to the two faces of a polygon. Elements A regular polygon with n sides has 2n different symmetries: n rotational symmetry, rotational symmetries and n reflection symmetry, reflection symmetries. Usually, we take n ...
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Dihedral Symmetry In Three Dimensions
In geometry, dihedral symmetry in three dimensions is one of three infinite sequences of point groups in three dimensions which have a symmetry group that as an abstract group is a dihedral group Dih''n'' (for ''n'' ≥ 2). Types There are 3 types of dihedral symmetry in three dimensions, each shown below in 3 notations: Schönflies notation, Coxeter notation, and orbifold notation. ;Chiral: *''Dn'', [''n'',2]+, (22''n'') of order 2''n'' – dihedral symmetry or para-n-gonal group (abstract group: Dihedral group, ''Dihn''). ;Achiral: *''Dnh'', [''n'',2], (*22''n'') of order 4''n'' – prismatic symmetry or full ortho-n-gonal group (abstract group: ''Dihn'' × ''Z''2). *''Dnd'' (or ''Dnv''), [2''n'',2+], (2*''n'') of order 4''n'' – antiprismatic symmetry or full gyro-n-gonal group (abstract group: ''Dih''2''n''). For a given ''n'', all three have ''n''-fold rotational symmetry about one axis (rotation by an angle of 360°/''n'' does not change the object), and 2-fold ...
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Bowed Kite
Bowed kite A kite is a tethered heavier than air flight, heavier-than-air craft with wing surfaces that react against the air to create Lift (force), lift and Drag (physics), drag forces. A kite consists of wings, tethers and anchors. Kites often have ...s such as the Japanese rokkaku, and traditional versions of the more familiar "diamond" shaped kites such as the Malay or Eddy, are tensioned into a bow in order to improve their stability to the point where a tail often becomes unnecessary. The classic long-tail diamond kite, with a simple two-point bridle, has its lateral roll or flutter (oscillation) greatly reduced or eliminated by a bow in its horizontal spar. Some modern designs use a fixed plastic joiner with a dihedral shape instead of a bowed spar to achieve the same stability effect. See also * Tetrahedral kite References Bowed kites at the Virtual Kite Zoo. External linksKite IndexLink Directory, For All Kite Related Websites.* {{Kites Kites ...
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Butterfly Doors
Butterfly doors are a type of car door sometimes seen on high-performance cars. They are slightly different from scissor doors. While scissor doors move straight up via hinge points at the bottom of a car's A-pillar, butterfly doors move up and out via hinges along the A-pillar. This makes for easier entry and exit, at the expense of requiring more side clearance than needed for scissor doors. History Butterfly doors were first seen on the Alfa Romeo 33 Stradale in 1967.This Is the Vintage Alfa Romeo That Inspired the New 8CThis Is the Vintage Alfa Romeo That Inspired the New 8C accessdate: 15. June 2019 These doors were commonly used in Group C and IMSA GTP prototypes, as they preserved the aerodynamic shape of the canopy while allowing the driver to enter and exit the car more quickly than conventional and gullwing doors. The Toyota Sera, made between 1990 and 1995, was a limited-release car designed exclusively for the Japanese market and the first mass-produced vehicle ...
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Dihedral Prime
A dihedral prime or dihedral calculator prime is a prime number that still reads like itself or another prime number when read in a seven-segment display, regardless of orientation (normally or upside down), and surface (actual display or reflection on a mirror). The first few decimal dihedral primes are : 2, 5, 11, 101, 181, 1181, 1811, 18181, 108881, 110881, 118081, 120121, 121021, 121151, 150151, 151051, 151121, 180181, 180811, 181081 . The smallest dihedral prime that reads differently with each orientation and surface combination is 120121 which becomes 121021 (upside down), 151051 (mirrored), and 150151 (both upside down and mirrored). The digits 0, 1 and 8 remain the same regardless of orientation or surface (the fact that 1 moves from the right to the left of the seven-segment cell when reversed is ignored). 2 and 5 remain the same when viewed upside down, and turn into each other when reflected in a mirror. In the display of a calculator that can handle hexadecimal, ...
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Dihedral (climbing)
Glossary of climbing terms relates to rock climbing (including aid climbing, lead climbing, bouldering, and competition climbing), mountaineering, and to ice climbing. ebook: The terms used can vary between different English-speaking countries; many of the phrases described here are particular to the United States and the United Kingdom. A B C D E F G ...
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Anhedral (other)
Anhedral may refer to: * Anhedral angle, the downward angle from horizontal of the wings or tailplane of a fixed-wing aircraft * Anhedral (petrology) Euhedral and anhedral are terms used to describe opposite properties in the formation of crystals. Euhedral (also known as idiomorphic or automorphic) crystals are those that are well-formed, with sharp, easily recognised face (geometry), faces ...

Euhedral
Euhedral and anhedral are terms used to describe opposite properties in the formation of crystals. Euhedral (also known as idiomorphic or automorphic) crystals are those that are well-formed, with sharp, easily recognised faces. The opposite is anhedral (also known as '' xenomorphic'' or ''allotriomorphic''), which describes rock with a microstructure composed of mineral grains that have no well-formed crystal faces or cross-section shape in thin section. Anhedral crystal growth occurs in a competitive environment with no free space for the formation of crystal faces. An intermediate texture with some crystal face-formation is termed subhedral (also known as ''hypidiomorphic'' or ''hypautomorphic''). Crystals that grow from cooling liquid magma typically do not form smooth faces or sharp crystal outlines. As magma cools, the crystals grow and eventually touch each other, preventing crystal faces from forming properly or at all. When snowflakes crystallize, they do not touc ...
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