point group of directions

  • 1Crystallographic point group — In crystallography, a crystallographic point group is a set of symmetry operations, like rotations or reflections, that leave a central point fixed while moving other directions and faces of the crystal to the positions of features of the same… …

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  • 2Point groups in three dimensions — In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries… …

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  • 3Point groups in two dimensions — In geometry, a point group in two dimensions is an isometry group in two dimensions that leaves the origin fixed, or correspondingly, an isometry group of a circle. It is a subgroup of the orthogonal group O(2), the group of all isometries which… …

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  • 4Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …

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  • 5Directions in Music: Live at Massey Hall — Live album by Herbie Hancock, Roy Hargrove Michael Brecker Released 2002 …

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  • 6Point Betsie Light — Infobox Lighthouse caption = Point Betsie Lighthouse location = North of Frankfort, Michigan coordinates = coord|44.6913| 86.2552| yearbuilt = 1859 yearlit = 1859 automated = April 1983 yeardeactivated = foundation = Concrete construction = Cream …

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  • 7Group development — The goal of most research on group development is to learn why and how small groups change over time. To do this, researchers examine patterns of change and continuity in groups over time. Aspects of a group that might be studied include the… …

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  • 8Point Piper, New South Wales — Infobox Australian Place | type = suburb name = Point Piper city = Sydney state = nsw caption = Seven Shillings Beach lga = Municipality of Woollahra postcode = 2027 pop = 1,386 (2001) [Census 2001 AUS|id=SSC12926|name=Point Piper (State… …

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  • 9Wallpaper group — A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and… …

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  • 10Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… …

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