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  2. Lists of uniform tilings on the sphere, plane, and hyperbolic ...

    en.wikipedia.org/wiki/Lists_of_uniform_tilings...

    Special cases are right triangles (p q 2). Uniform solutions are constructed by a single generator point with 7 positions within the fundamental triangle, the 3 corners, along the 3 edges, and the triangle interior. All vertices exist at the generator, or a reflected copy of it. Edges exist between a generator point and its image across a mirror.

  3. David Plotz - Wikipedia

    en.wikipedia.org/wiki/David_Plotz

    David A. Plotz [2] (born January 31, 1970) [3] is an American journalist and former CEO of Atlas Obscura, an online magazine devoted to discovery and exploration. [4] A writer with Slate since its inception in 1996, Plotz was the online magazine's editor from June 2008 until July 2014, [ 5 ] succeeding Jacob Weisberg . [ 6 ]

  4. Geodesic polyhedron - Wikipedia

    en.wikipedia.org/wiki/Geodesic_polyhedron

    Geodesic polyhedra are constructed by subdividing faces of simpler polyhedra, and then projecting the new vertices onto the surface of a sphere. A geodesic polyhedron has straight edges and flat faces that approximate a sphere, but it can also be made as a spherical polyhedron (a tessellation on a sphere ) with true geodesic curved edges on the ...

  5. Real projective space - Wikipedia

    en.wikipedia.org/wiki/Real_projective_space

    A generator for the fundamental group is the closed curve obtained by projecting any curve connecting antipodal points in ⁠ ⁠ down to ⁠ ⁠. The projective ⁠ n {\displaystyle n} ⁠ -space is compact, connected, and has a fundamental group isomorphic to the cyclic group of order 2: its universal covering space is given by the antipody ...

  6. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

  7. Van de Graaff generator - Wikipedia

    en.wikipedia.org/wiki/Van_de_Graaff_generator

    Higher potentials on the sphere can also be achieved by using a voltage source to charge the belt directly, rather than relying solely on the triboelectric effect. A Van de Graaff generator terminal does not need to be sphere-shaped to work, and in fact, the optimum shape is a sphere with an inward curve around the hole where the belt enters.

  8. Goldberg polyhedron - Wikipedia

    en.wikipedia.org/wiki/Goldberg_polyhedron

    In mathematics, and more specifically in polyhedral combinatorics, a Goldberg polyhedron is a convex polyhedron made from hexagons and pentagons.They were first described in 1937 by Michael Goldberg (1902–1990).

  9. Dyson Sphere Program - Wikipedia

    en.wikipedia.org/wiki/Dyson_Sphere_Program

    Dyson Sphere Program takes place in a futuristic science fiction world, where a society exists primarily in a virtual computer space, which demands a great deal of power and computational ability. To expand that, they have sent one of their members, the player, into the real universe to construct a Dyson sphere from resources in a nearby star ...

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