Klein Graphs
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Klein Graphs
In the mathematics, mathematical field of graph theory, the Klein graphs are two different but related regular graphs, each with 84 edges. Each can be embedded in the orientable Surface (topology), surface of Surface (topology)#Classification_of_closed_surfaces, genus 3, in which they form dual graphs. The cubic Klein graph This is a 3-regular graph, regular (Cubic graph, cubic) graph with 56 vertices and 84 edges, named after Felix Klein. It is Hamiltonian graph, Hamiltonian, has chromatic number 3, chromatic index 3, radius 6, diameter 6 and girth (graph theory), girth 7. It is also a 3-k-vertex-connected graph, vertex-connected and a 3-k-edge-connected graph, edge-connected graph. It has book thickness 3 and queue number 2. It can be embedded in the Manifold#Genus_and_the_Euler_characteristic, genus-3 orientable Manifold, surface (which can be represented as the Klein quartic), where it forms the Klein map with 24 heptagonal faces, Schläfli symbol 8. According to the ''Fost ...
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Triple Torus Illustration
Triple is used in several contexts to mean "threefold" or a "Treble (other), treble": Sports * Triple (baseball), a three-base hit * A basketball three-point field goal * A figure skating jump with three rotations * In bowling terms, three strikes in a row * In cycling, a crankset with three chainrings Places * Triple Islands, an uninhabited island group in Nunavut, Canada * Triple Island, British Columbia, Canada * Triple Falls (other), four waterfalls in the United States & Canada * Triple Glaciers, in Grand Teton National Park, Wyoming * Triple Crossing, Richmond, Virginia, believed to be the only place in North America where three Class I railroads cross * Triple Bridge, a stone arch bridge in Ljubljana, Slovenia Transportation * Kawasaki triple, a Japanese motorcycle produced between 1969 and 1980 * Triumph Triple, a motorcycle engine from Triumph Motorcycles Ltd * A straight-three engine * A semi-truck with three trailers Science and technology * Triple ( ...
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