Klein Graphs From Wolfram Mathworld The levi graph of the klein configuration may be termed the 120 klein graph. these graphs are implemented in the wolfram language as graphdata ["kleingraph24"] and graphdata ["kleingraph120"], respectively. In the 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 of genus 3, in which they form dual graphs.
Klein Graphs From Wolfram Mathworld Compute answers using wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. for math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…. The klein configuration is a configuration that consists of 60 points and 60 planes, with each point lying on 15 planes and each plane passing through 15 points. the levi graph of the configuration may be termed the 120 klein graph. The surface in complex projective coordinates (levy 1999, p. ix; left figure), and with the ideal surface determined by the equation (thurston 1999, p. 3; right figure) is more properly known as the klein quartic or klein curve. it has constant zero gaussian curvature. The franklin graph is the 12 vertex cubic graph shown above in a number of embeddings in the plane whose embedding on the klein bottle divides it into regions having a minimal coloring using six colors, thus providing the sole counterexample to the heawood conjecture.
Klein Four Group From Wolfram Mathworld The surface in complex projective coordinates (levy 1999, p. ix; left figure), and with the ideal surface determined by the equation (thurston 1999, p. 3; right figure) is more properly known as the klein quartic or klein curve. it has constant zero gaussian curvature. The franklin graph is the 12 vertex cubic graph shown above in a number of embeddings in the plane whose embedding on the klein bottle divides it into regions having a minimal coloring using six colors, thus providing the sole counterexample to the heawood conjecture. About mathworld mathworld classroom contribute mathworld book 13,311 entries last updated: wed mar 25 2026 ©1999–2026 wolfram research, inc. terms of use wolfram wolfram for education created, developed and nurtured by eric weisstein at wolfram research. About mathworld mathworld classroom contribute mathworld book 13,307 entries last updated: sat feb 14 2026 ©1999–2026 wolfram research, inc. terms of use wolfram wolfram for education created, developed and nurtured by eric weisstein at wolfram research. The best known example of a graph with nonzero klein bottle crossing number is the complete graph , which can be embedded on a torus (i.e., it has toroidal crossing number 0) but not on a klein bottle (franklin 1934, riskin 2001). In the 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 of genus 3, in which they form dual graphs.
Wolfram Demonstrations Project About mathworld mathworld classroom contribute mathworld book 13,311 entries last updated: wed mar 25 2026 ©1999–2026 wolfram research, inc. terms of use wolfram wolfram for education created, developed and nurtured by eric weisstein at wolfram research. About mathworld mathworld classroom contribute mathworld book 13,307 entries last updated: sat feb 14 2026 ©1999–2026 wolfram research, inc. terms of use wolfram wolfram for education created, developed and nurtured by eric weisstein at wolfram research. The best known example of a graph with nonzero klein bottle crossing number is the complete graph , which can be embedded on a torus (i.e., it has toroidal crossing number 0) but not on a klein bottle (franklin 1934, riskin 2001). In the 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 of genus 3, in which they form dual graphs.
Wolfram Klein Youtube The best known example of a graph with nonzero klein bottle crossing number is the complete graph , which can be embedded on a torus (i.e., it has toroidal crossing number 0) but not on a klein bottle (franklin 1934, riskin 2001). In the 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 of genus 3, in which they form dual graphs.
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