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- Icosian_calculus abstract "The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856.In modern terms, he gave a group presentation of the icosahedral rotation group by generators and relations.Hamilton’s discovery derived from his attempts to find an algebra of "triplets" or 3-tuples that he believed would reflect the three Cartesian axes. The symbols of the icosian calculus can be equated to moves between vertices on a dodecahedron. Hamilton’s work in this area resulted indirectly in the terms Hamiltonian circuit and Hamiltonian path in graph theory. He also invented the icosian game as a means of illustrating and popularising his discovery.".
- Icosian_calculus thumbnail Icosian_grid_small_with_labels2.svg?width=300.
- Icosian_calculus wikiPageID "316081".
- Icosian_calculus wikiPageLength "4968".
- Icosian_calculus wikiPageOutDegree "35".
- Icosian_calculus wikiPageRevisionID "558111846".
- Icosian_calculus wikiPageWikiLink Algebraic_structure.
- Icosian_calculus wikiPageWikiLink Alternating_group.
- Icosian_calculus wikiPageWikiLink Associative.
- Icosian_calculus wikiPageWikiLink Associative_property.
- Icosian_calculus wikiPageWikiLink Cartesian_coordinate_system.
- Icosian_calculus wikiPageWikiLink Category:Abstract_algebra.
- Icosian_calculus wikiPageWikiLink Category:Binary_operations.
- Icosian_calculus wikiPageWikiLink Category:Graph_theory.
- Icosian_calculus wikiPageWikiLink Category:Rotational_symmetry.
- Icosian_calculus wikiPageWikiLink Combinatorial_group_theory.
- Icosian_calculus wikiPageWikiLink Commutative.
- Icosian_calculus wikiPageWikiLink Commutative_property.
- Icosian_calculus wikiPageWikiLink Coxeter_group.
- Icosian_calculus wikiPageWikiLink Dessin_denfant.
- Icosian_calculus wikiPageWikiLink Directed_graph.
- Icosian_calculus wikiPageWikiLink Dodecahedron.
- Icosian_calculus wikiPageWikiLink Generating_set_of_a_group.
- Icosian_calculus wikiPageWikiLink Geometric_group_theory.
- Icosian_calculus wikiPageWikiLink Group_(mathematics).
- Icosian_calculus wikiPageWikiLink Group_presentation.
- Icosian_calculus wikiPageWikiLink Hamiltonian_circuit.
- Icosian_calculus wikiPageWikiLink Hamiltonian_path.
- Icosian_calculus wikiPageWikiLink Icosahedral_group.
- Icosian_calculus wikiPageWikiLink Icosahedral_symmetry.
- Icosian_calculus wikiPageWikiLink Icosahedron.
- Icosian_calculus wikiPageWikiLink Icosian_game.
- Icosian_calculus wikiPageWikiLink Presentation_of_a_group.
- Icosian_calculus wikiPageWikiLink Root_of_unity.
- Icosian_calculus wikiPageWikiLink Roots_of_unity.
- Icosian_calculus wikiPageWikiLink Triangle_group.
- Icosian_calculus wikiPageWikiLink Tuple.
- Icosian_calculus wikiPageWikiLink William_Rowan_Hamilton.
- Icosian_calculus wikiPageWikiLink File:Icosian_calculus_iota2.svg.
- Icosian_calculus wikiPageWikiLink File:Icosian_grid_small_with_labels2.svg.
- Icosian_calculus wikiPageWikiLinkText "Icosian calculus".
- Icosian_calculus wikiPageWikiLinkText "icosian calculus".
- Icosian_calculus wikiPageWikiLinkText "icosians".
- Icosian_calculus hasPhotoCollection Icosian_calculus.
- Icosian_calculus wikiPageUsesTemplate Template:Reflist.
- Icosian_calculus wikiPageUsesTemplate Template:Use_dmy_dates.
- Icosian_calculus subject Category:Abstract_algebra.
- Icosian_calculus subject Category:Binary_operations.
- Icosian_calculus subject Category:Graph_theory.
- Icosian_calculus subject Category:Rotational_symmetry.
- Icosian_calculus hypernym Structure.
- Icosian_calculus type Building.
- Icosian_calculus comment "The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856.In modern terms, he gave a group presentation of the icosahedral rotation group by generators and relations.Hamilton’s discovery derived from his attempts to find an algebra of "triplets" or 3-tuples that he believed would reflect the three Cartesian axes. The symbols of the icosian calculus can be equated to moves between vertices on a dodecahedron.".
- Icosian_calculus label "Icosian calculus".
- Icosian_calculus sameAs m.02p1g77.
- Icosian_calculus sameAs Икосианы.
- Icosian_calculus sameAs Q5986733.
- Icosian_calculus sameAs Q5986733.
- Icosian_calculus wasDerivedFrom Icosian_calculus?oldid=558111846.
- Icosian_calculus depiction Icosian_grid_small_with_labels2.svg.
- Icosian_calculus isPrimaryTopicOf Icosian_calculus.