About: 71 knot

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In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven. It is the simplest torus knot after the trefoil and cinquefoil.

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  • In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven. It is the simplest torus knot after the trefoil and cinquefoil. (en)
  • Na Teoria dos nós, o nó 7,1, também é conhecido como o nó septafoil. O nó 7,1, ou nó toral (7, 2), é um dos sete nós primos com sete cruzamentos. É o mais simples nó toral após o trevo e o nó 5,1. O nó 71 é inversível , mas não ambiquiral. Seu polinômio de Alexandre é: seu polinômio de Conway é: e o seu polinômio de Jones é: (pt)
  • У теорії вузлів вузол 71, також відомий як семилисник або (7, 2)-торичний вузол, є одним із семи простих вузлів з числом перетинів сім. Це найпростіший торичний вузол після трилисника і перстача. (uk)
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dbp:abNotation
  • 71 (xsd:integer)
dbp:alternating
  • alternating (en)
dbp:arfInvariant
  • 0 (xsd:integer)
dbp:braidLength
  • 7 (xsd:integer)
dbp:braidNumber
  • 2 (xsd:integer)
dbp:bridgeNumber
  • 2 (xsd:integer)
dbp:class
  • torus (en)
dbp:conwayNotation
  • [7] (en)
dbp:crosscapNumber
  • 1 (xsd:integer)
dbp:crossingNumber
  • 7 (xsd:integer)
dbp:dowkerNotation
  • 8101214246 (xsd:decimal)
dbp:fibered
  • fibered (en)
dbp:genus
  • 3 (xsd:integer)
dbp:hyperbolicVolume
  • 0 (xsd:integer)
dbp:lastCrossing
  • 6 (xsd:integer)
dbp:lastOrder
  • 3 (xsd:integer)
dbp:name
  • 71.0
dbp:nextCrossing
  • 7 (xsd:integer)
dbp:nextOrder
  • 2 (xsd:integer)
dbp:prime
  • prime (en)
dbp:stickNumber
  • 9 (xsd:integer)
dbp:symmetry
  • reversible (en)
dbp:unknottingNumber
  • 3 (xsd:integer)
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rdfs:comment
  • In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven. It is the simplest torus knot after the trefoil and cinquefoil. (en)
  • Na Teoria dos nós, o nó 7,1, também é conhecido como o nó septafoil. O nó 7,1, ou nó toral (7, 2), é um dos sete nós primos com sete cruzamentos. É o mais simples nó toral após o trevo e o nó 5,1. O nó 71 é inversível , mas não ambiquiral. Seu polinômio de Alexandre é: seu polinômio de Conway é: e o seu polinômio de Jones é: (pt)
  • У теорії вузлів вузол 71, також відомий як семилисник або (7, 2)-торичний вузол, є одним із семи простих вузлів з числом перетинів сім. Це найпростіший торичний вузол після трилисника і перстача. (uk)
rdfs:label
  • 71 knot (en)
  • Nó 7,1 (pt)
  • Вузол 71 (uk)
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