171 (number)

171 (disambiguation) 171 1, 3, 9, 19, 57, 171 171 (one hundred [and] seventy-one) is the natural number following 170 and preceding 172. In mathematics 171 is the 18th triangular numberA000217 Triangular numbers and a Jacobsthal number.A001045 Jacobsthal sequence There are 171 transitive relations on three labeled elements,A006905 Number of transitive relations on n labeled nodes and 171 combinatorially distinct ways of subdividing a cuboid by flat cuts into a mesh of tetrahedra, without adding extra vertices. Pellerin Jeanne Verhetsel Kilian Remacle Jean-François 1801.01288 December 2018 10.1145/3272127.3275037 6 ACM Transactions on Graphics 1–9 There are 174 subdivisions of the hexahedron into tetrahedra 37 54136193 The diagonals of a regular decagon meet at 171 points, including both crossings and the vertices of the decagon.A007569 Number of nodes in regular n-gon with all diagonals drawn There are 171 faces and edges in the 57-cell, an abstract 4-polytope with hemi-dodecahedral cells that is its own dual polytope.McMullen Peter Peter McMullen Schulte Egon Egon Schulte 10.1017/CBO9780511546686 0-521-81496-0 1965665 185–186, 502 Cambridge University Press Cambridge Encyclopedia of Mathematics and its Applications Abstract Regular Polytopes https://books.google.com/books?id=JfmlMYe6MJgC&pg=PA185 92 2002 115688843 Within moonshine theory of sporadic groups, the friendly giant is defined as having cyclic groups ⟨ ⟩ that are linked with the function, ∈ where is the character of at . This generates 171 moonshine groups within associated with that are principal moduli for different genus zero congruence groups commensurable with the projective linear group .Conway John John Horton Conway Mckay John John McKay (mathematician) Sebbar Abdellah On the Discrete Groups of Moonshine https://www.ams.org/journals/proc/2004-132-08/S0002-9939-04-07421-0/S0002-9939-04-07421-0.pdf Proceedings of the American Mathematical Society 132 8 2004 2233 10.1090/S0002-9939-04-07421-0 free 1088-6826 4097448 54828343 See also 171 References 1 Category:Integers