Revision #657 → #1567 · back to history
added0-simplex is a pointba167e3581be
added1-simplex is a line segmentaca0a96f6a36
added2-simplex is a trianglec85e41d6349e
added3-simplex is a tetrahedron451e6639b356
added4-simplex is a 5-celle0c8c5c56b52
addedk-simplexf35571dc7a2d
addedRegular simplex9eaad8fb960d
addedStandard / probability simplex317e2a89c315
addedSimplicial complex463a99c39efe
addedAbstract simplicial complex8b52540e1ab3
addedFace of a simplexfe96353a8c24
addedm-face, vertices, edges, facets4ca7114c416c
addedNumber of m-faces3e49e32324b1
addedExtended f-vector010404389ebe
addedEdge count is triangle number96d5d9ecabd3
addedFewest vertices requiring n dimensionsa88ccf11f9af
addedJoin construction6dada65f3fe7
added(−1)-simplex1ad15f8be03b
addedStandard n-simplex7e894274a525
addedSimplex in affine hyperplane14677859a4ef
addedVertices of standard n-simplex0e2304285dcf
addedStandard simplex as 0/1-polytopeb503a9feb5c6
addedCanonical map to affine simplexd39974c5b8cd
addedBarycentric coordinates4e0d6d6f388f
addedAffine n-simplex0c31cc2d637b
addedGeneralized barycentric coordinates8a76553edfef
addedSoftmax functionc4dae266dad7
addedIncreasing coordinates (indefinite sum)aba0ae1670c8
addedOrdered simplex fundamental domain, volume 1/n!9249badbe806
addedOrder-only presentation4590c504f34c
addedProjection onto standard simplex8a2cf8f30bc9
addedSimplex as corner of cube43215055124b
addedInductive construction of regular simplexa13a83dbf97c
addedTwo choices for additional vertex4202a3b28857
addedCentered unit-side-length verticese31b963d713e
addedInscribed hypersphere radius645a8cbaa279
addedInscribed in unit hyperspherefa54fb60dc95
addedSide length of unit-hypersphere simplexebe67fbb8a49
addedCyclic group construction1ccf4101d1cd
addedSufficient condition for orbit to be regular simplex0d5552dec07d
addedVolume via determinantcc7d3d588f22
addedVolume via Gram determinant0f4f5f354bbd
addedSymmetric volume formula65029e5cdd6b
addedVolume via Cayley–Menger determinant1c59d97569e7
addedParallelotope volume formulac707502d0faf
addedCube decomposition into n-path simplices6754f2d5bf32
addedGeneral parallelotope decomposition6a091bad0c55
addedVolume under standard n-simplexb69c6c903ebd
addedVolume of regular unit-side simplexd7b439a779ef
addedDihedral angle of regular simplex0303f9a1ce7f
addedn-dimensional Pythagorean theorem6bcde6dc8017
addedPythagoras and de Gua's theorem cases8fae9c7d336e
addedHasse diagram isomorphic to hypercube edges1fab926cf380
addedSimplex as vertex figure of hypercube83d203211f65
addedSimplex equivalent to n-ball9ea19e9bcc95
addedSimplex is manifold with corners4e8cf667cd76
addedSimplex as space of probability distributions103b559a522e
addedAffine homeomorphism correspondence52d380d94f65
addedAitchison geometry82d8e71c558b
addedSelf-dual compoundsb4e961238a91
addedTwo triangles form a hexagramad048dc7d7ca
addedStella octangula6265fbde0503
addedCompound of two 5-cells25c4d0aef7b0
addedSimplicial complexesf489982dfe5f
addedSimplicial homology185f096a3ac7
addedAffine k-chain180cfbc34dcc
addedBoundary of n-simplex is a chain1c37f297d305
addedBoundary of boundary is zero91eadd1d9c38
addedEmbedding into a manifold841f8d79262c
addedSingular n-simplexce152420c391
addedAlgebraic standard n-simplex6aad60cc367f
addedSimplicial object assembly662de5188c89