Editing Pascal's triangle (section)

===Construction of Clifford algebra using simplices===
Labelling the elements of each n-simplex matches the basis elements of [[Clifford algebra]] used as forms in [[Geometric algebra|Geometric Algebra]] rather than matrices. Recognising the geometric operations, such as rotations, allows the algebra operations to be discovered. Just as each row, {{mvar|n}}, starting at 0, of Pascal's triangle corresponds to an {{mvar|(n-1)}}-simplex, as described below, it also defines the number of named basis forms in {{mvar|n}} dimensional [[Geometric algebra]]. The [[binomial theorem]] can be used to prove the geometric relationship provided by Pascal's triangle.<ref>{{citation |url=https://github.com/GPWilmot/geoalg|title=The Algebra Of Geometry|year=2023|last=Wilmot|first=G.P.}}</ref> This same proof could be applied to simplices except that the first column of all 1's must be ignored whereas in the algebra these correspond to the real numbers, <math>\R</math>, with basis 1.