Simplex Simplex Picking

Author

Eric W. Weisstein
December 15, 2025

This notebook downloaded from https://mathworld.wolfram.com/notebooks/ComputationalGeometry/SimplexSimplexPicking.nb.

For more information, see Eric's MathWorld entry https://mathworld.wolfram.com/SimplexSimplexPicking.html.

©2025 Wolfram Research, Inc. except for portions noted otherwise

Cases

V(1,n)

FullSimplify[1-2/(n+1)]

Table[((-1+n)/(1+n)),{n,20}]

Through[{Numerator,Denominator}[%]]

V(2,n)

1-2/(n+1) Sum[1/k,{k,n}]

Table[1-((2 HarmonicNumber[n])/(1+n)),{n,15}]

Through[{Numerator,Denominator}[%]]