Theorems · Definition · geometry

Affine.Simplex.medial

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_3} →
      [inst : DivisionRing k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] →
            [inst_3 : AddTorsor V P] → {n : ℕ} → [NeZero n] → [CharZero k] → Affine.Simplex k P n → Affine.Simplex k P n

The medial is the simplex formed by centroids on all faces.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid

Cited by

7 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleAddTorsorNeZeroCharZero