False, Boxed Ø FalseD Simplex ne = 880, 0, 0<, 80, 1, 0<<; ine = Line@v3LineD; Graphics3D@

[email protected], EdgeForm@BlackD, Thick, segLine, Sphere@v3Line@@1DD, rD, Sphere@v3Line@@2DD, rD< ê. r Ø 1 ê 2, Axes Ø False, Boxed Ø FalseD 3 - Simplex v3TriEq = 881, 0, 0<, 80, Sqrt@3D, 0<, 8-1, 0, 0<<; triEquilateral = 8Thick, Polygon@v3TriEqD<; Ballz.nb [348]:= Graphics3D@

[email protected], EdgeForm@BlackD, triEquilateral, Sphere@v3TriEq@@1DD, rD, Sphere@v3TriEq@@2DD, rD, Sphere@v3TriEq@@3DD, rD< ê. r Ø 1, Axes Ø False, Boxed Ø FalseD ut[348]= 4 - Simplex BarryBallz.nb 3 354]:= Graphics3D@

[email protected], EdgeForm@BlackD, PolyhedronData@"Tetrahedron", "Faces"D, Sphere@PolyhedronData@"Tetrahedron", "VertexCoordinates"D@@1DD, rD, Sphere@PolyhedronData@"Tetrahedron", "VertexCoordinates"D@@2DD, rD, Sphere@PolyhedronData@"Tetrahedron", "VertexCoordinates"D@@3DD, rD, Sphere@PolyhedronData@"Tetrahedron", "VertexCoordinates"D@@4DD, rD< ê. r Ø 1 ê 2, Axes Ø False, Boxed Ø FalseD ut[354]= BarryBallz.nb Point: d = 0 → 0-simplex Line: d = 1 → 1-simplex Triangle (equilateral): d = 2 → 2-simplex (Used to deﬁne Barry3) Tetrahedron: d = 3 → 3-simplex c 2008 Performance Dynamics Better Visualization Tools April 1, 2008 23 / 34