Question

Build a positive Cartesian coordinate system in the space so that the $Oz$ axis is orthogonal to the unit triangle and goes through the centroid

score 121 · Answer 1 · 2026-03-25 13:56:20

121

Views

Build a positive Cartesian coordinate system in the space so that the $Oz$ axis is orthogonal to the unit triangle and goes through the centroid

Published on 25 Mar 2026 - 13:56

score 31 · Answer 2 · 2026-05-10 09:26:19

31

Views

Direction of position vectors

Published on 10 May 2026 - 9:26

score 227 · Answer 3 · 2026-03-25 13:55:14

227

Views

A problem of collinearity - is it appropriate to use barycentric coordinates?

Published on 25 Mar 2026 - 13:55

score 115 · Answer 4 · 2026-03-25 13:59:08

115

Views

Nine point center in barycentric coordinates

Published on 25 Mar 2026 - 13:59

score 712 · Answer 5 · 2026-03-25 13:53:13

712

Views

Derive Barycentric coordinate distance formula

Published on 25 Mar 2026 - 13:53

score 1.1k · Answer 6 · 2026-03-25 13:54:45

1.1k

Views

Decompose a cube into tetrahedra (more than one way)?

Published on 25 Mar 2026 - 13:54

score 56 · Answer 7 · 2026-03-25 13:57:57

56

Views

Prove $c\vec{u}+d\vec{v}+e\vec{w}$ with $c,d,e\in[0,1]$ and $c+d+e\leq1$ represent the tetrahedron formed by the given vectors

Published on 25 Mar 2026 - 13:57

score 255 · Answer 8 · 2026-03-25 13:59:46

255

Views

How to handle degenerate triangles in barycentric calculations.

Published on 25 Mar 2026 - 13:59

score 526 · Answer 9 · 2026-03-25 13:55:23

526

Views

What is the relation between the barycentric coordinates of a point and triangle's area?

Published on 25 Mar 2026 - 13:55

score 172 · Answer 10 · 2026-03-25 13:54:11

172

Views

Barycentric equation for polar wrt circumcircle

Published on 25 Mar 2026 - 13:54

score 41 · Answer 11 · 2026-03-25 13:51:51

41

Views

Barycentric coordinates doubt?

Published on 25 Mar 2026 - 13:51

score 188 · Answer 12 · 2026-03-25 13:59:34

188

Views

Does Viviani's theorem hold on higher dimensions?

Published on 25 Mar 2026 - 13:59

score 687 · Answer 13 · 2026-03-25 14:00:34

687

Views

Transform line equation with barycentric coordinates

Published on 25 Mar 2026 - 14:00

score 983 · Answer 14 · 2026-03-25 13:51:40

983

Views

Integration over a triangular region using barycentric coordinantes?

Published on 25 Mar 2026 - 13:51

score 210 · Answer 15 · 2026-03-25 13:59:45

210

Views

How can I describe a triangle or tetrahedron with barycentric coordinates?

Published on 25 Mar 2026 - 13:59

List Question

Build a positive Cartesian coordinate system in the space so that the $Oz$ axis is orthogonal to the unit triangle and goes through the centroid

Direction of position vectors

A problem of collinearity - is it appropriate to use barycentric coordinates?

Nine point center in barycentric coordinates

Derive Barycentric coordinate distance formula

Decompose a cube into tetrahedra (more than one way)?

Prove $c\vec{u}+d\vec{v}+e\vec{w}$ with $c,d,e\in[0,1]$ and $c+d+e\leq1$ represent the tetrahedron formed by the given vectors

How to handle degenerate triangles in barycentric calculations.

What is the relation between the barycentric coordinates of a point and triangle's area?

Barycentric equation for polar wrt circumcircle

Barycentric coordinates doubt?

Does Viviani's theorem hold on higher dimensions?

Transform line equation with barycentric coordinates

Integration over a triangular region using barycentric coordinantes?

How can I describe a triangle or tetrahedron with barycentric coordinates?

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