>Did you know if you make a 4x4 matrix where the columns are the (x,y,z,1) vertices of a tetrahedron, the rows of its inverse are the coefficients of the plane

>Did you know if you make a 4x4 matrix where the columns are the (x,y,z,1) vertices of a tetrahedron, the rows of its inverse are the coefficients of the plane equations of the faces of that tetrahedron? You can also use the adjoins. Geometry is fun. Nice! And it's pretty easy to see why: - in homogenous coordinates the plane equation is just dot(point, plane) = 0 - for every column (i.e. point) of a 4D matrix, exactly 3 rows (i.e. planes) of its inverse will have a dot product of 0