This week I’ve been following up some of the mathematical physics seen in the paper Background independence in a nutshell: the dynamics of a tetrahedron. I have have been looking at how sagemath and python handle polyhedra.
So I’ve written a sagemath program to simulate the dynamics of the classical tetrahedon:
As a sagemath program this gives:
Typical results are tabulated below showing the behaviour long times T, as theta C tends to 90 degrees.
As part of this work of been developing some python functions in particular a function which will produce the equation of a plane through three points . This is especially useful for finding the dihedral angle in polyhedra.
- Background independence in a nutshell: the dynamics of a tetrahedron by Rovelli et al (quantumtetrahedron.wordpress.com)