var tetMatrices=[[[-1., 0., 0.], [0., -1., 0.], [0., 0., 1.]], [[-0.5, -0.5, -0.70711], [0.5, 0.5, -0.70711], [0.70711, -0.70711, 0.]], [[-0.5, -0.5, 0.70711], [0.5, 0.5, 0.70711], [-0.70711, 0.70711, 0.]], [[-0.5, 0.5, -0.70711], [-0.5, 0.5, 0.70711], [0.70711, 0.70711, 0.]], [[-0.5, 0.5, 0.70711], [-0.5, 0.5, -0.70711], [-0.70711, -0.70711, 0.]], [[0., -1., 0.], [-1., 0., 0.], [0., 0., -1.]], [[0., 1., 0.], [1., 0., 0.], [0., 0., -1.]], [[0.5, -0.5, -0.70711], [0.5, -0.5, 0.70711], [-0.70711, -0.70711, 0.]], [[0.5, -0.5, 0.70711], [0.5, -0.5, -0.70711], [0.70711, 0.70711, 0.]], [[0.5, 0.5, -0.70711], [-0.5, -0.5, -0.70711], [-0.70711, 0.70711, 0.]], [[0.5, 0.5, 0.70711], [-0.5, -0.5, 0.70711], [0.70711, -0.70711, 0.]], [[1., 0., 0.], [0., 1., 0.], [0., 0., 1.]]]; var tetAxes2=[[0., 0., 1.], [0.70711, -0.70711, 0.], [0.70711, 0.70711, 0.]]; var tetAxes3=[[0., 0.8165, -0.57735], [0., 0.8165, 0.57735], [0.8165, 0., -0.57735], [0.8165, 0., 0.57735]]; var octMatrices=[[[-1., 0., 0.], [0., -1., 0.], [0., 0., 1.]], [[-1., 0., 0.], [0., 0., -1.], [0., -1., 0.]], [[-1., 0., 0.], [0., 0., 1.], [0., 1., 0.]], [[-1., 0., 0.], [0., 1., 0.], [0., 0., -1.]], [[0., -1., 0.], [-1., 0., 0.], [0., 0., -1.]], [[0., -1., 0.], [0., 0., -1.], [1., 0., 0.]], [[0., -1., 0.], [0., 0., 1.], [-1., 0., 0.]], [[0., -1., 0.], [1., 0., 0.], [0., 0., 1.]], [[0., 0., -1.], [-1., 0., 0.], [0., 1., 0.]], [[0., 0., -1.], [0., -1., 0.], [-1., 0., 0.]], [[0., 0., -1.], [0., 1., 0.], [1., 0., 0.]], [[0., 0., -1.], [1., 0., 0.], [0., -1., 0.]], [[0., 0., 1.], [-1., 0., 0.], [0., -1., 0.]], [[0., 0., 1.], [0., -1., 0.], [1., 0., 0.]], [[0., 0., 1.], [0., 1., 0.], [-1., 0., 0.]], [[0., 0., 1.], [1., 0., 0.], [0., 1., 0.]], [[0., 1., 0.], [-1., 0., 0.], [0., 0., 1.]], [[0., 1., 0.], [0., 0., -1.], [-1., 0., 0.]], [[0., 1., 0.], [0., 0., 1.], [1., 0., 0.]], [[0., 1., 0.], [1., 0., 0.], [0., 0., -1.]], [[1., 0., 0.], [0., -1., 0.], [0., 0., -1.]], [[1., 0., 0.], [0., 0., -1.], [0., 1., 0.]], [[1., 0., 0.], [0., 0., 1.], [0., -1., 0.]], [[1., 0., 0.], [0., 1., 0.], [0., 0., 1.]]]; var octAxes2=[[0., 0., 1.], [0., 0.70711, -0.70711], [0., 1., 0.], [0., 0.70711, 0.70711], [0.70711, -0.70711, 0.], [0.70711, 0., -0.70711], [1., 0., 0.], [0.70711, 0., 0.70711], [0.70711, 0.70711, 0.]]; var octAxes3=[[0.57735, -0.57735, -0.57735], [0.57735, -0.57735, 0.57735], [0.57735, 0.57735, -0.57735], [0.57735, 0.57735, 0.57735]]; var octAxes4=[[0., 0., 1.], [0., 1., 0.], [1., 0., 0.]]; var icoMatrices=[[[-1., 0., 0.], [0., -1., 0.], [0., 0., 1.]], [[-1., 0., 0.], [0., 1., 0.], [0., 0., -1.]], [[-0.5, -0.80902, -0.30902], [-0.80902, 0.30902, 0.5], [-0.30902, 0.5, -0.80902]], [[-0.5, -0.80902, -0.30902], [0.80902, -0.30902, -0.5], [0.30902, -0.5, 0.80902]], [[-0.5, -0.80902, 0.30902], [-0.80902, 0.30902, -0.5], [0.30902, -0.5, -0.80902]], [[-0.5, -0.80902, 0.30902], [0.80902, -0.30902, 0.5], [-0.30902, 0.5, 0.80902]], [[-0.5, 0.80902, -0.30902], [-0.80902, -0.30902, 0.5], [0.30902, 0.5, 0.80902]], [[-0.5, 0.80902, -0.30902], [0.80902, 0.30902, -0.5], [-0.30902, -0.5, -0.80902]], [[-0.5, 0.80902, 0.30902], [-0.80902, -0.30902, -0.5], [-0.30902, -0.5, 0.80902]], [[-0.5, 0.80902, 0.30902], [0.80902, 0.30902, 0.5], [0.30902, 0.5, -0.80902]], [[0., -1., 0.], [0., 0., -1.], [1., 0., 0.]], [[0., -1., 0.], [0., 0., 1.], [-1., 0., 0.]], [[0., 0., -1.], [-1., 0., 0.], [0., 1., 0.]], [[0., 0., -1.], [1., 0., 0.], [0., -1., 0.]], [[0., 0., 1.], [-1., 0., 0.], [0., -1., 0.]], [[0., 0., 1.], [1., 0., 0.], [0., 1., 0.]], [[0., 1., 0.], [0., 0., -1.], [-1., 0., 0.]], [[0., 1., 0.], [0., 0., 1.], [1., 0., 0.]], [[0.5, -0.80902, -0.30902], [-0.80902, -0.30902, -0.5], [0.30902, 0.5, -0.80902]], [[0.5, -0.80902, -0.30902], [0.80902, 0.30902, 0.5], [-0.30902, -0.5, 0.80902]], [[0.5, -0.80902, 0.30902], [-0.80902, -0.30902, 0.5], [-0.30902, -0.5, -0.80902]], [[0.5, -0.80902, 0.30902], [0.80902, 0.30902, -0.5], [0.30902, 0.5, 0.80902]], [[0.5, 0.80902, -0.30902], [-0.80902, 0.30902, -0.5], [-0.30902, 0.5, 0.80902]], [[0.5, 0.80902, -0.30902], [0.80902, -0.30902, 0.5], [0.30902, -0.5, -0.80902]], [[0.5, 0.80902, 0.30902], [-0.80902, 0.30902, 0.5], [0.30902, -0.5, 0.80902]], [[0.5, 0.80902, 0.30902], [0.80902, -0.30902, -0.5], [-0.30902, 0.5, -0.80902]], [[1., 0., 0.], [0., -1., 0.], [0., 0., -1.]], [[1., 0., 0.], [0., 1., 0.], [0., 0., 1.]], [[-0.80902, -0.30902, -0.5], [-0.30902, -0.5, 0.80902], [-0.5, 0.80902, 0.30902]], [[-0.80902, -0.30902, -0.5], [0.30902, 0.5, -0.80902], [0.5, -0.80902, -0.30902]], [[-0.80902, -0.30902, 0.5], [-0.30902, -0.5, -0.80902], [0.5, -0.80902, 0.30902]], [[-0.80902, -0.30902, 0.5], [0.30902, 0.5, 0.80902], [-0.5, 0.80902, -0.30902]], [[-0.80902, 0.30902, -0.5], [-0.30902, 0.5, 0.80902], [0.5, 0.80902, -0.30902]], [[-0.80902, 0.30902, -0.5], [0.30902, -0.5, -0.80902], [-0.5, -0.80902, 0.30902]], [[-0.80902, 0.30902, 0.5], [-0.30902, 0.5, -0.80902], [-0.5, -0.80902, -0.30902]], [[-0.80902, 0.30902, 0.5], [0.30902, -0.5, 0.80902], [0.5, 0.80902, 0.30902]], [[-0.30902, -0.5, -0.80902], [-0.5, 0.80902, -0.30902], [0.80902, 0.30902, -0.5]], [[-0.30902, -0.5, -0.80902], [0.5, -0.80902, 0.30902], [-0.80902, -0.30902, 0.5]], [[-0.30902, -0.5, 0.80902], [-0.5, 0.80902, 0.30902], [-0.80902, -0.30902, -0.5]], [[-0.30902, -0.5, 0.80902], [0.5, -0.80902, -0.30902], [0.80902, 0.30902, 0.5]], [[-0.30902, 0.5, -0.80902], [-0.5, -0.80902, -0.30902], [-0.80902, 0.30902, 0.5]], [[-0.30902, 0.5, -0.80902], [0.5, 0.80902, 0.30902], [0.80902, -0.30902, -0.5]], [[-0.30902, 0.5, 0.80902], [-0.5, -0.80902, 0.30902], [0.80902, -0.30902, 0.5]], [[-0.30902, 0.5, 0.80902], [0.5, 0.80902, -0.30902], [-0.80902, 0.30902, -0.5]], [[0.30902, -0.5, -0.80902], [-0.5, -0.80902, 0.30902], [-0.80902, 0.30902, -0.5]], [[0.30902, -0.5, -0.80902], [0.5, 0.80902, -0.30902], [0.80902, -0.30902, 0.5]], [[0.30902, -0.5, 0.80902], [-0.5, -0.80902, -0.30902], [0.80902, -0.30902, -0.5]], [[0.30902, -0.5, 0.80902], [0.5, 0.80902, 0.30902], [-0.80902, 0.30902, 0.5]], [[0.30902, 0.5, -0.80902], [-0.5, 0.80902, 0.30902], [0.80902, 0.30902, 0.5]], [[0.30902, 0.5, -0.80902], [0.5, -0.80902, -0.30902], [-0.80902, -0.30902, -0.5]], [[0.30902, 0.5, 0.80902], [-0.5, 0.80902, -0.30902], [-0.80902, -0.30902, 0.5]], [[0.30902, 0.5, 0.80902], [0.5, -0.80902, 0.30902], [0.80902, 0.30902, -0.5]], [[0.80902, -0.30902, -0.5], [-0.30902, 0.5, -0.80902], [0.5, 0.80902, 0.30902]], [[0.80902, -0.30902, -0.5], [0.30902, -0.5, 0.80902], [-0.5, -0.80902, -0.30902]], [[0.80902, -0.30902, 0.5], [-0.30902, 0.5, 0.80902], [-0.5, -0.80902, 0.30902]], [[0.80902, -0.30902, 0.5], [0.30902, -0.5, -0.80902], [0.5, 0.80902, -0.30902]], [[0.80902, 0.30902, -0.5], [-0.30902, -0.5, -0.80902], [-0.5, 0.80902, -0.30902]], [[0.80902, 0.30902, -0.5], [0.30902, 0.5, 0.80902], [0.5, -0.80902, 0.30902]], [[0.80902, 0.30902, 0.5], [-0.30902, -0.5, 0.80902], [0.5, -0.80902, -0.30902]], [[0.80902, 0.30902, 0.5], [0.30902, 0.5, -0.80902], [-0.5, 0.80902, 0.30902]]]; var icoAxes=[[0., 0., 1.], [0., 1., 0.], [1., 0., 0.], [0.30902, -0.5, -0.80902], [0.30902, -0.5, 0.80902], [0.30902, 0.5, -0.80902], [0.30902, 0.5, 0.80902], [0.5, -0.80902, -0.30902], [0.5, -0.80902, 0.30902], [0.80902, -0.30902, -0.5], [0.80902, -0.30902, 0.5], [0.80902, 0.30902, -0.5], [0.80902, 0.30902, 0.5], [0.5, 0.80902, -0.30902], [0.5, 0.80902, 0.30902]]; var icoAxes=[[0., 0.35682, -0.93417], [0., 0.35682, 0.93417], [0.57735, -0.57735, -0.57735], [0.57735, -0.57735, 0.57735], [0.57735, 0.57735, -0.57735], [0.57735, 0.57735, 0.57735], [0.35682, -0.93417, 0.], [0.35682, 0.93417, 0.], [0.93417, 0., -0.35682], [0.93417, 0., 0.35682]]; var icoAxes=[[0., 0.85065, -0.52573], [0., 0.85065, 0.52573], [0.52573, 0., -0.85065], [0.52573, 0., 0.85065], [0.85065, -0.52573, 0.], [0.85065, 0.52573, 0.]]; var tetV=[[0., -0.8165, 0.57735], [0., 0.8165, 0.57735], [-0.8165, 0., -0.57735], [0.8165, 0., -0.57735]]; var cubeoctV=[[0., -0.70711, -0.70711], [0., -0.70711, 0.70711], [0., 0.70711, -0.70711], [0., 0.70711, 0.70711], [-0.70711, 0., -0.70711], [-0.70711, 0., 0.70711], [-0.70711, -0.70711, 0.], [-0.70711, 0.70711, 0.], [0.70711, 0., -0.70711], [0.70711, 0., 0.70711], [0.70711, -0.70711, 0.], [0.70711, 0.70711, 0.]]; var cubeV=[[-0.57735, -0.57735, -0.57735], [-0.57735, -0.57735, 0.57735], [-0.57735, 0.57735, -0.57735], [-0.57735, 0.57735, 0.57735], [0.57735, -0.57735, -0.57735], [0.57735, -0.57735, 0.57735], [0.57735, 0.57735, -0.57735], [0.57735, 0.57735, 0.57735]]; var octV=[[-1., 0., 0.], [0., -1., 0.], [0., 0., -1.], [0., 0., 1.], [0., 1., 0.], [1., 0., 0.]]; var icosadodecaV=[[-1., 0., 0.], [-0.5, -0.80902, -0.30902], [-0.5, -0.80902, 0.30902], [-0.5, 0.80902, -0.30902], [-0.5, 0.80902, 0.30902], [0., -1., 0.], [0., 0., -1.], [0., 0., 1.], [0., 1., 0.], [0.5, -0.80902, -0.30902], [0.5, -0.80902, 0.30902], [0.5, 0.80902, -0.30902], [0.5, 0.80902, 0.30902], [1., 0., 0.], [-0.80902, -0.30902, -0.5], [-0.80902, -0.30902, 0.5], [-0.80902, 0.30902, -0.5], [-0.80902, 0.30902, 0.5], [-0.30902, -0.5, -0.80902], [-0.30902, -0.5, 0.80902], [-0.30902, 0.5, -0.80902], [-0.30902, 0.5, 0.80902], [0.30902, -0.5, -0.80902], [0.30902, -0.5, 0.80902], [0.30902, 0.5, -0.80902], [0.30902, 0.5, 0.80902], [0.80902, -0.30902, -0.5], [0.80902, -0.30902, 0.5], [0.80902, 0.30902, -0.5], [0.80902, 0.30902, 0.5]]; var dodecaV=[[0., -0.35682, -0.93417], [0., -0.35682, 0.93417], [0., 0.35682, -0.93417], [0., 0.35682, 0.93417], [-0.35682, -0.93417, 0.], [-0.35682, 0.93417, 0.], [0.35682, -0.93417, 0.], [0.35682, 0.93417, 0.], [-0.93417, 0., -0.35682], [-0.93417, 0., 0.35682], [0.93417, 0., -0.35682], [0.93417, 0., 0.35682], [-0.57735, 0.57735, 0.57735], [-0.57735, 0.57735, -0.57735], [-0.57735, -0.57735, 0.57735], [-0.57735, -0.57735, -0.57735], [0.57735, 0.57735, 0.57735], [0.57735, 0.57735, -0.57735], [0.57735, -0.57735, 0.57735], [0.57735, -0.57735, -0.57735]]; var icosaV=[[0., 0.85065, -0.52573], [0., 0.85065, 0.52573], [0., -0.85065, -0.52573], [0., -0.85065, 0.52573], [-0.52573, 0., 0.85065], [-0.52573, 0., -0.85065], [0.52573, 0., 0.85065], [0.52573, 0., -0.85065], [0.85065, -0.52573, 0.], [0.85065, 0.52573, 0.], [-0.85065, -0.52573, 0.], [-0.85065, 0.52573, 0.]];