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This class contains functions defined on quasi-regular tetrahedra. Some of these functions are also available as functions on a general simplex in the class taylorSimplex. The version here have been customized for quasi-regular tetrahedra. Much more general functions can be built up by taking linear combinations of these, using the operator overloading on addition and scalar multiplication for taylorFunctions.
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Thomas C. Hales
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const taylorFunction dih,dih2,dih3, sol,rad2, gamma, vor, quo;
dih,dih2,dih3 are the dihedral angles of a quasi-regular
tetrahedron along the first three edges.
sol is the solid angle,
gamma, gamma1,gamma32 are the functions
gamma - L zeta pt solid, where L = 0,1,3.2, respectively, and
gamma is the compression of the quasi-regular tetrahedron.
The functions vor, vor1, and vor32 are the
functions vor - L zetap pt solid, where L = 0,1,3.2, respectively,
and vor is the analytic voronoi function on the quasi-regular
tetrahedron.
The function rad2 is the circumradius squared of a quasi-regular
tetrahedrdon.
Also, quo is the quoin of a single Rogers simplex R=R(a,b,c),
a = y1/2, b=eta(y1,y2,y3), c = 1.255.
static const taylorFunction dih,dih2,dih3, sol,rad2, gamma, vor, quo;
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