taylorQrtet

A library of static functions of a quasi-regular tetrahedron S

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Class Summary

class taylorQrtet

{

public:
static const taylorFunction dih,dih2,dih3, sol,rad2, gamma, vor, quo;
protected:
}; // taylorQrtet

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OVERVIEW TEXT

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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AUTHOR

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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All Members

public:
static const taylorFunction dih,dih2,dih3, sol,rad2, gamma, vor, quo;
protected:

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Ancestors

Class does not inherit from any other class.

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Descendants

Class is not inherited by any others.

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