Shap3d43.dat, 43rd 'shape' file for CPO3D

Sectors of a cone, by users equation.

For information on the option for users equations, see users equations.

Here the cone lies along the z axis, and has a radius of r = 5 at z = a, and a radius of R = 15 at z = a + l.

The equations, say g1(x,y,z), for the inner circular edge are

x = r*cos(phi), y = r*sin(phi), z = a.

The equations, say g2(x,y,z), for the outer square edge are

x = R*cos(phi), y = R*sin(phi), z = a+l.

2 symmetry planes are in use here, and phi goes from 30 to 60 degrees.

In the usual fashion we can combine these by using the general equation

g(x,y,z) = (1 - f)*g1 + f*g2,

where f goes from 0 to 1.

This reproduces g1 when f = 0, and g2 when f = 1.

The 30 degree sector is reflected twice to produce 4 sectors.

The equations, as they appear in the data file, are:

f 0 1 name of variable number 1 and its limits

phi 0.523599 1.047198 name of variable number 2 and its limits

r 5 name of parameter number 1 and its fixed value

R 15 name of parameter number 2 and its fixed value

a 1 name of parameter number 3 and its fixed value

l 10 name of parameter number 4 and its fixed value

(r*(1-f)+R*f)*cos(phi)

(r*(1-f)+R*f)*sin(phi)

a+l*f

1 1 numbers of 2 applied voltages (can be same)

10 10 numbers of subdivisions of variables 1 and 2

(The program has corrected the less accurate values that were entered for pi/6 etc.)