Sysquake Pro – Table of Contents
Sysquake for LaTeX – Table of Contents
Library - solids
Library solids implements functions which create solid shapes in 3D. Solids are generated with parametric equations and displayed with surf. When called without output argument, with an optional trailing string argument for the edge style, the solid is displayed with the current scaling and color map. With output arguments, arrays X, Y, Z expected by surf or mesh are produced. They can be modified to move, scale or stretch the solids.
The following statement makes available functions defined in solids:
use solids
Functions
cone
Cone.
Syntax
use solids cone cone(cap) cone(cap, n) cone(cap, n, style) (X, Y, Z) = cone (X, Y, Z) = cone(n)
Description
Without output argument, cone draws a cone approximated by a polyhedron. The optional first input argument, a logical value which is true by default, specifies if the cap is included. The optional second input argument, an integer, specifies the number of discrete values for the parameter which describes its surface.
By default, edges are not drawn. An optional third input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, cone produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
crosscap
Cross-cap.
Syntax
use solids crosscap crosscap(n) crosscap(n, style) (X, Y, Z) = crosscap (X, Y, Z) = crosscap(n)
Description
Without output argument, crosscap draws a cross-cap (a self-intersecting surface) approximated by a polyhedron. With an input argument, crosscap(n) draws a cross-cap where the two parameters which describe its surface are sampled with n discrete values.
By default, edges are not drawn. An optional second input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, crosscap produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
klein, klein8, sphere, sphericon, surf
cylinder
Cylinder.
Syntax
use solids cylinder cylinder(cap) cylinder(cap, n) cylinder(cap, n, style) (X, Y, Z) = cylinder (X, Y, Z) = cylinder(n)
Description
Without output argument, cylinder draws a cylinder approximated by a polyhedron. The optional first input argument, a logical value which is true by default, specifies if caps are included. The optional second input argument, an integer, specifies the number of discrete values for the parameter which describes its surface.
By default, edges are not drawn. An optional third input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, cylinder produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
cone, sphere, torus, cube, surf
klein
Klein bottle.
Syntax
use solids klein klein(p) klein(p, n) klein(p, n, style) (X, Y, Z) = ...
Description
Without output argument, klein draws a Klein bottle approximated by a polyhedron. With an input argument, klein(p) uses parameters stored in structure p. The following fields are used:
| Field | Description | Default value |
|---|---|---|
| r0 | average tube radius | 0.7 |
| d | tube variation | 0.5 |
| h | half height | 3 |
With two input arguments, klein(p,n) draws a Klein bottle where the two parameters which describe its surface are sampled with n discrete values.
By default, edges are not drawn. An optional third input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, klein produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
klein8
Figure 8 Klein bottle immersion.
Syntax
use solids klein8 klein8(r) klein8(r, n) klein8(r, n, style) (X, Y, Z) = ...
Description
Without output argument, klein8 draws a figure 8 Klein bottle immersion (a closed, self-intersecting surface with one face) approximated by a polyhedron. With an input argument, klein8(r) draws the surface with a main radius of r (the default value is 1).
With two input arguments, klein8(r,n) samples the two parameters which describe its surface with n discrete values.
By default, edges are not drawn. An optional third input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, klein8 produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
sphere
Sphere.
Syntax
use solids sphere sphere(n) sphere(n, style) (X, Y, Z) = sphere (X, Y, Z) = sphere(n)
Description
Without output argument, sphere draws a sphere approximated by a polyhedron. With an input argument, sphere(n) draws a sphere where the two parameters which describe its surface are sampled with n discrete values.
By default, edges are not drawn. An optional second input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, sphere produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
cylinder, cone, torus, cube, surf
sphericon
Sphericon.
Syntax
use solids sphericon sphericon(n) sphericon(n, style) (X, Y, Z) = sphericon (X, Y, Z) = sphericon(n)
Description
Without output argument, sphericon draws a sphericon (a 3D shape made from a bicone with a 90-degree apex, cut by a plane containing both apices, where one half is rotated by 90 degrees) approximated by a polyhedron. With an input argument, sphericon(n) draws a sphericon where the two parameters which describe its surface are sampled with n discrete values.
By default, edges are not drawn. An optional second input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, sphericon produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.
See also
torus
Torus.
Syntax
use solids torus torus(r) torus(r, n) torus(r, n, style) (X, Y, Z) = ...
Description
Without output argument, torus draws a torus approximated by a polyhedron with a main radius of 1 and a tube radius of 0.5. With an input argument, torus(r) draws a torus with tube radius r. With two input arguments, torus(r,n) draws a torus where the two parameters which describe its surface are sampled with n discrete values.
By default, edges are not drawn. An optional third input argument, a string, specifies the edge style; it corresponds to the style argument of surf.
With three output arguments, torus produces the X, Y, and Z arrays expected by surf or mesh, and it does not display anything.