math handbook calculator - Fractional Calculus Computer Algebra System software DrHuang.com | list | math | function | coding | graphics | example | help | ? | 中文
+ + + =


[back]

3.44. horn

[next]

The horn [ 8 ] is represented by the following equations.

 

x = (a + u cos(v)) sin(b pi u)

3-147

 

y = (a + u cos(v)) cos(b pi u) + cu

3-148

 

z = u sin(v)

3-149

The constants a, b and c determine the appearance of the figure.

To represent the area, the two parameters u and v can assume the following values ​​(domain of definition), for example.

 

u is an element from the set of numbers [0, 1]

 
 

v is an element from the number set [-pi, pi]

 

The domain of definition cannot be changed in the plugin.
The plugin creates an optimized mesh without duplicate points and unconnected polygons.


Fig. 48


[back] [Table of contents] [next]

Original text