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


[back]

3.42. Pillow shape

[next]

The pillow shape [ 8 ] is represented by the following equations.

 

x = cos(u)

3-141

 

y = cos(v)

3-142

 

z = a sin(u) sin(v)

3-143

The constant a determines 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, pi]

 
 

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

 

Since the pillow shape is a closed figure, the definition range must be adhered to exactly, it cannot be changed with the plugin.


Fig. 46


[back] [Table of contents] [next]

Original text