Chapter 6: Rotating Shapes
Table Of Contents
Chapter 6: Rotating Shapes
Understanding Rotated Coordinate Systems
Figure 6.1
An airplane and its coordinate system
Figure 6.2a
An airplane's coordinate system tilted up. Compare with Figures 6.2b and c
Figure 6.2b
An airplane's coordinate system turned to the side. Compare with Figures 6.2a and c
Figure 6.2c
An airplane's coordinate system banked on its side. Compare with Figures 6.2a and b
Specifying Rotation Angles
Figure 6.3a
The right-hand rule to determine a positive/negative rotation angle around the X axis. Compare with Figures 6.3b and c
Figure 6.3b
The right-hand rule to determine a positive/negative rotation angle around the Y axis. Compare with Figures 6.3a and c
Figure 6.3c
The right-hand rule to determine a positive/negative rotation angle around the Z axis. Compare with Figures 6.3a and b
Specifying a Rotation Center
The Transform Node Syntax
Experimenting with Rotation
Rotating in Different Directions
Figure 6.4b
Rotating 45.0 degrees about the X axis and building a cone
Figure 6.5b
Rotating -45.0 degrees about the X axis and building a cone
Figure 6.6b
Rotating 45.0 degrees about the Y axis and building a cone
Figure 6.7b
Rotating -45.0 degrees about the Z axis and building a box
Constructing Multiple Rotated Coordinate Systems
Figure 6.8
A 3-D asterisk created with cylinders built within one vertical and two rotated coordinate systems
Nesting Rotated Coordinate Systems
Figure 6.9
A 3-D asterisk ball built with cylinders in rotated coordinate systems
Translating and Rotating Coordinate Systems
Figure 6.10
An archway with pieces of the roof built within translated, rotated coordinate systems
Rotating About a Center Point
Figure 6.11
The lower arm of a desk lamp, rotated using a center of rotation at the lower end of the arm
Figure 6.12
The first and second arms of the desk lamp, each rotated using a center of rotation at the lower end of each arm