(:nogroup:)

*Due in class October 11*

- Give the quaternion for a 90
^{o}rotation about the axis (.6,0,.8). - Apply that rotation to point (2,1,3), using quaternions.
- Use the vector formula to do the same rotation.
- Give the quaternion for a 90
^{o}rotation about the axis (.8, 0, .6). - Give the quaternion for the two previous rotations, applied in order.
- What are the axis and angle of the combined rotation?
- Give the 4x4 homogeneous matrix for a translation by (40,30,20).
- Apply it to these points: (1,1,1,1), (2,2,2,1), (2,2,2,2).
- Convert the resulting homogeneous points back to Cartesian.
- What is the homogeneous matrix to project onto the plane y=3, with the center of projection at (0,0,0)?
- Apply it to the 3 points mentioned above.
- Convert the answers back to Cartesian.
- Here are 2 straight lines in 2D, in homogeneous form:
- x+y+w=0
- x-y+w=0

- Find a homogeneous point at those lines' intersection.
- Do Angel exercise 3.25 on page 156.
- Do Antonio Ramires Fernandes's
*display list*tutorial here: http://www.lighthouse3d.com/opengl/displaylists/index.php3?1 as follows:- Download, compile, and run the no display list version, and report and number of frames per second.
- Ditto the display list version.
- Ditto the hierarchical display list version.