CS 285: SOLID MODELING

Lecture #6 -- Mo, Feb. 6, 2006.


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Warm-up Exercise: What is the Symmetry Group of these Objects ?

Brain teaser: -- Why does an ordinary wall mirror reverse left and right, but not up and down ?


Visualization of Symmetry Groups Using Shape Generator Programs

Understanding Chart I:  with "Sculpture Generator I"

7 families of rotational groups based on the 7 friezes wrapped around a cylinder: Cn, Dn, S2n, Dnd, Cnh, Cnv. Dnh.

Understanding Chart II:  with "Escher Sphere Editor"

7 groups of "really 3D" symmetries based on the Platonic and Archimedean solids.

From a Graphical Design to a Realizable 3D Solid Part

On the example of Escher tiles:
Just partitioning the sphere surface in a graphical manner is not enough:

Representations for Solid Modeling

Many possible concerns -- many possible items on the wish-list:
What are the building blocks for these representations ?
How do we know that we have a viable, consistent SOLID model ?


New Homework Assignment#4:

Pick your FIVE favorite papers for in-class presentation from the handed-out collection.
(This is your opportunity to influence the contents and focus of this course offering.)

Due Wednesday 2/8/2006.


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