CS 294-3: RAPID PROTOTYPING

Lecture #11 -- Friday 11/6, 1998.

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Lecture Topics

Parametrization and Tessellation of Complex Surfaces

  • Are completely regular tessellations possible ?
  • How many "special" vertices do we need ?
  • Where should we hide these "special" vertices ?

    Some Current Case Studies

  • Topometric plan for the Figure-8 Klein Bottle
  • Regular Klein Bottle can use the same plan as above.
  • Topometric plan for the Steiner/Roman Surface
  • Switch to a hexagonal strut system that can be crossed more easily without physical intersections.
  • The same strut system shown in the basic triangle domain.
  • Topometric plan for the Crosscap.
  • The topology and parametrization of the Boy surface.

    Movies

  • Optimal Sphere Eversion by John Sullivan
  • How to turn a torus with 3 holes into a genus-1 Costa surface

    New Homework Assignment:
    DUE: FRIDAY 11/6/98, 9:45am.

    An STL description of a thick, transparent, nicely parameterized version of your surface -- with the bugs fixed, as close as possible ready for SFF fabrication.

    Hand in:

    Put your name on your hand-ins.

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