3D objects

Approaches to geometric modeling

  • Points, lines, planes
  • surfaces
  • solids

external image ai-3d.jpg


This is a picture of an cylinder :)

Cylinder surface of Height H, Radius R
x= R cos(t)
y= R sin(t)
z= t1

A 3D object is represented by lists of vertices, edges, and faces
A tetrahedron consists of
    • 4 faces
    • each face has 3 edges
Math Terms




Out[1]=
external image O_1.gif


how to represent 3D Ojects

Solids are represented by a tree of simple primitives combined using booleanset operators
  • Union
  • Subtraction
  • Intersection

Solid cylinder
x= t2 cos(t)
y= t2 sin(t)
z= t1

Solid Primitives
  • Block
  • Cylinder
  • Cone
  • Sphere
  • Wedge
  • Torus
http://www.rense.com/RodinAerodynamics_files/toroid_color.gif
http://www.rense.com/RodinAerodynamics_files/toroid_color.gif