Last Updated September 20, 2010

Part A

  1. Draw a torus.
  2. Modify the code to give every vertex an appropriate normal (see code below).
  3. Add code to place a light source above the torus and give the torus a shiny appearance. Run this application for an example.
  4. Compile and Execute.
    5. //==============================================
//Parametric Eqn. of a Torus
//==============================================

//R=major radius
//r=minor radius
//u = parameter around 'Big' circle (0 -> 2PI)
//v = parameter around 'Small' circle (0 -> 2PI)

vertexX=((R+r*cos(u))*cos(v));
vertexY=(r*sin(u));
vertexZ=((R+r*cos(u))*sin(v));


// compute normal for this vertex
//(this formula only works for tori!)
normalX=vertexX-(R*cos(v));
normalY=vertexY;
normalZ=vertexZ-(R*sin(v));

Part B

  1. Animate the scene so that the torus rotates but the light source is stationary.
  2. Compile and Execute.

© Ken Power 1996-2016