Robotics
Circuit Design
Medicine
Glass Melting
Robotics and the Cycloheptane Molecule - The Heptagon

Equations for the vectors

  • (a1, a2) = (a2, a3) = ... = (a6, a7) = (a7, a1) = c

  • (a1, a1) = (a2, a2) = ... = (a7, a7) = 1

  • a1 + a2 + ... + a7 = 0

Here,   c = cos(alpha)   and   ( , )   is the scalar product.

For c = 0 : equations for the configuration space of a robot.
For c = 1/3 : equations for the configurationspace of a molecule.

KL, 06/03 http://www.singular.uni-kl.de