Computer Aided Engineering Design

264 COMPUTER AIDED ENGINEERING DESIGN

Operator VEFL SG Result

MSFV +1 + 1 + 1 + 1

MEV +1 +1

MEV +1 +1

MEV +1 +1

MEV +1 +1

MEV +1 +1

MFE +1 +1 +1

(Top face made)

MEV +1 + 1

(Bottom face made)

Example 8.2. Construct a cube using the Euler operators.
Following are the operations for constructing a cube afresh. Vertices and edges added are shown
in thick and faces added are shaded. Note however that, in general, the intermediate results may not
be topologically valid polyhedra though we expect the final result to be one.