1.C. Initiators and Generators

The Sierpinski gasket

The initiator is a filled-in triangle, the generator the shape on the right.
Click the initiator on the left to see successive iterates of the rule.
Note with iteration, the shape appears to change less and less; there is a sense in which the shapes converge to a limiting shape.
This limiting shape is called the Sierpinski gasket.

Return to Initiators and Generators.