Here’s an example of a motor in PGA3D creating a spiral of triangles.

A motor is a multivector that combines a rotor (specifies a 3D rotation) with a translator (specifies, naturally enough, a 3D translation). You can then apply this multivector to another to do both at the same time. Clojure's `iterate` is a pleasure here:

(take steps (iterate (fn [s] (map #(transform % motor) s)) shape))

#geometer