Lacing

Lacing is a general term describing the process of connecting two or more unconnected polytopes with additional, typically simpler, polytopes. This includes, but is not limited to: duopyramids, duoprisms, duotegums, (and normal prisms, pyramids, tegums) duocombs, antiprisms, and cupolas. Lacing may also appear describing the constructions of expansions, elongations, and gyroelongations.

Lacing may also remove the original laced polytopes like in many tegum products, and keep their facets, which then get connected. Some polytopes have multiple ways to think of their lacings.