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bitruncation

n. (context mathematics English) An operation on a regular polytope in which every edge is lost and every face is reduced in size

Wikipedia
Bitruncation

In geometry, a bitruncation is an operation on regular polytopes. It represents a truncation beyond rectification. The original edges are lost completely and the original faces remain as smaller copies of themselves.

Bitruncated regular polytopes can be represented by an extended Schläfli symbol notation t{p,q,...} or 2t{p,q,...}.