Net An unfolding of a polytope is called a net. There are 261 distinct nets of the tesseract. The unfoldings of the tesseract can be counted by mapping the nets to paired trees (a tree together with a perfect matching in its complement).
net aN uNFOldiNg oF A polytOpe is Called a Net. there are 261 diStincT nets of the tesseraCt. THE UNfoLDingS OF thE TEssEraCt CaN be coUnTed BY MapPing the neTs to paired trEEs (A TRee tOGEther With A PerFECt MaTChIng iN Its coMpLemeNt).