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Tesseract
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===Net=== An unfolding of a [[polytope]] is called a [[Net (polyhedron)|net]]. There are 261 distinct nets of the tesseract.<ref>{{cite web|url=http://unfolding.apperceptual.com/|title=Unfolding an 8-cell|website=Unfolding.apperceptual.com|access-date=21 January 2018}}</ref> The unfoldings of the tesseract can be counted by mapping the nets to ''paired trees'' (a [[Tree (graph theory)|tree]] together with a [[perfect matching]] in its [[Complement graph|complement]]). Each of the 261 nets can tile 3-space.<ref>[[Matt Parker|Parker, Matt]]. [https://whuts.org/ Which Hypercube Unfoldings Tile Space?] Retrieved 2025 May 11.</ref>
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