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There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]

Update. See also the followup question, "Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?."

There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]

Update. See also the followup question, "Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?."

There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]

Update. See also the followup question, "Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?."

Link to followup question.
Source Link
Joseph O'Rourke
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There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]

Update. See also the followup question, "Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?."

There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]

There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]

Update. See also the followup question, "Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?."

Source Link
Joseph O'Rourke
  • 150.8k
  • 36
  • 358
  • 958

3D models of the unfoldings of the hypercube?

There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the tesseract, into 3D.1 These unfoldings (or "nets") are analogous to the 11 unfoldings of the 3D cube into the plane.2 Usually only one hypercube unfolding is illustrated,


          ![TesseractUnf][1]
          (Image from [this link](http://www.mathematische-basteleien.de/hypercube.htm).)
the one made famous in Salvador Dali's painting *[Corpus Hypercubus](http://en.wikipedia.org/wiki/Crucifixion_(Corpus_Hypercubus))*. My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)


1Peter Terney, "Unfolding the Tesseract." *Journal of Recreational Mathematics*, Vol. 17(1), 1984-85.
2
![CubeNets][2]