Unfolding the Tesseract

Journal of Recreational Mathematics, Vol. 171, 1984-85. In 1966, Martin Gardner asked, How many different order-8 polycubes can be produced by unfolding a hollow hypercube into 3-space? 1, stating also that he did not know the answer. There are 261 distinct unfoldings and in this article I will show how I arrived at that number. The method given for enumerating unfolded tesseracts can be extended to any number of dimensions. Ill first demonstrate the method on the cube, and then on the tesseract.

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Peter D. Turney

I am a scientist who works in the areas of computational linguistics. On this site you will find information about my work.

Lews Garage Youre in the shop

So this is the preferred and usual method of teaching.

Peter D. Turney

I am a scientist who works in the areas of computational linguistics. On this site you will find information about my work.

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Unfolding the Tesseract

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Journal of Recreational Mathematics, Vol. 171, 1984-85. In 1966, Martin Gardner asked, How many different order-8 polycubes can be produced by unfolding a hollow hypercube into 3-space? 1, stating also that he did not know the answer. There are 261 distinct unfoldings and in this article I will show how I arrived at that number. The method given for enumerating unfolded tesseracts can be extended to any number of dimensions. Ill first demonstrate the method on the cube, and then on the tesseract.

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The web page unfolding.apperceptual.com states the following, "Journal of Recreational Mathematics, Vol." I saw that the website also stated " In 1966, Martin Gardner asked, How many different order-8 polycubes can be produced by unfolding a hollow hypercube into 3-space? 1, stating also that he did not know the answer." They also said " There are 261 distinct unfoldings and in this article I will show how I arrived at that number. The method given for enumerating unfolded tesseracts can be extended to any number of dimensions. Ill first demonstrate the method on the cube, and then on the tesseract."

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