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Unfolding the Tesseract

Journal of Recreational Mathematics, Vol. 17(1), 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. I'll first demonstrate the method on the cube, and then on the tesseract.

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Unfolding the Tesseract | unfolding.apperceptual.com Reviews
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Journal of Recreational Mathematics, Vol. 17(1), 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. I'll first demonstrate the method on the cube, and then on the tesseract.
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1 sitemap
2 unfolding the tesseract
3 peter turney
4 introduction
5 the cube
6 nodes and n
7 figure 1
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9 figure 3
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sitemap,unfolding the tesseract,peter turney,introduction,the cube,nodes and n,figure 1,figure 2,figure 3,figure 4,figure 5,figure 6,figure 7,the tesseract,figure 8,figure 9,conclusion,acknowledgements,references,recent site activity,report abuse
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Unfolding the Tesseract | unfolding.apperceptual.com Reviews

https://unfolding.apperceptual.com

Journal of Recreational Mathematics, Vol. 17(1), 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. I'll first demonstrate the method on the cube, and then on the tesseract.

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Feb 13, 2016, 2:36 PM. Peter Turney edited Home. Feb 13, 2016, 2:14 PM. Peter Turney edited Home. Feb 13, 2016, 2:08 PM. Peter Turney edited Home. Feb 13, 2016, 2:07 PM. Peter Turney edited Home. Feb 13, 2016, 1:19 PM. Peter Turney edited Home. Feb 13, 2016, 1:18 PM. Peter Turney edited Home. Feb 13, 2016, 1:17 PM. Peter Turney edited Home. Feb 13, 2016, 1:17 PM. Peter Turney edited Home. Feb 13, 2016, 1:15 PM. Peter Turney edited Home. Feb 13, 2016, 1:15 PM. Peter Turney edited Home. May 2, 2012, 9:59 AM.

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Math | Lew's Garage

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You're in the shop. Skip to primary content. Skip to secondary content. April 12, 2016. Because … just look at the guy! Looks like a regular barrel of monkeys! He is the namesake of Faulhaber’s Formula, although he did not formulate it, as Wikipedia points out, but he more than laid the groundwork, I think anyone would agree. I had presented this rule in graphical form as :. Showing an N by N 1 rectangle divided into 2 pieces, each representing. The sum of 1 thru 5. 8230; ) we get this result:. All this ...

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April | 2015 | Lew's Garage

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You're in the shop. Skip to primary content. Skip to secondary content. Monthly Archives: April 2015. Unfolding the 5-cube with grep notation. April 18, 2015. Maybe somebody’s already done this, but not as far as I know! Article has a link to a 1984 article in the Journal of Recreational Mathematics, Unfolding the Tesseract. It occurred to me that I could generate all the unfoldings by repeatedly applying this pivot operation wherever possible. Thinking of all this, I wrote a program to generate all the ...

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Lew | Lew's Garage

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You're in the shop. Skip to primary content. Skip to secondary content. Lifetime science geek. 'Nuf said. April 12, 2016. Because … just look at the guy! Looks like a regular barrel of monkeys! He is the namesake of Faulhaber’s Formula, although he did not formulate it, as Wikipedia points out, but he more than laid the groundwork, I think anyone would agree. I had presented this rule in graphical form as :. Showing an N by N 1 rectangle divided into 2 pieces, each representing. The sum of 1 thru 5.

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Unfolding the 5-cube with grep notation | Lew's Garage

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You're in the shop. Skip to primary content. Skip to secondary content. Unfolding the 5-cube with grep notation. April 18, 2015. Maybe somebody’s already done this, but not as far as I know! Article has a link to a 1984 article in the Journal of Recreational Mathematics, Unfolding the Tesseract. It occurred to me that I could generate all the unfoldings by repeatedly applying this pivot operation wherever possible. Thinking of all this, I wrote a program to generate all the unfoldings of the tesseract by...

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Tesseract - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Tesseract

From Wikipedia, the free encyclopedia. For other uses, see Tesseract (disambiguation). 4,3,2} or {4,3} { }. 4,2,4} or {4} {4}. 4,2,2} or {4} { } { }. 2,2,2} or { } { } { } { }. 8 ( 44.4. Analog of the cube. The tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of six square faces. The hypersurface of the tesseract consists of eight cubical cells. The tesseract is one of the six convex regular 4-polytopes. The tesseract is also called an 8-cell. It can be name...

en.wikipedia.org en.wikipedia.org

Tesseract - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Tessaract

From Wikipedia, the free encyclopedia. For other uses, see Tesseract (disambiguation). 4,3,2} or {4,3} { }. 4,2,4} or {4} {4}. 4,2,2} or {4} { } { }. 2,2,2} or { } { } { } { }. 8 ( 44.4. Analog of the cube. The tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of six square faces. The hypersurface of the tesseract consists of eight cubical cells. The tesseract is one of the six convex regular 4-polytopes. The tesseract is also called an 8-cell. It can be name...

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Mathematics - Peter D. Turney

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Peter D. Turney. Turney, P.D. (2007), Empirical Evaluation of Four Tensor Decomposition Algorithms. National Research Council, Institute for Information Technology, Technical Report ERB-1152. Turney, P.D. (1986), Laws of form and finite automata. International Journal of General Systems. 12 (4), September, pp. 307-318. Turney, P.D. (1984), Unfolding the tesseract. Journal of Recreational Mathematics. 17 (1), November, pp. 1-16.

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All Publications - Peter D. Turney

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Peter D. Turney. Turney, P.D. (2006), Method and apparatus for automatically identifying keywords within a document. Canadian Patent 2,236,623. Turney, P.D. (2002), Method and apparatus for automatically identifying keywords within a document. United States Patent 6,470,307. Turney, P.D., and Mohammad, S.M. (2015), Experiments with three approaches to recognizing lexical entailment. 21 (3), 437-476. Journal of the Association for Information Science and Technology (JASIST). 66 (2), 408-427. Turney, P&#46...

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Mathematics - Peter D. Turney

http://nova.apperceptual.com/mathematics

Peter D. Turney. Turney, P.D. (2007), Empirical Evaluation of Four Tensor Decomposition Algorithms. National Research Council, Institute for Information Technology, Technical Report ERB-1152. Turney, P.D. (1986), Laws of form and finite automata. International Journal of General Systems. 12 (4), September, pp. 307-318. Turney, P.D. (1984), Unfolding the tesseract. Journal of Recreational Mathematics. 17 (1), November, pp. 1-16.

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Jay Sutherland, fanned his face with his hat, ‘damn it, this place is hot! 8217; he thought. He had arrived in tent city a few weeks ago; Jay had been promoted to the rank of sergeant after receiving a recommendation from Major. John Dickerson, a man whom Jay was sure had hated him from the day Jay had first arrived at his previous billing, but that was the way of the corps. Always has and always will be. On the day Jay had arrived he had stowed his gear and then headed off to meet Lt Jacobs. The trainin...

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Unfolding the Tesseract

Journal of Recreational Mathematics, Vol. 17(1), 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. I'll first demonstrate the method on the cube, and then on the tesseract.

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