Polycube (French Wikipedia)

Analysis of information sources in references of the Wikipedia article "Polycube" in French language version.

refsWebsite

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1combinatorics.org

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ams.org

Peter Turney, Unfolding the tesseract, vol. 17, 1984, 1–16 p. (MR 765344), chap. 1.
Amitabha Bagchi, Ankur Bhargava, Amitabh Chaudhary, David Eppstein et Christian Scheideler, The effect of faults on network expansion, vol. 39, 2006, 903–928 p. (DOI 10.1007/s00224-006-1349-0, MR 2279081, arXiv cs/0404029), chap. 6.
Ronnie Barequet, Gill Barequet et Günter Rote, Formulae and growth rates of high-dimensional polycubes, vol. 30, 2010, 257–275 p. (DOI 10.1007/s00493-010-2448-8, MR 2728490), chap. 3.
Greg Aloupis, Prosenjit K. Bose, Sébastien Collette, Erik D. Demaine, Martin L. Demaine, Karim Douïeb, Vida Dujmović, John Iacono, Stefan Langerman et Pat Morin, Computational geometry, graphs and applications, vol. 7033, Springer, Heidelberg, coll. « Lecture Notes in Comput. Sci. », 2011, 44–54 p. (DOI 10.1007/978-3-642-24983-9_5, MR 2927309).

arxiv.org

"Dirichlet convolution and enumeration of pyramid polycubes", C. Carré, N. Debroux, M. Deneufchâtel, J. Dubernard, C. Hillairet, J. Luque, O. Mallet; November 19, 2013 PDF
Giovanna Diaz et Joseph O'Rourke, Hypercube unfoldings that tile $\mathbb {R} ^{3}$ and $\mathbb {R} ^{2}$ (Bibcode 2015arXiv151202086D, arXiv 1512.02086).
Amitabha Bagchi, Ankur Bhargava, Amitabh Chaudhary, David Eppstein et Christian Scheideler, The effect of faults on network expansion, vol. 39, 2006, 903–928 p. (DOI 10.1007/s00224-006-1349-0, MR 2279081, arXiv cs/0404029), chap. 6.

combinatorics.org

"Enumeration of Specific Classes of Polycubes", Jean-Marc Champarnaud et al, Université de Rouen, France PDF

doi.org

dx.doi.org

Martin Kemp, Dali's dimensions, vol. 391, 1^er janvier 1998 (DOI 10.1038/34063, Bibcode 1998Natur.391...27K), chap. 27.
Amitabha Bagchi, Ankur Bhargava, Amitabh Chaudhary, David Eppstein et Christian Scheideler, The effect of faults on network expansion, vol. 39, 2006, 903–928 p. (DOI 10.1007/s00224-006-1349-0, MR 2279081, arXiv cs/0404029), chap. 6.
Ronnie Barequet, Gill Barequet et Günter Rote, Formulae and growth rates of high-dimensional polycubes, vol. 30, 2010, 257–275 p. (DOI 10.1007/s00493-010-2448-8, MR 2728490), chap. 3.
Greg Aloupis, Prosenjit K. Bose, Sébastien Collette, Erik D. Demaine, Martin L. Demaine, Karim Douïeb, Vida Dujmović, John Iacono, Stefan Langerman et Pat Morin, Computational geometry, graphs and applications, vol. 7033, Springer, Heidelberg, coll. « Lecture Notes in Comput. Sci. », 2011, 44–54 p. (DOI 10.1007/978-3-642-24983-9_5, MR 2927309).

harvard.edu

ui.adsabs.harvard.edu

Martin Kemp, Dali's dimensions, vol. 391, 1^er janvier 1998 (DOI 10.1038/34063, Bibcode 1998Natur.391...27K), chap. 27.
Giovanna Diaz et Joseph O'Rourke, Hypercube unfoldings that tile $\mathbb {R} ^{3}$ and $\mathbb {R} ^{2}$ (Bibcode 2015arXiv151202086D, arXiv 1512.02086).

jstor.org

David Fowler, Mathematics in Science Fiction : Mathematics as Science Fiction, vol. 84, 2010, 48–52 p. (JSTOR 27871086), chap. 3

« Robert Heinlein's "And He Built a Crooked House," published in 1940, and Martin Gardner's "The No-Sided Professor," published in 1946, are among the first in science fiction to introduce readers to the Moebius band, the Klein bottle, and the hypercube (tesseract). »

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oeis.org

Number of 3-dimensional polyominoes (or polycubes) with n cells.

recmath.org

Polycubes, at The Poly Pages

smith.edu

science.smith.edu

Problem 64: Edge-Unfolding Polycubes

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Polycube." From MathWorld
Ronald M. Aarts, « Pentacube », sur MathWorld (consulté le 1^er juillet 2024).