Polycube (English Wikipedia)

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

refsWebsite

Global rank English rank

5doi.org

2^nd place

4ams.org

451^st place

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3arxiv.org

69^th place

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3semanticscholar.org

11^th place

8^th place

2wolfram.com

513^th place

537^th place

2harvard.edu

18^th place

17^th place

1recmath.org

low place

1combinatorics.org

low place

1jstor.org

26^th place

20^th place

1andrewwinslow.com

low place

1psu.edu

207^th place

136^th place

1carleton.ca

9,843^rd place

7,079^th place

1handle.net

102^nd place

76^th place

ams.org

mathscinet.ams.org

Turney, Peter (1984), "Unfolding the tesseract", Journal of Recreational Mathematics, 17 (1): 1–16, MR 0765344.
Bagchi, Amitabha; Bhargava, Ankur; Chaudhary, Amitabh; Eppstein, David; Scheideler, Christian (2006), "The effect of faults on network expansion", Theory of Computing Systems, 39 (6): 903–928, arXiv:cs/0404029, doi:10.1007/s00224-006-1349-0, MR 2279081, S2CID 9332443. See in particular Lemma 3.9, p. 924, which states a generalization of this boundary connectivity property to higher-dimensional polycubes.
Barequet, Ronnie; Barequet, Gill; Rote, Günter (2010), "Formulae and growth rates of high-dimensional polycubes", Combinatorica, 30 (3): 257–275, CiteSeerX 10.1.1.217.7661, doi:10.1007/s00493-010-2448-8, MR 2728490, S2CID 18571788.
Aloupis, Greg; Bose, Prosenjit K.; Collette, Sébastien; Demaine, Erik D.; Demaine, Martin L.; Douïeb, Karim; Dujmović, Vida; Iacono, John; Langerman, Stefan; Morin, Pat (2011), "Common unfoldings of polyominoes and polycubes", Computational geometry, graphs and applications (PDF), Lecture Notes in Comput. Sci., vol. 7033, Springer, Heidelberg, pp. 44–54, doi:10.1007/978-3-642-24983-9_5, hdl:1721.1/73836, MR 2927309.

andrewwinslow.com

Langerman, Stefan; Winslow, Andrew (2016), "Polycube unfoldings satisfying Conway's criterion" (PDF), 19th Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG^3 2016).

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
Diaz, Giovanna; O'Rourke, Joseph (2015), Hypercube unfoldings that tile $\mathbb {R} ^{3}$ and $\mathbb {R} ^{2}$ , arXiv:1512.02086, Bibcode:2015arXiv151202086D.
Bagchi, Amitabha; Bhargava, Ankur; Chaudhary, Amitabh; Eppstein, David; Scheideler, Christian (2006), "The effect of faults on network expansion", Theory of Computing Systems, 39 (6): 903–928, arXiv:cs/0404029, doi:10.1007/s00224-006-1349-0, MR 2279081, S2CID 9332443. See in particular Lemma 3.9, p. 924, which states a generalization of this boundary connectivity property to higher-dimensional polycubes.

carleton.ca

cg.scs.carleton.ca

Aloupis, Greg; Bose, Prosenjit K.; Collette, Sébastien; Demaine, Erik D.; Demaine, Martin L.; Douïeb, Karim; Dujmović, Vida; Iacono, John; Langerman, Stefan; Morin, Pat (2011), "Common unfoldings of polyominoes and polycubes", Computational geometry, graphs and applications (PDF), Lecture Notes in Comput. Sci., vol. 7033, Springer, Heidelberg, pp. 44–54, doi:10.1007/978-3-642-24983-9_5, hdl:1721.1/73836, MR 2927309.

combinatorics.org

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

doi.org

Kemp, Martin (1 January 1998), "Dali's dimensions", Nature, 391 (27): 27, Bibcode:1998Natur.391...27K, doi:10.1038/34063
Fowler, David (2010), "Mathematics in Science Fiction: Mathematics as Science Fiction", World Literature Today, 84 (3): 48–52, doi:10.1353/wlt.2010.0188, JSTOR 27871086, S2CID 115769478, 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)..
Bagchi, Amitabha; Bhargava, Ankur; Chaudhary, Amitabh; Eppstein, David; Scheideler, Christian (2006), "The effect of faults on network expansion", Theory of Computing Systems, 39 (6): 903–928, arXiv:cs/0404029, doi:10.1007/s00224-006-1349-0, MR 2279081, S2CID 9332443. See in particular Lemma 3.9, p. 924, which states a generalization of this boundary connectivity property to higher-dimensional polycubes.
Barequet, Ronnie; Barequet, Gill; Rote, Günter (2010), "Formulae and growth rates of high-dimensional polycubes", Combinatorica, 30 (3): 257–275, CiteSeerX 10.1.1.217.7661, doi:10.1007/s00493-010-2448-8, MR 2728490, S2CID 18571788.
Aloupis, Greg; Bose, Prosenjit K.; Collette, Sébastien; Demaine, Erik D.; Demaine, Martin L.; Douïeb, Karim; Dujmović, Vida; Iacono, John; Langerman, Stefan; Morin, Pat (2011), "Common unfoldings of polyominoes and polycubes", Computational geometry, graphs and applications (PDF), Lecture Notes in Comput. Sci., vol. 7033, Springer, Heidelberg, pp. 44–54, doi:10.1007/978-3-642-24983-9_5, hdl:1721.1/73836, MR 2927309.

handle.net

hdl.handle.net

Aloupis, Greg; Bose, Prosenjit K.; Collette, Sébastien; Demaine, Erik D.; Demaine, Martin L.; Douïeb, Karim; Dujmović, Vida; Iacono, John; Langerman, Stefan; Morin, Pat (2011), "Common unfoldings of polyominoes and polycubes", Computational geometry, graphs and applications (PDF), Lecture Notes in Comput. Sci., vol. 7033, Springer, Heidelberg, pp. 44–54, doi:10.1007/978-3-642-24983-9_5, hdl:1721.1/73836, MR 2927309.

harvard.edu

ui.adsabs.harvard.edu

Kemp, Martin (1 January 1998), "Dali's dimensions", Nature, 391 (27): 27, Bibcode:1998Natur.391...27K, doi:10.1038/34063
Diaz, Giovanna; O'Rourke, Joseph (2015), Hypercube unfoldings that tile $\mathbb {R} ^{3}$ and $\mathbb {R} ^{2}$ , arXiv:1512.02086, Bibcode:2015arXiv151202086D.

jstor.org

Fowler, David (2010), "Mathematics in Science Fiction: Mathematics as Science Fiction", World Literature Today, 84 (3): 48–52, doi:10.1353/wlt.2010.0188, JSTOR 27871086, S2CID 115769478, 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)..

psu.edu

citeseerx.ist.psu.edu

Barequet, Ronnie; Barequet, Gill; Rote, Günter (2010), "Formulae and growth rates of high-dimensional polycubes", Combinatorica, 30 (3): 257–275, CiteSeerX 10.1.1.217.7661, doi:10.1007/s00493-010-2448-8, MR 2728490, S2CID 18571788.

recmath.org

Polycubes, at The Poly Pages

semanticscholar.org

api.semanticscholar.org

Fowler, David (2010), "Mathematics in Science Fiction: Mathematics as Science Fiction", World Literature Today, 84 (3): 48–52, doi:10.1353/wlt.2010.0188, JSTOR 27871086, S2CID 115769478, 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)..
Bagchi, Amitabha; Bhargava, Ankur; Chaudhary, Amitabh; Eppstein, David; Scheideler, Christian (2006), "The effect of faults on network expansion", Theory of Computing Systems, 39 (6): 903–928, arXiv:cs/0404029, doi:10.1007/s00224-006-1349-0, MR 2279081, S2CID 9332443. See in particular Lemma 3.9, p. 924, which states a generalization of this boundary connectivity property to higher-dimensional polycubes.
Barequet, Ronnie; Barequet, Gill; Rote, Günter (2010), "Formulae and growth rates of high-dimensional polycubes", Combinatorica, 30 (3): 257–275, CiteSeerX 10.1.1.217.7661, doi:10.1007/s00493-010-2448-8, MR 2728490, S2CID 18571788.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Polycube." From MathWorld
Aarts, Ronald M. "Pentacube". From MathWorld.