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

277^th place

3arxiv.org

69^th place

59^th place

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

1kevingong.com

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)..

kevingong.com

Kevin Gong's enumeration of polycubes

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.