Truncated octahedron (English Wikipedia)

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

refsWebsite

Global rank English rank

10doi.org

2^nd place

8books.google.com

3^rd place

4ams.org

451^st place

277^th place

2wolfram.com

513^th place

537^th place

2harvard.edu

18^th place

17^th place

2nih.gov

4^th place

1archive.org

6^th place

1semanticscholar.org

11^th place

8^th place

1zbmath.org

1,923^rd place

1,068^th place

1jstor.org

26^th place

20^th place

1worldcat.org

5^th place

1doskey.com

low place

ams.org

mathscinet.ams.org

Berman, Martin (1971). "Regular-faced convex polyhedra". Journal of the Franklin Institute. 291 (5): 329–352. doi:10.1016/0016-0032(71)90071-8. MR 0290245.
Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603.
Erdahl, R. M. (1999). "Zonotopes, dicings, and Voronoi's conjecture on parallelohedra". European Journal of Combinatorics. 20 (6): 527–549. doi:10.1006/eujc.1999.0294. MR 1703597.. Voronoi conjectured that all tilings of higher dimensional spaces by translates of a single convex polytope are combinatorially equivalent to Voronoi tilings, and Erdahl proves this in the special case of zonotopes. But as he writes (p. 429), Voronoi's conjecture for dimensions at most four was already proven by Delaunay. For the classification of three-dimensional parallelohedra into these five types, see Grünbaum, Branko; Shephard, G. C. (1980). "Tilings with congruent tiles". Bulletin of the American Mathematical Society. New Series. 3 (3): 951–973. doi:10.1090/S0273-0979-1980-14827-2. MR 0585178.
Borovik, Alexandre V.; Borovik, Anna (2010), "Exercise 14.4", Mirrors and Reflections, Universitext, New York: Springer, p. 109, doi:10.1007/978-0-387-79066-4, ISBN 978-0-387-79065-7, MR 2561378

archive.org

Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. p. 78. ISBN 978-0-486-23729-9.

books.google.com

Diudea, M. V. (2018). Multi-shell Polyhedral Clusters. Springer. p. 39. doi:10.1007/978-3-319-64123-2. ISBN 978-3-319-64123-2.
Koca, M.; Koca, N. O. (2013). "Coxeter groups, quaternions, symmetries of polyhedra and 4D polytopes". Mathematical Physics: Proceedings of the 13th Regional Conference, Antalya, Turkey, 27–31 October 2010. World Scientific. p. 48.
Johnson, Tom; Jedrzejewski, Franck (2014). Looking at Numbers. Springer. p. 15. doi:10.1007/978-3-0348-0554-4. ISBN 978-3-0348-0554-4.
Alexandrov, A. D. (2005). "8.1 Parallelohedra". Convex Polyhedra. Springer. pp. 349–359.
Jensen, Patrick M.; Trinderup, Camilia H.; Dahl, Anders B.; Dahl, Vedrana A. (2019). "Zonohedral Approximation of Spherical Structuring Element for Volumetric Morphology". In Felsberg, Michael; Forssén, Per-Erik; Sintorn, Ida-Maria; Unger, Jonas (eds.). Image Analysis: 21st Scandinavian Conference, SCIA 2019, Norrköping, Sweden, June 11–13, 2019, Proceedings. Springer. p. 131–132. doi:10.1007/978-3-030-20205-7. ISBN 978-3-030-20205-7.
Yen, Teh F. (2007). Chemical Processes for Environmental Engineering. Imperial College Press. p. 338. ISBN 978-1-86094-759-9.
Mizutani, Uichiro (2001). Introduction to the Electron Theory of Metals. Cambridge University Press. p. 112. ISBN 978-0-521-58709-9.
Borovik, Alexandre V.; Borovik, Anna (2010), "Exercise 14.4", Mirrors and Reflections, Universitext, New York: Springer, p. 109, doi:10.1007/978-0-387-79066-4, ISBN 978-0-387-79065-7, MR 2561378

doi.org

Berman, Martin (1971). "Regular-faced convex polyhedra". Journal of the Franklin Institute. 291 (5): 329–352. doi:10.1016/0016-0032(71)90071-8. MR 0290245.
Diudea, M. V. (2018). Multi-shell Polyhedral Clusters. Springer. p. 39. doi:10.1007/978-3-319-64123-2. ISBN 978-3-319-64123-2.
Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603.
Johnson, Tom; Jedrzejewski, Franck (2014). Looking at Numbers. Springer. p. 15. doi:10.1007/978-3-0348-0554-4. ISBN 978-3-0348-0554-4.
Crisman, Karl-Dieter (2011). "The Symmetry Group of the Permutahedron". The College Mathematics Journal. 42 (2): 135–139. doi:10.4169/college.math.j.42.2.135. JSTOR college.math.j.42.2.135.
Erdahl, R. M. (1999). "Zonotopes, dicings, and Voronoi's conjecture on parallelohedra". European Journal of Combinatorics. 20 (6): 527–549. doi:10.1006/eujc.1999.0294. MR 1703597.. Voronoi conjectured that all tilings of higher dimensional spaces by translates of a single convex polytope are combinatorially equivalent to Voronoi tilings, and Erdahl proves this in the special case of zonotopes. But as he writes (p. 429), Voronoi's conjecture for dimensions at most four was already proven by Delaunay. For the classification of three-dimensional parallelohedra into these five types, see Grünbaum, Branko; Shephard, G. C. (1980). "Tilings with congruent tiles". Bulletin of the American Mathematical Society. New Series. 3 (3): 951–973. doi:10.1090/S0273-0979-1980-14827-2. MR 0585178.
Jensen, Patrick M.; Trinderup, Camilia H.; Dahl, Anders B.; Dahl, Vedrana A. (2019). "Zonohedral Approximation of Spherical Structuring Element for Volumetric Morphology". In Felsberg, Michael; Forssén, Per-Erik; Sintorn, Ida-Maria; Unger, Jonas (eds.). Image Analysis: 21st Scandinavian Conference, SCIA 2019, Norrköping, Sweden, June 11–13, 2019, Proceedings. Springer. p. 131–132. doi:10.1007/978-3-030-20205-7. ISBN 978-3-030-20205-7.
Schein, S.; Gayed, J. M. (2014). "Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses". Proceedings of the National Academy of Sciences. 111 (8): 2920–2925. Bibcode:2014PNAS..111.2920S. doi:10.1073/pnas.1310939111. ISSN 0027-8424. PMC 3939887. PMID 24516137.
Perez-Gonzalez, F.; Balado, F.; Martin, J.R.H. (2003). "Performance analysis of existing and new methods for data hiding with known-host information in additive channels". IEEE Transactions on Signal Processing. 51 (4): 960–980. Bibcode:2003ITSP...51..960P. doi:10.1109/TSP.2003.809368.
Borovik, Alexandre V.; Borovik, Anna (2010), "Exercise 14.4", Mirrors and Reflections, Universitext, New York: Springer, p. 109, doi:10.1007/978-0-387-79066-4, ISBN 978-0-387-79065-7, MR 2561378

doskey.com

Doskey, Alex. "Adventures Among the Toroids – Chapter 5 – Simplest (R)(A)(Q)(T) Toroids of genus p=1". www.doskey.com.

harvard.edu

ui.adsabs.harvard.edu

Schein, S.; Gayed, J. M. (2014). "Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses". Proceedings of the National Academy of Sciences. 111 (8): 2920–2925. Bibcode:2014PNAS..111.2920S. doi:10.1073/pnas.1310939111. ISSN 0027-8424. PMC 3939887. PMID 24516137.
Perez-Gonzalez, F.; Balado, F.; Martin, J.R.H. (2003). "Performance analysis of existing and new methods for data hiding with known-host information in additive channels". IEEE Transactions on Signal Processing. 51 (4): 960–980. Bibcode:2003ITSP...51..960P. doi:10.1109/TSP.2003.809368.

jstor.org

Crisman, Karl-Dieter (2011). "The Symmetry Group of the Permutahedron". The College Mathematics Journal. 42 (2): 135–139. doi:10.4169/college.math.j.42.2.135. JSTOR college.math.j.42.2.135.

nih.gov

ncbi.nlm.nih.gov

Schein, S.; Gayed, J. M. (2014). "Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses". Proceedings of the National Academy of Sciences. 111 (8): 2920–2925. Bibcode:2014PNAS..111.2920S. doi:10.1073/pnas.1310939111. ISSN 0027-8424. PMC 3939887. PMID 24516137.

pubmed.ncbi.nlm.nih.gov

Schein, S.; Gayed, J. M. (2014). "Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses". Proceedings of the National Academy of Sciences. 111 (8): 2920–2925. Bibcode:2014PNAS..111.2920S. doi:10.1073/pnas.1310939111. ISSN 0027-8424. PMC 3939887. PMID 24516137.

semanticscholar.org

api.semanticscholar.org

Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603.

wolfram.com

mathworld.wolfram.com

"Truncated Octahedron". Wolfram Mathworld.
Weisstein, Eric W. "Truncated octahedral graph". MathWorld.

worldcat.org

search.worldcat.org

Schein, S.; Gayed, J. M. (2014). "Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses". Proceedings of the National Academy of Sciences. 111 (8): 2920–2925. Bibcode:2014PNAS..111.2920S. doi:10.1073/pnas.1310939111. ISSN 0027-8424. PMC 3939887. PMID 24516137.

zbmath.org

Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603.