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

12doi.org

2^nd place

8books.google.com

3^rd place

5ams.org

451^st place

277^th place

2wolfram.com

513^th place

537^th place

2harvard.edu

18^th place

17^th place

2jstor.org

26^th place

20^th place

2archive.org

6^th place

1semanticscholar.org

11^th place

8^th place

1zbmath.org

1,923^rd place

1,068^th place

1arxiv.org

69^th place

59^th place

1doskey.com

low place

ams.org (Global: 451^st place; English: 277^th place)

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.
Thuswaldner, Jörg; Zhang, Shu-qin (2020). "On self-affine tiles whose boundary is a sphere". Transactions of the American Mathematical Society. 373 (1): 491–527. arXiv:1811.06718. doi:10.1090/tran/7930. MR 4042883.
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 (Global: 6^th place; English: 6^th place)

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.

scholar.archive.org

Chieh, C. (November 1979). "The Archimedean truncated octahedron, and packing of geometric units in cubic crystal structures". Acta Crystallographica Section A. 35 (6). International Union of Crystallography (IUCr): 946–952. Bibcode:1979AcCrA..35..946C. doi:10.1107/s0567739479002114.

arxiv.org (Global: 69^th place; English: 59^th place)

Thuswaldner, Jörg; Zhang, Shu-qin (2020). "On self-affine tiles whose boundary is a sphere". Transactions of the American Mathematical Society. 373 (1): 491–527. arXiv:1811.06718. doi:10.1090/tran/7930. MR 4042883.

books.google.com (Global: 3^rd place; English: 3^rd place)

Diudea, M. V. (2018). Multi-shell Polyhedral Clusters. Carbon Materials: Chemistry and Physics. Vol. 10. 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 (Global: 2^nd place; English: 2^nd place)

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. Carbon Materials: Chemistry and Physics. Vol. 10. 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.
Chieh, C. (November 1979). "The Archimedean truncated octahedron, and packing of geometric units in cubic crystal structures". Acta Crystallographica Section A. 35 (6). International Union of Crystallography (IUCr): 946–952. Bibcode:1979AcCrA..35..946C. doi:10.1107/s0567739479002114.
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.
Budden, Frank (December 1985). "Cayley graphs for some well-known groups". The Mathematical Gazette. 69 (450). JSTOR: 271–278. doi:10.2307/3617571. JSTOR 3617571.
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.
Thuswaldner, Jörg; Zhang, Shu-qin (2020). "On self-affine tiles whose boundary is a sphere". Transactions of the American Mathematical Society. 373 (1): 491–527. arXiv:1811.06718. doi:10.1090/tran/7930. MR 4042883.
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.
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 (Global: low place; English: low place)

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

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Chieh, C. (November 1979). "The Archimedean truncated octahedron, and packing of geometric units in cubic crystal structures". Acta Crystallographica Section A. 35 (6). International Union of Crystallography (IUCr): 946–952. Bibcode:1979AcCrA..35..946C. doi:10.1107/s0567739479002114.
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 (Global: 26^th place; English: 20^th place)

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.
Budden, Frank (December 1985). "Cayley graphs for some well-known groups". The Mathematical Gazette. 69 (450). JSTOR: 271–278. doi:10.2307/3617571. JSTOR 3617571.

semanticscholar.org (Global: 11^th place; English: 8^th place)

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 (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)

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.

Truncated octahedron (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

archive.org

scholar.archive.org

arxiv.org (Global: 69th place; English: 59th place)

books.google.com (Global: 3rd place; English: 3rd place)

doi.org (Global: 2nd place; English: 2nd place)