Regular icosahedron (English Wikipedia)

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

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Borovik 2006, pp. 8–9, §5. How to draw an icosahedron on a blackboard. Borovik, Alexandre (2006). "Coxeter Theory: The Cognitive Aspects". In Davis, Chandler; Ellers, Erich (eds.). The Coxeter Legacy. Providence, Rhode Island: American Mathematical Society. pp. 17–43. ISBN 978-0821837221.

ams.org

mathscinet.ams.org

Berman 1971. 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.
MacLean 2007, p. 43–44; Coxeter 1973, Table I(i), pp. 292–293. See column " ${}_{1}\!\mathrm {R} /\ell$ ", where ${}_{1}\!\mathrm {R}$ is Coxeter's notation for the midradius, also noting that Coxeter uses $2\ell$ as the edge length (see p. 2). MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6. Coxeter, H. S. M. (1973). "2.1 Regular polyhedra; 2.2 Reciprocation". Regular Polytopes (3rd ed.). Dover Publications. pp. 16–17. ISBN 0-486-61480-8. MR 0370327.
MacLean 2007, p. 43–44; Coxeter 1973, Table I(i), pp. 292–293. See column " ${}_{1}\!\mathrm {R} /\ell$ ", where ${}_{1}\!\mathrm {R}$ is Coxeter's notation for the midradius, also noting that Coxeter uses $2\ell$ as the edge length (see p. 2). MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6. Coxeter, H. S. M. (1973). "2.1 Regular polyhedra; 2.2 Reciprocation". Regular Polytopes (3rd ed.). Dover Publications. pp. 16–17. ISBN 0-486-61480-8. MR 0370327.
Johnson 1966, See table II, line 4.; MacLean 2007, p. 43–44. 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. Zbl 0132.14603. MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6.
Whyte 1952. Whyte, L. L. (1952). "Unique arrangements of points on a sphere". The American Mathematical Monthly. 59 (9): 606–611. doi:10.1080/00029890.1952.11988207. JSTOR 2306764. MR 0050303.

archive.org

Cromwell 1997, p. 70. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.
Cromwell 1997, p. 4. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.
Haeckel 1904; Cromwell 1997, p. 6. Haeckel, E. (1904). Kunstformen der Natur (in German). See here for an online book. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.
Cromwell 1997, p. 7. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.
Heath 1908, p. 262, 478, 480. Heath, Thomas L. (1908). The Thirteen Books of Euclid's Elements (3rd ed.). Cambridge University Press.
Cromwell 1997, p. 55. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.

biolib.de

Haeckel 1904; Cromwell 1997, p. 6. Haeckel, E. (1904). Kunstformen der Natur (in German). See here for an online book. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.

books.google.com

Silvester 2001, p. 140–141; Cundy 1952. Silvester, John R. (2001). Geometry: Ancient and Modern. Oxford University Publisher. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Shavinina 2013, p. 333; Cundy 1952. Shavinina, Larisa V. (2013). The Routledge International Handbook of Innovation Education. Routledge. ISBN 978-0-203-38714-6. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Kappraff 1991, p. 475. Kappraff, Jay (1991). Connections: The Geometric Bridge Between Art and Science (2nd ed.). World Scientific. ISBN 978-981-281-139-4.</ref>
Steeb, Hardy & Tanski 2012, p. 211. Steeb, Willi-hans; Hardy, Yorick; Tanski, Igor (2012). Problems And Solutions For Groups, Lie Groups, Lie Algebras With Applications. World Scientific Publishing Company. ISBN 9789813104112.
MacLean 2007, p. 43–44; Coxeter 1973, Table I(i), pp. 292–293. See column " ${}_{1}\!\mathrm {R} /\ell$ ", where ${}_{1}\!\mathrm {R}$ is Coxeter's notation for the midradius, also noting that Coxeter uses $2\ell$ as the edge length (see p. 2). MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6. Coxeter, H. S. M. (1973). "2.1 Regular polyhedra; 2.2 Reciprocation". Regular Polytopes (3rd ed.). Dover Publications. pp. 16–17. ISBN 0-486-61480-8. MR 0370327.
MacLean 2007, p. 43–44; Coxeter 1973, Table I(i), pp. 292–293. See column " ${}_{1}\!\mathrm {R} /\ell$ ", where ${}_{1}\!\mathrm {R}$ is Coxeter's notation for the midradius, also noting that Coxeter uses $2\ell$ as the edge length (see p. 2). MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6. Coxeter, H. S. M. (1973). "2.1 Regular polyhedra; 2.2 Reciprocation". Regular Polytopes (3rd ed.). Dover Publications. pp. 16–17. ISBN 0-486-61480-8. MR 0370327.
Herz-Fischler 2013, p. 138–140. Herz-Fischler, Roger (2013). A Mathematical History of the Golden Number. Courier Dover Publications. ISBN 9780486152325.
Simmons 2007, p. 50. Simmons, George F. (2007). Calculus Gems: Brief Lives and Memorable Mathematics. Mathematical Association of America. ISBN 9780883855614.
Sutton 2002, p. 55. Sutton, Daud (2002). Platonic & Archimedean Solids. Wooden Books. Bloomsbury Publishing USA. ISBN 9780802713865.
Johnson 1966, See table II, line 4.; MacLean 2007, p. 43–44. 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. Zbl 0132.14603. MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6.
Bickle 2020, p. 147. Bickle, Allan (2020). Fundamentals of Graph Theory. American Mathematical Society. ISBN 9781470455491.
Herrmann & Sally 2013, p. 257. Herrmann, Diane L.; Sally, Paul J. (2013). Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory. CRC Press. ISBN 978-1-4665-5464-1.
Smith 1958, p. 295; Minas-Nerpel 2007. Smith, David E. (1958). History of Mathematics. Vol. 2. Dover Publications. ISBN 0-486-20430-8. Minas-Nerpel, Martina (2007). "A Demotic Inscribed Icosahedron from Dakhleh Oasis". The Journal of Egyptian Archaeology. 93 (1): 137–148. doi:10.1177/030751330709300107. JSTOR 40345834.
Flanagan & Gregory 2015, p. 85. Flanagan, Kieran; Gregory, Dan (2015). Selfish, Scared and Stupid: Stop Fighting Human Nature and Increase Your Performance, Engagement and Influence. John Wiley & Sons. ISBN 9780730312796.
Dronskowski, Kikkawa & Stein 2017, p. 435–436. Dronskowski, Richard; Kikkawa, Shinichi; Stein, Andreas (2017). Handbook of Solid State Chemistry, 6 Volume Set. John Sons & Wiley. ISBN 978-3-527-69103-6.
Livio 2003, p. 147. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (1st trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.

doi.org

Silvester 2001, p. 140–141; Cundy 1952. Silvester, John R. (2001). Geometry: Ancient and Modern. Oxford University Publisher. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Berman 1971. 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.
Shavinina 2013, p. 333; Cundy 1952. Shavinina, Larisa V. (2013). The Routledge International Handbook of Innovation Education. Routledge. ISBN 978-0-203-38714-6. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Numerical values for the volumes of the inscribed Platonic solids may be found in Buker & Eggleton 1969. Buker, W. E.; Eggleton, R. B. (1969). "The Platonic Solids (Solution to problem E2053)". American Mathematical Monthly. 76 (2): 192. doi:10.2307/2317282. JSTOR 2317282.
Johnson 1966, See table II, line 4.; MacLean 2007, p. 43–44. 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. Zbl 0132.14603. MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6.
Hopkins 2004. Hopkins, Brian (2004). "Hamiltonian paths on Platonic graphs". International Journal of Mathematics and Mathematical Sciences. 2004 (30): 1613–1616. doi:10.1155/S0161171204307118.
Smith 1958, p. 295; Minas-Nerpel 2007. Smith, David E. (1958). History of Mathematics. Vol. 2. Dover Publications. ISBN 0-486-20430-8. Minas-Nerpel, Martina (2007). "A Demotic Inscribed Icosahedron from Dakhleh Oasis". The Journal of Egyptian Archaeology. 93 (1): 137–148. doi:10.1177/030751330709300107. JSTOR 40345834.
Strauss & Strauss 2008, p. 35–62. Strauss, James H.; Strauss, Ellen G. (2008). "The Structure of Viruses". Viruses and Human Disease. Elsevier. doi:10.1016/b978-0-12-373741-0.50005-2. ISBN 9780123737410. S2CID 80803624.
Spokoyny 2013. Spokoyny, A. M. (2013). "New Ligand Platforms Featuring Boron-Rich Clusters as Organomimetic Sbstituents". Pure and Applied Chemistry. 85 (5): 903–919. doi:10.1351/PAC-CON-13-01-13. PMC 3845684. PMID 24311823.
Whyte 1952. Whyte, L. L. (1952). "Unique arrangements of points on a sphere". The American Mathematical Monthly. 59 (9): 606–611. doi:10.1080/00029890.1952.11988207. JSTOR 2306764. MR 0050303.

gmdice.com

"Dungeons & Dragons Dice". gmdice.com. Retrieved August 20, 2019.

jstor.org

Silvester 2001, p. 140–141; Cundy 1952. Silvester, John R. (2001). Geometry: Ancient and Modern. Oxford University Publisher. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Shavinina 2013, p. 333; Cundy 1952. Shavinina, Larisa V. (2013). The Routledge International Handbook of Innovation Education. Routledge. ISBN 978-0-203-38714-6. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Numerical values for the volumes of the inscribed Platonic solids may be found in Buker & Eggleton 1969. Buker, W. E.; Eggleton, R. B. (1969). "The Platonic Solids (Solution to problem E2053)". American Mathematical Monthly. 76 (2): 192. doi:10.2307/2317282. JSTOR 2317282.
Smith 1958, p. 295; Minas-Nerpel 2007. Smith, David E. (1958). History of Mathematics. Vol. 2. Dover Publications. ISBN 0-486-20430-8. Minas-Nerpel, Martina (2007). "A Demotic Inscribed Icosahedron from Dakhleh Oasis". The Journal of Egyptian Archaeology. 93 (1): 137–148. doi:10.1177/030751330709300107. JSTOR 40345834.
Whyte 1952. Whyte, L. L. (1952). "Unique arrangements of points on a sphere". The American Mathematical Monthly. 59 (9): 606–611. doi:10.1080/00029890.1952.11988207. JSTOR 2306764. MR 0050303.

nih.gov

ncbi.nlm.nih.gov

Spokoyny 2013. Spokoyny, A. M. (2013). "New Ligand Platforms Featuring Boron-Rich Clusters as Organomimetic Sbstituents". Pure and Applied Chemistry. 85 (5): 903–919. doi:10.1351/PAC-CON-13-01-13. PMC 3845684. PMID 24311823.

pubmed.ncbi.nlm.nih.gov

Spokoyny 2013. Spokoyny, A. M. (2013). "New Ligand Platforms Featuring Boron-Rich Clusters as Organomimetic Sbstituents". Pure and Applied Chemistry. 85 (5): 903–919. doi:10.1351/PAC-CON-13-01-13. PMC 3845684. PMID 24311823.

semanticscholar.org

api.semanticscholar.org

Silvester 2001, p. 140–141; Cundy 1952. Silvester, John R. (2001). Geometry: Ancient and Modern. Oxford University Publisher. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Shavinina 2013, p. 333; Cundy 1952. Shavinina, Larisa V. (2013). The Routledge International Handbook of Innovation Education. Routledge. ISBN 978-0-203-38714-6. Cundy, H. Martyn (1952). "Deltahedra". The Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204. S2CID 250435684.
Strauss & Strauss 2008, p. 35–62. Strauss, James H.; Strauss, Ellen G. (2008). "The Structure of Viruses". Viruses and Human Disease. Elsevier. doi:10.1016/b978-0-12-373741-0.50005-2. ISBN 9780123737410. S2CID 80803624.

zbmath.org

Johnson 1966, See table II, line 4.; MacLean 2007, p. 43–44. 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. Zbl 0132.14603. MacLean, Kenneth J. M. (2007). A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra. Loving Healing Press. ISBN 978-1-932690-99-6.