Journal articles on the topic 'Platonic polyhedra'
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Caglayan, Günhan. "Hanging Around with Platonic Solids." Mathematics Teacher 112, no. 5 (March 2019): 328–29. http://dx.doi.org/10.5951/mathteacher.112.5.0328.
Full textLee, J., J. Duffy, and J. Rooney. "An initial investigation into the geometrical meaning of the (pseudo-) inverses of the line matrices for the edges of platonic polyhedra." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 216, no. 1 (January 1, 2002): 25–30. http://dx.doi.org/10.1243/0954406021524882.
Full textLengvarszky, Zsolt. "Compound Platonic Polyhedra in Origami." Mathematics Magazine 79, no. 3 (June 1, 2006): 190. http://dx.doi.org/10.2307/27642934.
Full textLengvarszky, Zsolt. "Compound Platonic Polyhedra in Origami." Mathematics Magazine 79, no. 3 (June 2006): 190–98. http://dx.doi.org/10.1080/0025570x.2006.11953402.
Full textGosselin, C. M., and D. Gagnon-Lachance. "Expandable Polyhedral Mechanisms Based on Polygonal One-Degree-of-Freedom Faces." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 7 (July 1, 2006): 1011–18. http://dx.doi.org/10.1243/09544062jmes174.
Full textLichtenberg, Donovan R. "Pyramids, Prisms, Antiprisms, and Deltahedra." Mathematics Teacher 81, no. 4 (April 1988): 261–65. http://dx.doi.org/10.5951/mt.81.4.0261.
Full textWohlhart, Karl. "Equally circumscribed cyclic polyhedra generalize Platonic solids." Mechanism and Machine Theory 133 (March 2019): 150–63. http://dx.doi.org/10.1016/j.mechmachtheory.2018.10.004.
Full textTavakoli, Armin, and Nicolas Gisin. "The Platonic solids and fundamental tests of quantum mechanics." Quantum 4 (July 9, 2020): 293. http://dx.doi.org/10.22331/q-2020-07-09-293.
Full textPál, Károly F., and Tamás Vértesi. "Platonic Bell inequalities for all dimensions." Quantum 6 (July 7, 2022): 756. http://dx.doi.org/10.22331/q-2022-07-07-756.
Full textNaylor, Michael. "The Amazing Octacube." Mathematics Teacher 92, no. 2 (February 1999): 102–4. http://dx.doi.org/10.5951/mt.92.2.0102.
Full textTimofeenko, A. V. "The non-platonic and non-Archimedean noncomposite polyhedra." Journal of Mathematical Sciences 162, no. 5 (October 17, 2009): 710–29. http://dx.doi.org/10.1007/s10958-009-9655-0.
Full textFujii, Shota, Rintaro Takahashi, Ji Ha Lee, and Kazuo Sakurai. "Correction: A tetramer micelle: the smallest aggregation number corresponding to the vertex number of regular polyhedra in platonic micelles." Soft Matter 14, no. 6 (2018): 1067. http://dx.doi.org/10.1039/c8sm90014k.
Full textKovács, F. "Number and twistedness of strands in weavings on regular convex polyhedra." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2162 (February 8, 2014): 20130608. http://dx.doi.org/10.1098/rspa.2013.0608.
Full textKRIVOSHAPKO, S. N. "POLYHEDRA AND QUASI- POLYHEDRA IN ARCHITECTURE OF CIVIL AND INDUSTRIAL ERECTIONS." Building and reconstruction 90, no. 4 (2020): 48–64. http://dx.doi.org/10.33979/2073-7416-2020-90-4-48-64.
Full textSiqueira, Paulo Henrique. "Visualization of Archimedian and Platonic polyhedra using a web environment in Augmented Reality and Virtual Reality." International Journal for Innovation Education and Research 9, no. 11 (November 1, 2021): 1–13. http://dx.doi.org/10.31686/ijier.vol9.iss11.2441.
Full textGriffiths, Martin. "n-dimensional enrichment for Further Mathematicians." Mathematical Gazette 89, no. 516 (November 2004): 409–16. http://dx.doi.org/10.1017/s0025557200178258.
Full textMontejano-Carrizales, Juan Martín, José Luis Rodríguez-López, Umapada Pal, Mario Miki-Yoshida, and Miguel José-Yacamán. "The Completion of the Platonic Atomic Polyhedra: The Dodecahedron." Small 2, no. 3 (March 2006): 351–55. http://dx.doi.org/10.1002/smll.200500362.
Full textHopley, Ronald B. "Nested Platonic Solids: A Class Project in Solid Geometry." Mathematics Teacher 87, no. 5 (May 1994): 312–18. http://dx.doi.org/10.5951/mt.87.5.0312.
Full textTeich, Erin G., Greg van Anders, Daphne Klotsa, Julia Dshemuchadse, and Sharon C. Glotzer. "Clusters of polyhedra in spherical confinement." Proceedings of the National Academy of Sciences 113, no. 6 (January 25, 2016): E669—E678. http://dx.doi.org/10.1073/pnas.1524875113.
Full textCoolsaet, Kris, and Stan Schein. "Some New Symmetric Equilateral Embeddings of Platonic and Archimedean Polyhedra." Symmetry 10, no. 9 (September 5, 2018): 382. http://dx.doi.org/10.3390/sym10090382.
Full textBrinkmann, Gunnar, Pieter Goetschalckx, and Stan Schein. "Comparing the constructions of Goldberg, Fuller, Caspar, Klug and Coxeter, and a general approach to local symmetry-preserving operations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2206 (October 2017): 20170267. http://dx.doi.org/10.1098/rspa.2017.0267.
Full textKramer, Peter. "Platonic polyhedra tune the 3-sphere: harmonic analysis on simplices." Physica Scripta 81, no. 1 (January 2010): 019801. http://dx.doi.org/10.1088/1402-4896/81/1/019801.
Full textKramer, Peter. "Platonic polyhedra tune the 3-sphere: harmonic analysis on simplices." Physica Scripta 79, no. 4 (March 31, 2009): 045008. http://dx.doi.org/10.1088/0031-8949/79/04/045008.
Full textHuybers, P. "Form Generation Of Polyhedric Building Shapes." International Journal of Space Structures 11, no. 1-2 (April 1996): 173–81. http://dx.doi.org/10.1177/026635119601-223.
Full textDomokos, Gábor, Douglas J. Jerolmack, Ferenc Kun, and János Török. "Plato’s cube and the natural geometry of fragmentation." Proceedings of the National Academy of Sciences 117, no. 31 (July 17, 2020): 18178–85. http://dx.doi.org/10.1073/pnas.2001037117.
Full textStefanides, Panagiotis. "Panagiotis Chr.Stefanides Invited to 4th TECHNIUM International Conference - Recognition of career." Technium: Romanian Journal of Applied Sciences and Technology 2, no. 3 (April 28, 2020): 1–16. http://dx.doi.org/10.47577/technium.v2i3.454.
Full textMeurant, Robert C. "A New Order in Space — Platonic and Archimedian Polyhedra and Tilings." International Journal of Space Structures 6, no. 1 (March 1991): 11–32. http://dx.doi.org/10.1177/026635119100600102.
Full textPedersen, Martin Cramer, and Stephen T. Hyde. "Polyhedra and packings from hyperbolic honeycombs." Proceedings of the National Academy of Sciences 115, no. 27 (June 20, 2018): 6905–10. http://dx.doi.org/10.1073/pnas.1720307115.
Full textFujii, Shota, Rintaro Takahashi, Lee Ji Ha, and Kazuo Sakurai. "A tetramer micelle: the smallest aggregation number corresponding to the vertex number of regular polyhedra in platonic micelles." Soft Matter 14, no. 6 (2018): 875–78. http://dx.doi.org/10.1039/c7sm02028g.
Full textNickalls, R. W. D. "The quartic equation: alignment with an equivalent tetrahedron." Mathematical Gazette 96, no. 535 (March 2012): 49–55. http://dx.doi.org/10.1017/s0025557200003958.
Full textKramer, Peter. "Platonic polyhedra tune the three-sphere: II. Harmonic analysis on cubic spherical manifolds." Physica Scripta 82, no. 1 (July 7, 2010): 019802. http://dx.doi.org/10.1088/1402-4896/82/1/019802.
Full textFusco, G., G. F. Gronchi, and P. Negrini. "Platonic polyhedra, topological constraints and periodic solutions of the classical N-body problem." Inventiones mathematicae 185, no. 2 (December 16, 2010): 283–332. http://dx.doi.org/10.1007/s00222-010-0306-3.
Full textNestorović, Miodrag, and Vladimir Mišković. "Advanced development of space structures in domains of 3D transformation." SAJ - Serbian Architectural Journal 3, no. 3 (2011): 116–39. http://dx.doi.org/10.5937/saj1102116n.
Full textKramer, Peter. "Platonic polyhedra tune the three-sphere: II. Harmonic analysis on cubic spherical three-manifolds." Physica Scripta 80, no. 2 (July 20, 2009): 025902. http://dx.doi.org/10.1088/0031-8949/80/02/025902.
Full textKramer, Peter. "Platonic polyhedra tune the three-sphere: III. Harmonic analysis on octahedral spherical three-manifolds." Physica Scripta 81, no. 2 (January 29, 2010): 025005. http://dx.doi.org/10.1088/0031-8949/81/02/025005.
Full textFenucci, M., and G. F. Gronchi. "On the stability of periodic N-body motions with the symmetry of Platonic polyhedra." Nonlinearity 31, no. 11 (October 5, 2018): 4935–54. http://dx.doi.org/10.1088/1361-6544/aad644.
Full textVukičević, Damir, and Alexandru T. Balaban. "Note on ordering and complexity of Platonic and Archimedean polyhedra based on solid angles." Journal of Mathematical Chemistry 44, no. 3 (February 13, 2008): 725–30. http://dx.doi.org/10.1007/s10910-008-9361-z.
Full textFenucci, Marco, and Àngel Jorba. "Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem." Communications in Nonlinear Science and Numerical Simulation 83 (April 2020): 105105. http://dx.doi.org/10.1016/j.cnsns.2019.105105.
Full textNeumann, W., and J. Komrska. "Crystal shape amplitudes of platonic polyhedra. II. The regular pentagonal dodecahedron and the icosahedron." Physica Status Solidi (a) 150, no. 1 (July 16, 1995): 113–26. http://dx.doi.org/10.1002/pssa.2211500110.
Full textDuan, Jinwei, Lin Cui, and Ying Wang. "Rational design of DNA platonic polyhedra with the minimal components number from topological perspective." Biochemical and Biophysical Research Communications 523, no. 3 (March 2020): 627–31. http://dx.doi.org/10.1016/j.bbrc.2019.12.113.
Full textWilliams, W., A. R. Muxworthy, and M. E. Evans. "A micromagnetic investigation of magnetite grains in the form of Platonic polyhedra with surface roughness." Geochemistry, Geophysics, Geosystems 12, no. 10 (October 2011): n/a. http://dx.doi.org/10.1029/2011gc003560.
Full textAl-Siyabi, Abeer, Nazife Ozdes Koca, and Mehmet Koca. "Icosahedral Polyhedra from D6 Lattice and Danzer’s ABCK Tiling." Symmetry 12, no. 12 (November 30, 2020): 1983. http://dx.doi.org/10.3390/sym12121983.
Full textBruce King, R. "Platonic tessellations of Riemann surfaces as models in chemistry: non-zero genus analogues of regular polyhedra." Journal of Molecular Structure 656, no. 1-3 (August 2003): 119–33. http://dx.doi.org/10.1016/s0022-2860(03)00335-1.
Full textFusco, Giorgio, and Giovanni F. Gronchi. "Platonic Polyhedra, Periodic Orbits and Chaotic Motions in the $$N$$ N -body Problem with Non-Newtonian Forces." Journal of Dynamics and Differential Equations 26, no. 4 (December 2014): 817–41. http://dx.doi.org/10.1007/s10884-014-9401-2.
Full textde La Vaissière, B., P. W. Fowler, and M. Deza. "Codes in Platonic, Archimedean, Catalan, and Related Polyhedra: A Model for Maximum Addition Patterns in Chemical Cages." Journal of Chemical Information and Computer Sciences 41, no. 2 (March 2001): 376–86. http://dx.doi.org/10.1021/ci000129s.
Full textWester, Ture. "3-D Form And Force Language Proposal For A Structural Basis." International Journal of Space Structures 11, no. 1-2 (April 1996): 221–31. http://dx.doi.org/10.1177/026635119601-227.
Full textKomrska, J., and W. Neumann. "Crystal shape amplitudes of platonic polyhedra. I. General aspects and the shape amplitudes of the tetrahedron, cube, and octahedron." Physica Status Solidi (a) 150, no. 1 (July 16, 1995): 89–111. http://dx.doi.org/10.1002/pssa.2211500109.
Full textde La Vaissiere, B., P. W. Fowler, and M. Deza. "ChemInform Abstract: Codes in Platonic, Archimedean, Catalan, and Related Polyhedra: A Model for Maximum Addition Patterns in Chemical Cages." ChemInform 32, no. 22 (May 26, 2010): no. http://dx.doi.org/10.1002/chin.200122185.
Full textKriechbaum, Manfred. "Analytical calculation of the radius of gyration of regular shapes and polyhedra." Acta Crystallographica Section A Foundations and Advances 70, a1 (August 5, 2014): C415. http://dx.doi.org/10.1107/s2053273314095849.
Full textKlenk, Simon, Wolfgang Frey, Martina Bubrin, and Sabine Laschat. "Tetra-μ3-iodido-tetrakis[(tri-n-butylphosphane-κP)copper(I)]." Acta Crystallographica Section E Structure Reports Online 70, no. 4 (March 5, 2014): m117—m118. http://dx.doi.org/10.1107/s1600536814003390.
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