In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath's curve or the Fricke–Macbeath curve, is the genus-7 Hurwitz...
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closed geodesics on M. Examples. the Bolza surface of genus 2; the Klein quartic of genus 3; the Macbeath surface of genus 7; the First Hurwitz triplet of...
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surface is a highly symmetric surface. For genus 7 the order is maximized by the Macbeath surface, with order 504; this is the second Hurwitz surface...
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Murray Macbeath (30 June 1923 Glasgow – 14 May 2014 Warwick) was a mathematician who worked on Riemann surfaces. Macbeath surfaces and Macbeath regions...
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choice of an order. Hyperelliptic curve Klein quartic Bring's curve Macbeath surface First Hurwitz triplet Bolza, Oskar (1887), "On Binary Sextics with...
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Klein quartic (category Riemann surfaces)
Grünbaum–Rigby configuration Shimura curve Hurwitz surface Bolza surface Bring's curve Macbeath surface First Hurwitz triplet (Levy 1999, p. 24) (Scholl...
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Classical modular curve Bolza surface Macbeath surface Polynomial lemniscate Fermat curve Sinusoidal spiral Superellipse Hurwitz surface Bowditch curve Brachistochrone...
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Projective linear group (section Hurwitz surfaces)
PSL(2, 7) (equivalently GL(3, 2)), while the Hurwitz surface of second-lowest genus, the Macbeath surface (genus 7), has automorphism group isomorphic to PSL(2...
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(2,3,7) triangle group (category Riemann surfaces)
group are Fuchsian groups associated with Hurwitz surfaces, such as the Klein quartic, Macbeath surface and First Hurwitz triplet. To construct the triangle...
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Elliptic curve Watt's curve Bolza surface (genus 2) Klein quartic (genus 3) Bring's curve (genus 4) Macbeath surface (genus 7) Butterfly curve (algebraic)...
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First Hurwitz triplet (category Riemann surfaces)
(genera 3 and 7 each admit a unique Hurwitz surface, respectively the Klein quartic and the Macbeath surface). The explanation for this phenomenon is arithmetic...
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orientation-reversing isometries). The next possible genus is 7, possessed by the Macbeath surface, with automorphism group PSL(2,8), which is the simple group of order...
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Bring's curve (redirect from Bring's surface)
eigenvalue of the Laplacian (among surfaces in its topological class). Bolza surface Klein quartic Macbeath surface First Hurwitz triplet Weber, Matthias...
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of the simple group PSL(2,8) that is the automorphism group of the Macbeath surface. a largely composite number 505 = 5 × 101 model number of Levi's jeans...
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Fuchsian group (category Riemann surfaces)
group, containing the Fuchsian groups of the Klein quartic and of the Macbeath surface, as well as other Hurwitz groups. More generally, any hyperbolic von...
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given by the Hurwitz curves of low genus: Klein quartic (genus 3) Macbeath surface (genus 7) First Hurwitz triplet (genus 14) and by the Fermat curve...
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articles. Interesting examples are provided by the Bolza surface, Klein quartic, Macbeath surface, First Hurwitz triplet. A family of optimal systolic inequalities...
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Hurwitz quaternion order (category Riemann surfaces)
of surfaces. (2,3,7) triangle group Klein quartic Macbeath surface First Hurwitz triplet Vogeler, Roger (2003), On the geometry of Hurwitz surfaces (PhD)...
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Hurwitz's automorphisms theorem (category Riemann surfaces)
quartic curve. This group is also isomorphic to PSL(3,2). Next is the Macbeath curve, with automorphism group PSL(2,8) of order 504. Many more finite...
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boosting the immune system. Diouf, K.; Snoeks, J.; Lalèyè, P.; Contreras MacBeath, T. (2020). "Protopterus annectens". IUCN Red List of Threatened Species...
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Interfaces. 9 (12): 10418–10426. doi:10.1021/acsami.6b15415. PMID 28266828. MacBeath, G; Schreiber, SL (September 8, 2000). "Printing proteins as microarrays...
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Archived from the original on March 26, 2023. Retrieved April 24, 2019. MacBeath, Alastair (1999). Tiamat's Brood: An Investigation Into the Dragons of...
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arXiv:nucl-th/0612100. doi:10.1088/0954-3899/34/3/R01. ISSN 0954-3899. MacBeath, Darryl (November 2016). The Pearcey function and the cusp catastrophe...
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with a complementary DNA microarray," Science 270, pp. 467–470, 1995 G. MacBeath, A. N. Koehler, and S. L. Schreiber, "Printing small molecules as microarrays...
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Ahn, M-H. Yoon, A. Sutton, M. Jorgolli, R. S. Gertner, T. S. Gujral, G. MacBeath, E. G. Yang, H. Park, Proc. Natl. Acad. Sci. USA 107, 1870–1875 (2010)...
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(21): 6447–53. doi:10.1016/j.bmc.2011.08.056. PMC 3209416. PMID 21944547. MacBeath G, Kast P, Hilvert D (March 1998). "Redesigning enzyme topology by directed...
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(Frederick William Reeves) and p. 290 (Albert Groethe) Mins of Ev p. 135 (G Macbeath) Mins of Ev p. 511 (Benjamin Baker) Mins of Ev pp. 244–245 (Henry Law)...
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pending renovations. St Peter's Anglican Church: Designed by architect David Macbeath and built of sandstone in 1874–1875 by contractor Alexander Armstrong,...
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Chatham was launched by James Foran in 1832. Others, like James Waitt, James MacBeath, William Branch and John Rennie soon opened competition. "Delirium tremens...
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1042/0264-6021:3370537. PMC 1220007. PMID 9895299. Forbes EG, Cronshaw AD, MacBeath JR, Hulmes DJ (September 1994). "Tyrosine-rich acidic matrix protein (TRAMP)...
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