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Topic: List of spherical symmetry groups

	Encyclopedia topic: Virus (Site not responding. Last check: 2007-10-08)
		The viral capsid may be either spherical or helical and is composed of proteins encoded by the viral genome.
		Spherical virus capsids completely enclose the viral genome and do not generally bind as tightly to the nucleic acid as helical capsid proteins do.
		As in the helical viruses, the spherical virus capsid may be enclosed in a lipid envelope, although frequently spherical viruses are not enveloped, and the capsid proteins themselves are directly involved in attachment and entry into the host cell.
	www.absoluteastronomy.com /encyclopedia/v/vi/virus.htm (2733 words)

	Symmetry and Symmetry Breaking in Software Patterns
		By using group theory as the formal model for the symmetry and symmetry breaking that underlie key programming constructs, we establish a formal basis for the characterization of software patterns that is consistent with the pattern foundations of the architectural literature that are commonly cited as the inspiration for software patterns.
		The symmetry groups will be the collections of program transformations that are possible to apply to a program using programming language features with respect to a certain set of invariants, and all the compositions of those transformations.
		Symmetry is preserved in well-formed subtyping; we know this because the invariants of the derived class must be at least as strong as those of the base class.
	users.rcn.com /jcoplien/Patterns/Symmetry/GCSE2000/GCSEOOSym.html (8228 words)

	The Math Forum - Math Library - Symmetry/Tesselltns (Site not responding. Last check: 2007-10-08)
		Topics include an introduction to symmetry; symmetry in the alphabet, in flags, in quilt blocks; reflectional and rotational symmetry; strip patterns; regular and irregular polygons; paper-folding and cutting; origami; tessellation in nature; kaleidoscopes; regular, semiregular, and demiregular tessellations; islamic tessellations; M. Escher; jigsaw puzzles, tessellating art; and explorations with TesselMania.
		Materials about symmetry and classification of repeating patterns for students in grades 7-10 using wallpaper patterns, to be used as either an introduction or a review: a classroom-ready source of information.
		An list of suggestions for projects in geometry, topology, symmetry, making geometric solids, calendars, spherical and hyperbolic trigonometry, puzzles, models, etc. Projects were to be exhibited at the Geometry Fair at the end of the course.
	mathforum.org /library/topics/sym_tess (2570 words)

	III.C. CRYSTALS, SYMMETRY, AND DIFFRACTION
		Inversion: A symmetry operation in which each point of an object is converted to an equivalent point by projecting through a common center (called center of inversion or center of symmetry) and extending an equal distance beyond this center.
		Many of the small, spherical viruses are icosahedral (cubic point group) and they contain symmetry elements compatible with allowed lattice symmetries, and crystallize and display crystallographic as well as non-crystallographic symmetry.
		Symmetry operations in the unit cell give rise to systematic absences in the diffraction patterns which often proves useful for determining the correct space group.
	em-outreach.ucsd.edu /web-course/Sec-III.C.1-C.5/Sec-III.C.1-C.5.html (3671 words)

	Lie Groups and Lie Algebras (Site not responding. Last check: 2007-10-08)
		Lie invented a lot of interesting methods to approach the problem of studying symmetries of differential equations, and eventually laid foundations to a Galois theory of differential equations: he proved that only a few equations can be solved by symbolic integration.
		This is a complete treatise on topological groups and hence also on Lie groups; in particular Pontriagin was one of the first (with von Neumann) to understand when a topological group is indeed a Lie group; the book starts from scratch, giving an introduction to topology, group theory, division algebras, and so on.
		A general introduction to Lie algebras and groups (not confined to the real and complex case); the part on Lie groups uses the bourbakist concept of manifold over complete fields; may be difficult to beginners.
	www.math.unifi.it /~caressa/math/lie.html (1394 words)

	List Key (Site not responding. Last check: 2007-10-08)
		Following the alternative names is the symmetry group of the polychoron, but only if it differs from the usual symmetry group of the other polychora in its assemblage.
		The names of the groups are straightforward extensions of the names of the groups in three dimensions.
		For example, the symmetry group of the dodecahedron, icosahedron, icosidodecahedron, and so forth, is denoted [3,5] or [5,3] and is called the diploid icosahedral group.
	members.aol.com /Polycell/listkey.html (1167 words)

	List of preliminary abstracts
		Listed are only participants, who have submitted the titles or the abstracts of their presentations.
		Eventhough the precise nature of the carbohydrate groups on carcinomas is yet to be defined, unmasked TF and Tn epitopes are found to be unique carcinoma markers.
		The result show that the types of side chains and groups in the aromatic molecules influence both the thermodynamics and structures of the molecular associates being formed in aqueous solution; the hetero-association parameters for phenanthridinium drugs, PI and EB are intermediate between those observe for the self-association of these drugs.
	www.fiz.uni-lj.si /~eenc98/eenc98list.html (16973 words)

	List Of Articles (Site not responding. Last check: 2007-10-08)
		Usually quantum chains with quantum group symmetry are associated with representations of quantized universal algebras $U_q(g)$.
		Our method is based essentially on modding out a known theory on group manifold G by a discrete group G. We apply our method to $\widehat{su(n)}$ with n=2, 3, 4, 5, 6 and to $\widehat{g_2}$ models, and obtain all the known partition functions and some new ones, and give explicit expressions for all of them.
		After showing that the magnetic translation operators are not the symmetries of the quantum Hall effect ({\sc{qhe}}) on non-flat surfaces, we show that another set of operators which leads to the quantum group symmetries for some of these surfaces exists.
	theory.ipm.ac.ir /papers/all.html (11962 words)

	The Geometry Junkyard: Symmetry and Group Theory
		Ron Lifshitz provides a light introduction to the symmetry of periodic and aperiodic crystals, and the complications introduced by including permutations of colors in a coloring as part of a symmetry operation.
		Spherical Julia set with dodecahedral symmetry discovered by McMullen and Doyle in their work on quintic equations and rendered by Don Mitchell.
		Group theoretic mathematics for determining whether a polygon formed out of hexagons can be dissected into three-hexagon triangles, or whether a polygon formed out of squares can be dissected into restricted-orientation triominoes.
	www.ics.uci.edu /~eppstein/junkyard/sym.html (1155 words)

	User talk:Patrick - Wikipedia, the free encyclopedia
		I could use some help on symmetry groups.
		I have a template which has a list in it and I want that list to be on the right side of a page I put that template in and also I want to have text wrapped around it on the left side.
		Anyway, since you are fan of symmetry groups, I thought I would let you know about this tasty redlink, whether you have time to work on it or not.
	en.wikipedia.org /wiki/User_talk:Patrick (2011 words)

	[No title]
		The tiling with five triangles meeting at the pole uses equilateral triangles and is the spherical form of the icosahedron.
		This "baseball" tiling has a very small symmetry group, but it is not (as we have seen) forced by the shape of the tile.
		The other two have smaller symmetry groups; the tiling at the left has a symmety group generated by two reflections, that in the middle has a symmetry group of order two, generated by a 180° rotation.
	cs.stmarys.ca /~dawson/images4.html (1782 words)

	Readings 240
		Furniture in a den is usually grouped around the fireplace, the obvious focal point in the space.
		The next classification divides the chromatic colors into groups by hue, that is, all reds are together, all blues are together, and so on.
		Many people prefer people of color as a rough substitute for minorities because these groups are not in fact in the minority in many parts of America.
	online.sfsu.edu /~janets/readings.htm (5210 words)

	Spherical Codes
		A library of putatively optimal spherical codes, together with other arrangements which may not be optimal but are especially interesting for some reason.
		However, others are good spherical t-designs, or good coverings, etc. At some point I plan to go through this list and annotate it with further information about minimal angle, covering radius, index as a t-design, order of automorphism group, etc.
		There is some overlap with the tables of packings in dimensions 3, 4 and 5 mentioned in Part 1 of this file, and with the tables of spherical coverings, spherical t-designs, minimal energy arrangements, minimal volume arrangements, etc.
	www.research.att.com /~njas/packings (1390 words)

	Alphabetic List of Keywords (Site not responding. Last check: 2007-10-08)
		groups are allowed and the maximum number of groups is the number of replicas.
		Every processor group is headed by one PARENT and has several CHILDREN that work together on a single replica at one time; the processor groups work sequentially on replicas if there is more than one replica assigned to one processor group.
		Note: if the resulting number of processor groups is much smaller than the number of replicas (which occurs in ``odd'' cases) specifying the number of processor groups to be equal to the number of replicas might be more efficient.
	www.cpmd.org /manual/node41.html (8290 words)

	Fermilab pub list
		group theoretical construction of dual amplitudes; group theoretical construction of dual amplitudes;
		chiral symmetry and psi-prime ---> psi + pi + pi decay; chiral symmetry and psi-prime ---> psi + pi + pi decay;
		the case against the pseudoscalar nonet and su(4) symmetry in meson spectroscopy; the case against the pseudoscalar nonet and su(4) symmetry in meson spectroscopy;
	lss.fnal.gov /archive/lists/pub.html (8702 words)

	Numbers 2002 Catalogue List (Site not responding. Last check: 2007-10-08)
		Cards contain lists of different numbers with a corresponding Christian name against each.
		Tabs are slight bent, four red ink colours (to remember) written on rear, slight rub one sector.
		Blue printed Publisher's list as eps Covers : slight patchy fade + slight grubbiness (now cleaned), 2 x 4cm light ink mark rear, slight 0.2cm shelf knocks top/bottom of spine.
	www.deightons.com /pages/Numbers2002List.htm (15329 words)

	Preprints List (Site not responding. Last check: 2007-10-08)
		Simply click on the author's name and you will be taken directly to the list of his/her preprints.
		Where there are multiple authors for a preprint, the preprint will be listed under each author's name.
		A note on symmetry and stability for fluid flows.
	cpam.berkeley.edu /cpam_pre-prints_list.htm (3976 words)

	The Wisner Large Format Q&
		The spherical (and other) aberration of any lens is directly proportional (all other things being equal) to focal length.
		The "down side" is the fair degree of oblique spherical aberration which requires that the lens be used at smaller stops, f:22 or smaller.
		Their argument is that if the exact actual focal length of any lens in question is not exactly as listed and engraved, the error is a smaller fraction of a centimeter than it is of a millimeter.
	www.wisner.com /q&a.htm (12355 words)

	Entire Reprint List by Year
		Symmetry groupoids and patterns of synchrony in coupled cell networks.
		Symmetry in locomotor central pattern generators and animal gaits.
		Detecting the symmetry of attractors for six oscillators coupled in a ring.
	www.maths.warwick.ac.uk /~ins/entireyr.html (1833 words)

	A RE-EVALUATION OF THE EXTRATERRESTRIAL ORIGIN OF THE CAROLINA BAYS
		This divergence is due to the fanning-out effect of a group of bodies, the meteorites, passing through the resisting gaseous medium of the atmosphere (Prouty, 1952, p.
		Although they may travel in small groups or may break up into several dozen pieces in the atmosphere, it is unlikely that they existed in sufficient numbers to create half a million Carolina bays.
		The spherules would be consistent with the idea of an admixture of small grains of non-icy "dirt" in the dirty iceberg and their spherical shape could be the result of sudden melting during the explosion.
	abob.libs.uga.edu /bobk/cbayint.html (8384 words)

	INE Web Sites (With Active Links)
		The listing of these sites below does not mean that the INE endorses these sites, their theories, their conclusions, and/or their products.
		In a stunning upset of the fundamental dogmas of high-energy nuclear physics, a small group of inspired inventors acting in the tradition of the Wright Brothers of nearby Dayton OH, has achieved reliable, multiply-confirmed, replicable-upon-demand, low-energy, bulk-process, high-speed, dirt-cheap, modern alchemy.
		It is based on the premise that the total amount of heat leaving a spherical body plays a more causal role than its mass in producing the gravitational force found in that body.
	www.padrak.com /ine/WEBSITES.html (14606 words)

	Publications by Marc De Graef
		De Graef, D. Van Dyck, and J. Van Landuyt, "On the symmetry properties of axial high resolution electron micrographs," in Proc. 8th European Crystallographic Meeting, 1983, p.
		Fransaer, M. De Graef, and J. Roos, "The temperature distribution around a spherical particle on a planar surface," J.
		M.R. McCartney, N.T. Nuhfer, and M. De Graef, "Phase Contrast of Spherical Magnetic Particles," Microscopy and Microanalysis, vol.
	neon.mems.cmu.edu /degraef/publications.shtml (3122 words)

	List of publications, etc. (Site not responding. Last check: 2007-10-08)
		Jens Gerlach Christensen, Henrik Schlichtkrull: An uncertainty principle related to the Euclidean motion group, Mathematical Proceedings of the Royal Irish Academy, 104 A, pp.
		Cristina Antonescu, Erik Christensen: Metrics on group C*-algebras and a non-commutative Arzelà-Ascoli Theorem.
		David Brink: On alternating and symmetric groups as Galois groups, Israel Journal of Mathematics, 142, pp.
	cgi.math.ku.dk /publications (5826 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		If there are other programs that you think should also be on the list, send me a note and I will update this list at some stage.
		Academic licence US$ 200 per group (not to be used for projects that are supported by a "for profit" organization).
		I intend to update the list from time to time, but please be patient.
	www.york.ac.uk /depts/chem/services/nmr/edusoft.html (6418 words)

	Neil Sloane (home page)
		List of things that need to be done for the On-Line Encyclopedia of Integer Sequences, in case anyone wants to help!
		of from 60 to 78032 points on a sphere with icosahedral symmetry has been revised to make it easy to download the points.
		Spherical codes (packings, coverings and max volume arrangements with icosahedral symmetry) [updated Oct 24, 2000]
	www.research.att.com /~njas (1111 words)

	SNMP 2005: List of participants
		Q-conditional symmetry of (1+2)-dimensional nonlinear heat equations (with Roman POPOVYCH and Mykola SEROV) Abstract
		Symmetries and quantum anomalies of composite fields in the Heisenberg approach to the Universe Abstract
		Symmetries and constants of motion of a system of three oscillators with magnetic terms Abstract
	www.imath.kiev.ua /~appmath/Abstracts2005/part2005.html (4766 words)

	List of Publications
		Role of charged groups and isozyme 2 specific salt-bridges.
		O'Donoghue,S.I., Chang,X., Abseher,R., Nilges,M., and Led,J.J. Unraveling the symmetry ambiguity in a hexamer: Calculation of the R6 human insulin structure.
		Sierks,M.R. and Svensson,B. Energetic and mechanistic studies of glucoamylase using molecular recognition of maltose OH groups coupled with site-directed mutagenesis.
	www.crc.dk /publications/query.php3 (12522 words)

	The Geometry Junkyard: All Topics
		Atlas of oriented knots and links, Corinne Cerf extends previous lists of all small knots and links, to allow each component of the link to be marked by an orientation.
		Brent Everitt lists the finite volume orientable hyperbolic and spherical 3-manifolds obtained by identifying the faces of regular solids.
		He lists both general upper and lower bounds as functions of a, b, and c, and specific constructions for specific sizes of box.
	www.ics.uci.edu /~eppstein/junkyard/all.html (9727 words)

	References
		Here is a list of introductory and intermediate works on polyhedra, along with my brief personal annotations.
		Introduction to symmetry in many forms, especially its role in chemistry, with many examples of polyhedral chemical structures.
		English translation of challenging 1884 German monograph, with accessible introductory chapters on symmetry groups of polyhedra.
	www.georgehart.com /virtual-polyhedra/references.html (5153 words)

	publication_list (Site not responding. Last check: 2007-10-08)
		Chakrabarti, S.K., Closure on "Wave Forces on Submerged Objects of Symmetry", Journal of Waterways, Harbors and Coastal Engineering Division, ASCE, Vol.
		Chakrabarti, S.K., "Wave Groups in Ocean Swells" (Discussion), Journal of Waterways, Harbors and Coastal Engineering Division, ASCE, Vol.
		Naftzger, R.A. and Chakrabarti, S.K., "Wave Forces on a Submerged Hemi- spherical Shell", Proceedings on Conference on Ocean Engineering III, ASCE, Newark, Delaware, June 1975.
	members.aol.com /chakrab/publication_list.html (4707 words)

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