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Topic: Symmetry


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In the News (Sun 21 Jul 19)

  
  Symmetry Software - Specialists in Payroll Withholding Tax Solutions
Symmetry Software - Specialists in Payroll Withholding Tax Solutions
Symmetry is the undisputed leader for accurate and practical solutions for withholding tax computations.
In 2007, Symmetry Software was featured on StudioDell.com.
www.symmetry.com   (119 words)

  
  Symmetry and Pattern: The Art of Oriental Carpets
Symmetry and Pattern: The Art of Oriental Carpets
The study of symmetry offers one approach to analyzing patterns in Oriental carpets.
Through symmetry analysis we may identify areas of pattern that exhibit expected repetitions, and areas that vary from that expectation.
www.mathforum.org /geometry/rugs   (140 words)

  
  NationMaster - Encyclopedia: Symmetry of second derivatives
Symmetry is used in the design of the overall floor plan of buildings as well as the design of individual building elements such as doors, windows, floors, frieze work, and ornamentation; many facades adhere to bilateral symmetry.
Symmetry is also an important consideration in the formation of scales and chords, traditional or tonal music being made up of non-symmetrical groups of pitches, such as the diatonic scale or the major chord.
Symmetry does not by itself confer beauty to an object — many symmetrical designs are boring or overly challenging, and on the other hand preference for, or dislike of, exact symmetry is apparently dependent on cultural background.
www.nationmaster.com /encyclopedia/Symmetry-of-second-derivatives   (1425 words)

  
 Symmetry and Symmetry Breaking (Stanford Encyclopedia of Philosophy)
The extension of the concept of continuous symmetry from “global” symmetries (such as the Galilean group of spacetime transformations) to “local” symmetries is one of the important developments in the concept of symmetry in physics that took place in the twentieth century.
Symmetries may be used to explain (i) the form of the laws, and (ii) the occurrence (or non-occurrence) of certain events (this latter in a manner analogous to the way in which the laws explain why certain events occur and not others).
Another reason for attributing symmetries to nature is the so-called geometrical interpretation of spatiotemporal symmetries, according to which the spatiotemporal symmetries of physical laws are interpreted as symmetries of spacetime itself, the “geometrical structure” of the physical world.
plato.stanford.edu /entries/symmetry-breaking   (9828 words)

  
 Spartanburg SC | GoUpstate.com | Spartanburg Herald-Journal   (Site not responding. Last check: )
Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O(n) by choosing the origin to be a fixed point.
The group of all symmetries of a sphere O(3) is an example of this, and in general such continuous symmetry groups are studied as Lie groups.
The actual symmetry groups in each of these cases have two degrees of freedom for the center of rotation, and in the case of the dihedral groups, one more for the positions of the mirrors.
www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=symmetry_group   (1599 words)

  
 Spartanburg SC | GoUpstate.com | Spartanburg Herald-Journal   (Site not responding. Last check: )
The symmetry properties of the crystal are embodied in its space group.
In addition to rotational symmetries like this, a crystal may have symmetries in the form of mirror planes and translational symmetries, and also the so-called compound symmetries which are a combination of translation and rotation/mirror symmetries.
The characteristic rotation and mirror symmetries of the group of atoms, or unit cell, is described by its crystallographic point group.
www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=crystal_structure   (1162 words)

  
 Unification of Forces
The concept of spontaneous symmetry breaking is important to the understanding of electroweak unification and further unifications.
This is an apt analogy for the electroweak unification, since the symmetry between the Coulomb force and the weak interaction is certainly not evident at low temperatures.
The basic problem of "restoring the broken symmetry" between the strong and electroweak forces is that the strong force works only on colored particles and the leptons don't have color.
hyperphysics.phy-astr.gsu.edu /hbase/forces/unify.html   (897 words)

  
 Brazilian Journal of Physics - Ambiguities and symmetry relations in the perturbative solution of Quantum ...   (Site not responding. Last check: )
The symmetry relationships in QED have origin directly in the lagrangean and automatically associate several physical processes.The original content of symmetries should be reflected in the calculated amplitudes with Feynman rules in each order of the perturbative expansion.
In theories with non trivial symmetries the renormalizability critically depends on the cancellation of divergences among different sections of the theory as dictated by Ward identities.
The content of symmetry of the theory establishes relationships among the diagrams, that should be satisfied for any method used in the manipulations and calculations.
www.scielo.br /scielo.php?script=sci_arttext&pid=S0103-97332000000300020&lng=es&nrm=iso   (1729 words)

  
 Jurate Macnoriute SYMMETRY IN THE QUARTERS OF PICTURE
Symmetry in the quarters of picture Many years ago I noticed a case of symmetry in the quarters of picture which relates principles of symmetry with the whole of picture.
Thus symmetry of objects of different values is a case of manifestation of dissonance principle.
Thus we may think that existence of symmetry in the quarters of picture is one way of manifestation of poetics and musicality.
www.freehomepages.com /jumac/s9e.html   (1185 words)

  
 The Geometry Junkyard: Symmetry and Group Theory
Associating the symmetry of the Platonic solids with polymorf manipulatives.
Steven Cullinane studies the symmetries of the shapes formed by splitting each square of a grid into dark and light triangles.
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.
www.ics.uci.edu /~eppstein/junkyard/sym.html   (1125 words)

  
 Symmetry and Bifurcation in Biology
In this case, the package is the exploitation of symmetries in nonlinear dynamial systems, and the strong relation between symmetry and pattern formation.
It has become apparent that the symmetries of a system of nonlinear ordinary or partial differential equations can be used, in a systematic and unified way, to analyze, predict, and understand many general mechanisms of pattern-formation.
But a huge range of biological systems possess approximate symmetries (for example all organisms in a species are approximately identical), and the best way to model such systems is to exploit the symmetry of an idealized model, and then consider what changes might occur to the conclusions if the symmetry is close, but not exact.
www.pims.math.ca /birs/workshops/2003/03w5075   (584 words)

  
 Distance Symmetry Restraints   (Site not responding. Last check: )
The distance symmetry implies twofold symmetry whereas the non-crystallographic symmetry restraints simply restrain the monomers to be nearly superimposable without specification of a specific operation between the monomers.
The distance symmetry restraints are, however, less stringent than the strict non-crystallographic symmetry (Section 16.2), as the latter requires explicit specification of the symmetry operation.
The distance symmetry restraints allow the separation between the monomers to be a self-adjusting parameter.
www.embl-heidelberg.de /nmr/xplor/htmlman/node370.html   (339 words)

  
 Reference.com/Encyclopedia/Cube
The cube has 3 classes of symmetry, which can be represented by vertex-uniform coloring the faces.
It is also unique among the Platonic solids in having faces with an even number of sides and, consequently, it is the only member of that group that is a zonohedron (every face has point symmetry).
The symmetries of a regular tetrahedron correspond to those of a cube which map each tetrahedron to itself; the other symmetries of the cube map the two to each other.
www.reference.com /browse/wiki/Cube_%28geometry%29   (635 words)

  
 ARAGONITE (Calcium Carbonate)
Instead they lie in two planes that point in opposite directions; destroying the trigonal symmetry that is characteristic of calcite's structure.
To illustrate this, imagine the symmetry of an equilateral triangle; a three fold rotation with three mirror planes that cross in the center.
Now join two of these triangles together at their bases and you have a diamond-shaped figure with the symmetry of a two fold rotation with one mirror plane in the middle.
mineral.galleries.com /minerals/carbonat/aragonit/aragonit.htm   (1091 words)

  
 Laplink Software - Press Releases - Infowave Expands Symmetry Pro Distribution With LapLink Agreement
"Symmetry Pro is a natural fit for users of PDAsync who want to add a real-time component to their wireless computing," said Todd Rupley, vice president of marketing and sales for LapLink.
Symmetry Pro works with the most sophisticated mobile computing devices available today and supports a variety of wireless networks, giving users maximum flexibility.
Symmetry Pro is more than just e-mail " users are able to perform all calendaring functions, query all contact lists and interact with attachments on capable devices.
www.laplink.com /media/press_releases/38.html   (657 words)

  
 Sudoku Players' Forums :: View topic - Sudoku Symmetry - Formalized
The same goes for the symmetry itself: two symmetries (ops 2-6 from that list) are "essentially" the same if one is the conjugate of the other.
If i understood it now, then 180 degree rotational symmetry is represented in class 79, diagonal symmetry in 37, chunk symmetry in 7, box symmetry in 28 and 90 degree symmetry in 86.
But there cannot be a grid with this symmetry, because in one unit (box 8) there are 3 fixed cells and 3 pairs of cells.
www.sudoku.com /forums/viewtopic.php?p=40549   (918 words)

  
 Principles of Virus Architecture
A body with cubic symmetry possesses a number of axes about which it may be rotated to give a number of identical appearances.
In this way it is possible to build a variety of complicated bodies in which 5:3:2 symmetry is preserved and in which the number of subunits is a multiple of 60 as predicted by Crick and Watson.
With the advent of negative staining, it became obvious that the myxo- and paramyxo-viruses consisted of an inner nucleo-protein component with helical symmetry surrounded by an envelope of characteristic morphology.
www.uct.ac.za /depts/mmi/stannard/virarch.html   (1262 words)

  
 Symmetry and Polygons
Although the line of symmetry of an isosceles triangle is an angle bisector, median, perpendicular bisector, and an altitude, in most triangles, these lines are different.
The symmetry diagonal of a kite is a perpendicular bisector of the other diagonal.
Other symmetries are discrete instead of continuous, such as the three known as CPT: charge conjugation, parity, and time reversal.
www.andrews.edu /%7Ecalkins/math/webtexts/geom06.htm   (2551 words)

  
 Pharyngula::Symmetry breaking and genetic assimilation
The only question here is whether it is a significant factor in evolution, and that is where Palmer's paper comes in: he argues that we can see evidence of genetic assimilation in the evolution of a rather important feature in evolution, bilateral asymmetry.
A hallmark of the Bilaterians, like us and flatworms and fish and cows, is bilateral symmetry: we have left and right halves that are at least superficially mirror images of one another.
Our hearts are lopsided because one half has a harder job to do than the other; our livers are mostly on one side of our body; and some organisms, such as snails, have a characteristic handedness to their spiral form.
www.pharyngula.org /index/weblog/comments/symmetry_breaking_and_genetic_assimilation   (2945 words)

  
 ScienceDaily: Indiana University Scientists First To Detect Rare Nuclear Fusion Violating Charge Symmetry
If this symmetry violation had happened to be in the other direction, hydrogen would not have survived after the Big Bang, and the universe would not have the hydrogen fuel that keeps stars shining, including our sun, making human life possible.
One effect of this charge symmetry violation is that the neutron is slightly heavier than its charged partner, the proton.
The rate at which the rare fusion process occurs is expected to be a key piece of information in finding the cause for this violation of charge symmetry, he said.
www.sciencedaily.com /releases/2003/04/030409075535.htm   (925 words)

  
 Symmetry and frustration in protein energy landscapes: A near degeneracy resolves the Rop dimer-folding mystery -- Levy ...
Symmetry and frustration in protein energy landscapes: A near degeneracy resolves the Rop dimer-folding mystery -- Levy et al.
Symmetry and frustration in protein energy landscapes: A near degeneracy resolves the Rop dimer-folding mystery
Because of the near symmetry of the molecule, mutations
www.pnas.org /cgi/content/abstract/102/7/2373   (381 words)

  
 Read This: Women, Art And Geometry In Southern Africa
For some of the possible strip symmetry groups a description of the symmetries is given and an example of a woven design having that symmetry group is pictured.
It turns out that all seven possible strip symmetry groups are represented in the woven handbag designs from this area.
Many are examined and seen to have dihedral symmetry groups, generated by a rotation of finite order and a reflection, and some are seen to have cyclic symmetry groups, generated by a rotation of finite order.
www.maa.org /reviews/wagsa.html   (766 words)

  
 Effect of Rotational Symmetry on Colored Lattices -- Harker 75 (12): 5751 -- Proceedings of the National Academy of ...
Effect of Rotational Symmetry on Colored Lattices -- Harker 75 (12): 5751 -- Proceedings of the National Academy of Sciences
This is the order of the factor group {L/L'}, and is also the number n of colors present.
The crystal systems-i.e., the combinations of rotational symmetry axes-of L
www.pnas.org /cgi/content/abstract/75/12/5751   (185 words)

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