
	Where results make sense

Topic: Frieze group

Related Topics

Symmetry group

Translation

Concept testing

Garfield, Maine

Gundam X

Lawrence Dallaglio

Gerard Philipe

Pincer movement

Sandbar Shark

Gary Humphries

Teri Hatcher

3323 Turgenev

Trefoil knot

Gustav Schwab

In the News (Sat 26 Jul 08)

Gordon Brown

Derby County

Mike Huckabee

Lute Olson

Pearl Harbor

Sonia Gandhi

Ricky Hatton

Narendra Modi

Jesus Christ

Rudy Giuliani

	Frieze group - Wikipedia, the free encyclopedia
		Formally, a frieze group is a class of infinite discrete symmetry groups for patterns on a strip (infinitely wide rectangle), hence a class of groups of isometries of the plane, or of a strip.
		In the case of symmetry groups in the plane, additional parameters are the direction of the translation vector, and, for the frieze groups 2, 3, 5, 6, and 7, the positioning perpendicular to the translation vector.
		A symmetry group in frieze group 1, 3, 4, or 5 is a subgroup of a symmetry group in the last frieze group with the same translational distance.
	en.wikipedia.org /wiki/Frieze_group (1064 words)

	Frieze group (via CobWeb/3.1 planetlab2.isi.jhu.edu) (Site not responding. Last check: 2007-11-03)
		The elements of the group are therefore isometries of the plane, or of a strip.
		Each of the frieze groups is a subgroup of this last group, which is the symmetry group of the simplest periodic pattern in the strip (or the plane): a "row of dots" Z × {0}.
		This group is the "largest" frieze group and requires three generators, with one generating set consisting of a translation, the reflection in the horizontal axis and a reflection across a vertical axis.
	www.datamass.net.cob-web.org:8888 /fr/frieze-group.html (656 words)

	Wallpaper group - Wikipedia, the free encyclopedia
		A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern.
		Two such isometry groups are of the same type (of the same wallpaper group) if they are the same up to an affine transformation of the plane.
		Frieze groups, of which two are isomorphic with Z).
	en.wikipedia.org /wiki/Wallpaper_group (4680 words)

	Stone by Stone Description, South
		The south side of the frieze is preserved fragmentarily and the sculptured surface was badly damaged in the tremendous catastrophe suffered by the Parthenon in the explosion of 1687.
		As in the north frieze, the sections evident in the south, are: a) the horsemen, b) the chariots and c) the sacrificial procession.
		The horsemen of the fourth group (20-25) are clad in short chiton and chlamys, of the fifth (26-31) anatomical cuirass over short chiton and boots.
	www.ekt.gr /parthenonfrieze/description/south.jsp?lang=en (508 words)

	Frieze Groups and Other Things
		Frieze groups are closely related to wallpaper groups.
		There are only two possible angles for reflections in a frieze group, parallel to the translation on the center line of the pattern or perpendicular to the translation.
		Dihedral groups are all realizable in the plane.
	jwilson.coe.uga.edu /EMT668/EMAT6680.F99/McCallum/WALLPA~1/FRIEZE~1.HTM (555 words)

	3.2 The Symmetry Group of Friezes
		The name originated from the friezes occurring in art [6, 8], the decorations obtained by repeating one chosen, symmetric or asymmetric motif.
		By choosing possible orthogonal groups for the frieze groups, respecting the condition that it must leave the lattice invariant (Theorem 3.1) we will demonstrate that there are 7 non-isomorphic frieze groups.
		For completing the classification of frieze groups, we need to show that among the 7 groups derived there are no mutually isomorphic ones.
	members.tripod.com /vismath1/ana/ana5.htm (464 words)

	Santo to Signal: Media and Process (Site not responding. Last check: 2007-11-03)
		The various rosette symmetry groups produced during the study also sparked the idea that the Dolorosa could be presented as symmetry design for rose windows.
		The rosette was selected for purposes of increasing visual and spatial contrast between the RP pattern and the symmetry, by reducing a one-to-one mapping yet establishing congruence by preserving the vertical and horizontal axes of symmetry.
		The symmetry grouping from the first phase space portrait to the second is a transformation from the symmetry group of ornaments to the symmetry group of rosettes and to the symmetry group of frieze.
	www.upd.edu.ph /~cfa/digitalmedia/digiteer/signal/signal3.html (2979 words)

	Frieze Patterns
		frieze, in classical architecture, the middle of the three main divisions of an entablature (q.v.
		Groups of isometries that keep a given straight line invariant and that include translations along the line, are called frieze groups with center at this line.
		96-100] to associate multiplicative frieze patterns with such diverse objects as triangulations of convex polygons, binary trees with a fixed number of nodes, or taxicab routes between two points in opposite corners of a square.
	www.cut-the-knot.org /triangle/Frieze.shtml (518 words)

	frieze.html
		The frieze groups are a collection of infinite symmetric groups of periodic designs in a plane.
		All frieze groups can be categorized by 7 different groups that have special symmetries.
		The following is an example of each of the frieze groups where the blue line represents the horizontal axis of reflection, the green line represents the vertical axis of reflection, the purple lines represent the glide-reflection, and the red dot represents the point where a 180 degrees rotation occurs.
	math.ucsd.edu /~jwavrik/proj107b/frieze1.html (157 words)

	Frieze Patterns - Mathematics and the Liberal Arts
		The author's classification of double frieze patterns focuses on how the patterns are generated horizontally and vertically, and may be more useful for archaeological purposes than classification by the related plane patterns.
		Discusses the types of frieze patterns and bichromatic strip patterns occurring in the pottery of the pueblo of San Ildefonso in New Mexico.
		All 7 strip patterns and 12 of the 17 frieze patterns occur, though about five of the frieze patterns which do occur are rare: two may only occur once, and one of these may be based on a European model.
	math.truman.edu /~thammond/history/FriezePatterns.html (2635 words)

	How to Weather the Down Cycle - CFO.com (Site not responding. Last check: 2007-11-03)
		And, given all of the signs of an economic slowdown, Frieze expects to be swamped with demand for his services for the foreseeable future.
		Frieze says that there are several common sense approaches management can take to steer a viable firm clear of trouble.
		Frieze also takes issue with the school of corporate management that, in effect, says you should only provide information to a bank or lender when asked.
	www.cfo.com /printable/article.cfm/2987006 (582 words)

	Kenneth S. Frieze (Site not responding. Last check: 2007-11-03)
		Frieze was the founder and CEO of RetailExchange.com, now known as the Wholesale Division of Gordon Brothers Group.
		Frieze was also a member of Gordon Brothers Group's Board of Advisors for 12 years during which he served in various executive capacities.
		Frieze holds a BA from Lehigh University and an MBA from the Wharton School of Business at the University of Pennsylvania.
	www.gordonbrothers.com /firm/professionals/bios.cfm?id=kfrieze (127 words)

	Frieze of American History
		." The frieze is painted in grisaille, a monochrome of whites and browns that resembles sculpture.
		The frieze was finally completed in 1953 and dedicated the next year.
		A group of Pilgrims, led by William Brewster, is shown giving thanks for their safe voyage after their arrival in Plymouth, Massachusetts.
	www.aoc.gov /cc/art/rotunda/frieze/index.cfm (1626 words)

	2-D patterns III
		That's why we can say that the frieze is 'carried' by the two-dimensional plane (and is a subgroup of this plane, when the latter is seen as an infinite and continuous group of symmetries) [ NOTE 1 ].
		Two group elements of the p11 pattern are indicated (their geometric representations and those of all other group elements -- red and blue areas -- extend beyond the lattice connection line, implying that in the present case (p11) each group element is represented by a vertical band, extending indefinitely upwards as well as downwards).
		The group as well as each of its subgroups have a countable infinite number of elements, so the elements of the group can be set in a one-to-one correspondence with those of any of its subgroups, while it is at the same time obvious that products are preserved.
	metafysica.nl /groups/d2_patterns_3.html (2650 words)

	2-D patterns IV
		The group pmg can be generated by a glide reflection g parallel to the frieze axis and a reflection m in a reflection line perpendicular to the frieze axis.
		When a frieze pattern becomes finite at least in the direction of the frieze axis (which is the direction of repetition of units), it changes into a rosette.
		When a 'frieze' is finite in the direction of the frieze axis, but in such a way that the (finite) number of repetitions is still quite large, we can describe it as a pattern with approximate frieze symmetry.
	metafysica.nl /groups/d2_patterns_4.html (2410 words)

	Chapter 1.7
		The Cayley diagram of the group mg is derived as the orbit of a point in general position with respect to the group mg.
		All cases of subgroups which are not normal subgroups of the given group are denoted in the tables of (minimal) indexes of subgroups in groups by italic indexes (e.g., [mg:mg]=3).
		Also, the different possibilities that the group mg offers, e.g., the possibilities for antisymmetry and color-symmetry desymmetrizations, the ways of varying the form of the fundamental region, construction possibilities etc., become evident after the analysis of this symmetry group of friezes from the point of view of the theory of symmetry.
	www.emis.de /monographs/jablan/chap17.htm (1999 words)

	Frieze of Life - Press
		Frieze of Life (Brian Vannoy, percussion; Geoff Harper, bass; Jay Rouston, trumpets; Chris Stover, trombone; Mark Taylor, saxophones; Greg Sinibaldi, tenor sax and bass clarinet) has some of that lugubrious charm we hear from William Parker's Little Huey Creative Music Orchestra (I admit, a much bigger group).
		One small group of horns does a blisteringly complex staccato run of notes, while the other subgroup drifts pitch-shifting tonal horizons (as opposed to tonal centers?) past and through them.
		As soon as Frieze Of Life starts their CD sputtering and bellowing over massive-sounding drums on “Moose Knuckles,” you think you know what you’re in for: a session of scorching old school “energy music.” There is some of that but also more melodic passages as well.
	www.friezeoflife.com /press.htm (963 words)

	Frieze Art Fair (Site not responding. Last check: 2007-11-03)
		The fourth edition of Frieze Art Fair closed on Sunday 15 October, with 152 attending galleries from 21 territories, curators, dealers, collector, artists and visitors unanimously announcing it a record success for both the fair and for London.
		Frieze Talks were fully booked, as were all the screenings and performances held at The Artists Cinema.
		This year, Frieze Education was expanded thanks to Deutsche banks' generous support, to encompass a four day programme in conjunction with Camden Arts Centre, of artist-led, practical sessions for familie and young people, all of which were fully booked.
	www.friezeartfair.com (353 words)

	resources
		An analysis of crystals is preceded by an exploration of symmetry around a point in the plane, repeating patterns on a strip (one-dimensional space groups), repeating patterns in the plane (two-dimensional space groups), symmetry around a point in three dimensions (3-dimensional point groups) and repeating patterns in space (three-dimensional space groups).
		This puzzle is an example of a permutation group in geometry with 322560 elements.
		Excellent resources about group theory are provided in pdf format, including clear instructions on how to use the program.
	michaelshepperd.tripod.com /resources/groups.html (938 words)

	Course Description
		Each group will be responsible for developing a scale of 10 to 20 items for measuring some personality concept or some type of attitude or for evaluating some type of knowledge or ability.
		Before December 3, meets with Dr. Frieze to clean data, and to analyze validity and reliability.
		Shares plans with Dr. Frieze before data collection is initiated and reports on actual data collection afterwards.
	www.pitt.edu /~frieze/syllab-Methods.html (1259 words)

	frieze1
		Frieze designs are border decorations where a particular pattern is repeated indefinitely in a linear fashion.
		We will then look at the algebraic structure of this collection of functions under the operation of composition, and show how the seven frieze groups are generated.
		A subset of a group which is also a group under the same operation is called a subgroup.
	mathcentral.uregina.ca /RR/database/RR.09.02/mcdonald1 (2124 words)

	THEME AND VARIATIONS...
		In the infinite symmetry group, spatial transformations occur where the basic movement is either translation or a glide reflection.
		In this group, designs, which are invariant under one directional translation, are called the frieze group, and designs under two directional translations are called the wallpaper group (March and Steadman, 1971).
		With this diagram, the symmetry group of the square can be computed to produce all of the other elements, one out of eight transformations in the case of the symmetry of the square.
	www.mi.sanu.ac.yu /vismath/visbook/sydpark (1189 words)

	Tessellations \| Macmillan Mathematics
		The classification of patterns can be further refined according to whether the symmetry group contains translations in one dimension only (a frieze group), in two dimensions (a wallpaper group), or three dimensions (a crystallographic group).
		Within these categories, different groups can be distinguished by the number and kind of rotations, reflections, and glides that they contain.
		In total, there are seven different frieze groups, seventeen wallpaper groups, and 230 crystallographic groups.
	www.bookrags.com /research/tessellations-mmat-04 (859 words)

	Mathematics and crafts (Site not responding. Last check: 2007-11-03)
		A frieze pattern consists of a motif which is repeated at regular intervals along a straight line.
		So frieze groups are the symmetry groups of those patterns that include a translation.
		In practice, friezes are obviously finite in length, but theoretically we regard them as infinite.
	sunsite.wits.ac.za /math/frieze.htm (168 words)

	Frieze Groups (Site not responding. Last check: 2007-11-03)
		Lengthwise, a frieze pattern may have reflection symmetry or just translation symmetry.
		Each possible combination of symmetries is called a frieze group.
		The exercises on the next two pages will help you figure out which frieze groups have which symmetries.
	www.geom.uiuc.edu /~lori/kali/friezegrp.html (123 words)

	Frieze of Life - Home
		November 22, 2005 - Frieze of Life is busy planning a number of tours for 2006.
		The award is given to the group with the most votes.
		April 13, 2004 - We are happy to announce that Frieze of Life has been nominated as jazz/avant garde group of the year for the Seattle Weekly Music Awards.
	www.friezeoflife.com (513 words)

	MINUTES
		We had an extensive report and discussion from the Sexual Harassment group, featuring Irene Frieze’s account of their meeting with John Greeno and a great analysis of both the technical and substantive issues related to the website by Randi Koeske.
		The first sentence of the mission statement is equivalent to other committee statements and stakes out a different terrain from the other groups on campus that are working on women’s issues (PACWC, etc.).
		The suggestion is to really try to cover the interests/needs/issues of all women on campus, to be part of the governance structure at the level of the senate with faculty, staff, students, branch campuses all included.
	www.pitt.edu /~frieze/NOV04min.htm (805 words)

	Frieze groups (Site not responding. Last check: 2007-11-03)
		The finite symmetry group of the strip is D
		The elements of this group are: the identity I, a reflection R in the horizontal, a reflection V in a vertical line (through 0 say) and a half turn H (about 0 say).
		In each case we give a pattern which is mapped to itself by the group.
	www-groups.dcs.st-and.ac.uk /~john/geometry/Lectures/L9.html (190 words)

Try your search on: Qwika (all wikis)