UM-VRL: Moebius Strip In VRML A virtual reality model (VRML) of the Moebius Strip with an animated procession of balls moving in an endless loop along this unique onesided surface http://www-vrl.umich.edu/project2/moebius/
Extractions: The mathematician A. F. Moebius (1790-1886) discovered this one-sided surface that became known as the Moebius Strip or Moebius Band. The artists M. C. Escher (1898-1972) was intrigued by the strip's puzzling geometry and included a procession of ants crawling along a Moebius Band in his collection of drawings depicting spatial illusions. The Moebius Strip, however, is not an illusion. It can be modeled in 3D and its topological features can be explored using an interactive computer model. Inspired by Escher's work, Bert Schoenwaelder created this unique VRML application with an animated procession of balls during his internship at the University of Michigan Virtual Reality Laboratory. Main Features A simple endless band in the form of belt-shaped loop (below left) has two distinct surfaces and two edges. Moving from one surface to the opposite site requires crossing one of the edges. The Moebius Strip is an endless band that includes a half twist (below right). Amazingly, the band has only one surface and only one edge. Moving along the surface (like Escher's ants) will bring you to the opposite site without crossing the edge.
Möbius Strip - Wiktionary A onesided surface formed by identifying two opposite edges of a square in opposite senses. A narrow strip given a half twist and joined at the ends, forming a three http://en.wiktionary.org/wiki/Möbius_strip
Extractions: Definition from Wiktionary, the free dictionary Jump to: navigation search Möbius strip. See also Mobius strip Wikipedia has an article on: Möbius strip Wikipedia After the German mathematician and discoverer of the Möbius strip August Ferdinand Möbius strip Möbius strip plural Möbius strips topology A one-sided surface formed by identifying two opposite edges of a square in opposite senses. A narrow strip given a half twist and joined at the ends, forming a three-dimensional embedding of the above. one-sided surface Bulgarian: bg (bg) m Catalan cinta de Möbius ca (ca) f banda de Möbius ca (ca) f Chinese: Czech: Möbiova páska cs (cs) f Danish: möbiusbånd da (da) n Dutch: Möbiusband nl (nl) m Finnish: Möbiuksen nauha fi (fi) French: ruban de Möbius fr (fr) m Galician banda de Möbius gl (gl) f German: Möbiusband de (de) n Hebrew: he (he) f Hungarian: Möbius-szalag hu (hu) Ido ... (io) Indonesian: pita Möbius id (id) Interlingua ... (ia) Irish: stiall Möbius ga (ga) f Italian: nastro di Möbius it (it) m Japanese: ja (ja) Korean: ko (ko) Latin: moebii taenia la (la) f Luxembourgish Möbiusschläif lb (lb) Norwegian: möbius’ bånd no (no) n Portuguese: fita de Möbius pt (pt) f Russian: ru (ru) m ru (ru) f Serbian: sr (sr) f Slovene: Möbiusov trak sl (sl) m Spanish: banda de Möbius es (es) f
UNH Department Of Mathematics & Statistics www.wunderland.com/WTS/Andy/SecretWorld/MoebiusStrip.html www.nexusjournal.com /PetRob.html www.uvm.edu/~mstorer/escher/moebius.html http://www.math.unh.edu/cgi-bin/generatePage.cgi?moebius
ZOOM . Activities . Phenom . Mobius Strip Next Phenom. Mobius Strip Sent in by Wendy of Urbandale, IA Make a neverending, one-sided shape. http://pbskids.org/zoom/activities/phenom/mobiusstrip.html
Extractions: Make a never-ending, one-sided shape. All you need is some paper, tape and a pair of scissors. First, cut out a long, thin strip of paper. Holding it the tall way, label the top left corner "A," the top right corner "B," the bottom left corner "C," and the bottom right corner "D." Give the strip a twist and tape the two ends together so that "A" touches "D" and "B" touches "C." Now check this out. If you start drawing a line around the strip, you'll end up right back where you started. See it doesn't have a front or a back! The top and the bottom are the same. The twist in the strip connects what was the top to the bottom, making one big side. What's really interesting about this strip is all the things you can do with it. Start cutting your strip down the middle, like you are cutting two, thinner strips. But you don't get two! You end up with a much larger, thinner Mobius Strip. home sitemap help contact us Back to ZOOMphenom Index Printer-Friendly Version
Extractions: cond-mat.mtrl-sci what is this? Authors: Santanu K. Maiti (Submitted on 7 Oct 2009) Abstract: We explore electron transport through a moebius strip attached to two metallic electrodes by the use of Green's function technique. A parametric approach is used based on the tight-binding model to characterize the electron transport through such a bridge system and it is observed that the transport properties are significantly affected by (a) the transverse hopping strength between the two channels and (b) the strip-to-electrode coupling strength. In this context we also describe the noise power of the current fluctuations that provides a key information about the electron correlation which is obtained by calculating the Fano factor ($F$). The knowledge of this current fluctuations gives important ideas for fabrication of efficient electronic devices. Comments: 9 pages, 8 figures
Sarah-marie's Knitted Mobius Bands Knitted M bius Bands. A M bius band, a.k.a. M bius strip, is a nonorientable surface (has only one side) with a boundary. The most common way to make one is by taking a http://www.toroidalsnark.net/mkmb.html
Extractions: local yarn store ...several are shown in the left-hand picture. Note that the right-hand picture has a tiny Klein bottle public ravelry page In 1999, it was pointed out to me that K embedded in it. Here are pix of the finished product. The base yarn is handspun wool/silk, the edges are a color of Lopi no longer produced, and the vertices are some random wool yarn which felted when I dyed it purple. Yes, it was stupid to dye it loose in the washing machine; now it's lumpy. Oh, well.
Cognitive Egocentrism | Augean Stables Hamas The Moebius Strip of Cognitive Egocentrism Personified. Pingback THE PROJECTION OF ONES OWN MENTALITY ONTO OTHERSNOT WISE! 4international http://www.theaugeanstables.com/reflections-from-second-draft/cognitive-egocentr
Extractions: Augean Stables Skip to content COGNITIVE EGOCENTRISM The projection of one’s own mentality or “way of seeing the world” onto others, e.g., the teenager who is obsessed with sex, and assumes the same about everyone else. In the current situation of globalization, cognitive egocentrism has its greatest impact in the political relationships between people coming from civil societies and those raised in prime divider societies. Since the basic political principle of Prime divider societies is “rule or be ruled,” “do onto others before they do onto you,” political actors from those cultures assume the same zero-sum , domineering intentions in their opponents (the “enemy”). Since the basic political principles of civil societies is “I’ll give up trying to dominate and trust you to give it up as well,” “if I’m nice to you, you will be nice in return,” assume positive-sum attitudes in their opponents (the “other”). The current situation testifies to a dangerous mis-apprehension that works to the distinct disadvantage to civil society. The media, in particular, as the representative of civil society, emphasizes its role as empathizer, often failing to defend civil society, even exposing it to danger. LIBERAL COGNITIVE EGOCENTRISM (LCE): The projection of good faith and fair-mindedness onto others, the assumption that “other” shares the same human values, that everyone prefers positive sum interactions. In a slightly more redemptive mode, LCE holds that all people are good, and if only we treat them right, they will respond well. This is a form of empathy that, like
The Mobius Strip more about the Mobius Strip, read The Mobius Transformation , and The Double Mobius Interdependence by John Galleher. For another perspective, view a Moebius Strip http://mobiusproductsandservices.com/tms.html
Extractions: The Mobius Strip was discovered in 1858 by German mathematician and astronomer August Ferdinand Mobius (1790-1868). The mathematical equation is known as The Mobius Transformation, also known as bilinear transformation or linear fractional transformation. (Webster's dictionary:" A map of the complex plane to itself in which a point "z" is mapped to a point "w" by w=(az+b)/(cz+d), where a,b,c, and d are complex numbers and ad-bc does not equal zero.") It is a continuous loop with one surface and one edge formed by twisting one end of a long, thin rectangular strip 180 degrees (1/2 twist) and attaching this end to the other. This fascinating shape expresses Transformation. Today the Mobius Strip has been chosen as the Universal symbol of recycling. It represents the process of transforming waste materials into useful resources. On a personal level, the Mobius strip represents a willingness to move WITH the constantly changing cycles in our Life process, transforming our challenges into useful solutions. The Mobius Strip reveals planetary transformation,as well. Historically, there has always been Earth
Möbius_strip | Define Möbius_strip At Dictionary.com –noun Geometry . a continuous, onesided surface formed by twisting one end of a rectangular strip through 180 about the longitudinal axis of the strip and attaching this http://dictionary.reference.com/browse/Möbius_strip
Moebius Strip Riddle Solved At Last | COSMOS Magazine Jul 16, 2007 Popularised by the Dutch artist M.C. Escher, a Mbius (or Moebius) strip entails taking a strip of paper or some other flexible material. http://www.cosmosmagazine.com/node/1457
Möbius_strip | Define Möbius_strip At Dictionary.com –noun Geometry . a continuous, onesided surface formed by twisting one end of a rectangular strip through 180 about the longitudinal axis of the strip and attaching this http://dictionary.reference.com/browse/Möbius_strip?fromRef=true
The Mobius Band And Other Surfaces - EscherMath Explorations. You can learn more about the M bius Strip here M bius Strip Exploration; M bius Strip. The M bius Strip is an interesting surface. http://euler.slu.edu/escher/index.php/The_Mobius_Band_and_Other_Surfaces
Extractions: Relevant examples from Escher's work: You can learn more about the Möbius Strip here: The Möbius Strip is an interesting surface. It locally looks like any other surface. Close-up we see a 2-dimensional object. The surface becomes more interesting when we try to decide how many sides this surface has. If we take a flat piece of paperr, then we can easily convince ourselves that it has exactly 2 sides. We could for instance color one side of our paper blue and the other side red, and we would never run into any problem. This is not true for the Möbius Strip however. If we would take a marker and start coloring one side of the Möbius Strip we would realize after a while that after we had colored that side, we had colored the entire surface! In other words this is a one-sided surface. It is actually very easy to create a Möbius Strip for one's self. Take a strip of paper and glue the ends together after giving the strip a half-twist. This proces is illustrated in the figure below:
[Gilles Jobin] DOCUMENTATION Dance film 26 minutes / choreography THE MOEBIUS STRIP recorded in december Dance film 71 minutes / adaptation of the choreography The Moebius Strip + http://www.gillesjobin.com/spip.php?rubrique114
Möbius Strip DC - Washington, DC Indie Rock Band Welcome to M bius Strip DC Washington DC's premier indie rock band! M bius Strip DC show announcements and pics can be found on our M bius Strip DC Facebook page! http://mobiusstripdc.com/
Extractions: Welcome to Möbius Strip DC - Washington DC's premier indie rock band! Möbius Strip DC show announcements and pics can be found on our Möbius Strip DC Facebook page! Contact us at band [at] mobiusstripdc [dot] com Möbius Strip - album released July 29, 2010! Buy your copy online today at Left Out Records for $5 + shipping! Möbius Strip t-shirts! Send us a note with your shirt size to band [at] mobiusstripdc [dot] com to reserve your own shirt for the low price of $10! FB.init("c0e44348d761e77db0df95063e7bb170"); Möbius Strip on Facebook Shows 2010-10-25 Hexagon (Baltimore) 2010-08-24 Asylum 2010-07-31 Comet Ping Pong 2010-07-30 Tritone (Philadelphia) 2010-06-26 St. Stephen's Church 2010-05-12 Chief Ike's Mambo Room 2010-03-11 Solly's U St Tavern 2010-02-05 Long View Gallery 2010-01-05 Asylum 2009-11-15 Arlington Independent Media 2009-11-09 Black Cat 2009-11-03 Asylum 2009-10-31 Local 16 2009-10-14 Chief Ike's Mambo Room 2009-10-11 Washington Convention Center 2009-09-15 Asylum 2009-08-08 St. Stephen's Church 2009-07-21 Asylum 2009-07-15 Chief Ike's Mambo Room 2009-05-30 Artomatic 2009-05-25 Black Cat 2009-04-29 Velvet Lounge Möbius Strip is Andrew Etter, Mark Kennedy and Pitt Stains
Hannover Pacts With Oleum Rain Design For "Moebius Strip" Comic Sep 13, 2010 Hannover House, the entertainment division of Target Development Group, Inc. ( PINKSHEETS TDGI), has engaged Oleum Rain Design to create a http://www.marketwire.com/press-release/Hannover-Pacts-With-Oleum-Rain-Design-fo
Paper Strip What can be done with a paper strip plane annulus, Moebius Strip, torus, Klein Bottle, Projective Plane http://www.cut-the-knot.org/do_you_know/paper_strip.shtml
Moebius Strip File Format PDF/Adobe Acrobat Quick View http://linuxplumbersconf.org/2009/slides/Nicholas-A.-Bellinger-LIO-LPC-2009.pdf
