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	Möbius strip - Wikipedia, the free encyclopedia
		Topologically, the boundary of a Möbius strip is a circle.
		Möbius strips are common in the manufacture of fabric computer printer and typewriter ribbons, as they allow the ribbon to be twice as wide as the printhead whilst using both half-edges evenly.
		In "A. Botts and the Möbius Strip", a short story by William Hazlett Upson first published in 1945 in the Saturday Evening Post, the protagonist secretly restitches a conveyor belt to form a Möbius strip to frustrate a superior's attempt to "paint the outside, but not the inside" of the belt as a safety measure.
	en.wikipedia.org /wiki/Mobius_strip (1531 words)

	PlanetMath: Möbius strip
		A Möbius strip is a non-orientiable 2-dimensional surface with a 1-dimensional boundary.
		The Möbius strip is therefore a subset of the solid torus.
		This is version 16 of Möbius strip, born on 2002-08-08, modified 2006-09-09.
	planetmath.org /encyclopedia/MobiusStrip.html (138 words)

	Möbius strip
		The Möbius strip or Möbius band (named after the German mathematician and astronomer August Ferdinand Möbius) is a topological object with only one surface and only one edge.
		Alternatively, if you cut along the strip, about a third of the way in from the edge, you will get two strips; one is a thinner Möbius strip, the other is a long strip with two half-twists in it.
		The Möbius strip is a two-dimensional smooth manifold (a surface) which is not orientable.
	www.ebroadcast.com.au /lookup/encyclopedia/mo/Moebius_band.html (527 words)

	Möbius strip
		Alternatively, if you cut along a Möbius strip, about a third of the way in from the edge, you will get two strips; one is a thinner Möbius strip, the other is a long strip with two half-twists in it.
		The Möbius strip is a standard example used to illustrate the mathematical concept of a fiber bundle.
		There have been technical applications; giant Möbius strips have been used as conveyor belts that last longer because the entire surface area of the belt gets the same amount of wear, and as continuous-loop recording tapes (to double the playing time).
	www.xasa.com /wiki/en/wikipedia/m/mo/moebius_strip.html (903 words)

	Mobius Strip - Making Corrections
		For some this journey is going to consciously move you along the Mobius Strip to observe yourself at a time of when a warning went unheeded and your destiny was forever changed in all realities.
		The Mobius strip was invented by August Mobius, a German mathematician.
		If it can be imagined that the material from which the strip is formed exists in two dimensions only, then the Mobius strip exists within the limitations of two and three dimensions simultaneously.
	www.crystalinks.com /mobius.strip.html (2127 words)

	RTC > Mobius Strip
		RTC North’s logo is based on a curious surface known as a ‘mobius strip’.
		The mobius strip was named after the 19th Century German mathematician and astronomer, August Ferdinand Mobius.
		Mobius was a pioneer in the field of topology and along with his better known contemporaries, Riemann, Lobachevsky and Bolyai, created a non-Euclidean revolution in geometry.
	www.rtcnorth.co.uk /mobius.asp (108 words)

	Halfbakery: Mobius strip tees
		Mobius strip [link] shaped golf tees would keep tee snapping to a minimum and give those of us that suck at golf something to fiddle with as the next foursome plays through.
		On that linked mobius, the loop farthest to the right would have a depression for the ball to sit in while the loop farthest to the left would be folded flat to stick in the grass.
		Mobius strippyness of bag design means that tea leaves circulate endlessly through the bag without settling to give you a rich depth of flavour.
	www.halfbakery.com /idea/Mobius_20strip_20tees (671 words)

	Mobius Strip
		The Mobius strip is sheet of rectangular strip which is given a half-twist with its ends attached.
		It was invented by Augustus Ferdinand Mobius (1790-1868), a German astronomer and mathematician in 1858.
		In fact, a conveyor belt based on the Mobius strip has been patented by B.F.Goodyear Co. This belt is claimed to lasts longer since the useful surface of the strip is doubled.
	www.logicville.com /sel5.htm (81 words)

	mobiusdissection
		Cutting a Mobius strip and its relatives provides an opportunity to visualize what will happen, make hypotheses, and to be surprised by the results of an experiment.
		You end up with two loops, you've cut the edge off the original Mobius strip leaving a thinner version of itself intact at the center, and producing a second loop, twice as long, with two half-twists.
		This is why marking a line down the middle of the Mobius strip, 1/2 way from one edge, produces a different result from all other fractions.
	isaac.exploratorium.edu /~pauld/activities/mobius/mobiusdissection.html (606 words)

	Möbius Strip
		A Möbius Strip is a twisted loop, normally made of paper.
		Since a Möbius strip has only one side, the wear and tear on the belt was spread out more evenly and they would last longer.
		One is a thinner Möbius strip, the other is a long strip with four twists in it.
	www.questacon.edu.au /html/mobius_strip.html (668 words)

	Mobiusdecay
		Notice that the two half-twist strip can decay in two ways, into a strip with two half-twists and a strip with no twists, and also into two strips each with one half-twist.
		Answer one is a Mobius strip with +1 half-twist and the other is an anti-Mobius strip with -1 half-twists.
		Twist the top of the Mobius strip to unwind the twists on one side of your hands and move them to the originally untwisted side.
	isaac.exploratorium.edu /~pauld/activities/mobius/mobiusdecay.html (560 words)

	What On Earth?! Mobius Strips
		Run your finger along the "outside" of the Mobius strip, and you will pretty soon discover that the "outside"; has become the "inside," and in no time at all the "inside" becomes "outside" again, and your finger has traveled the entire area of the once double sided band!
		A daring two-dimensional traveler embedded in a Mobius strip would not only have to abandon the concepts of "in" and "out" but also left and right.
		For instance, a flat, left-handed, one-sided adventurer embedded in a Mobius strip would flip and become right handed, and left handed again, after traveling the length of the strip.
	www.geocities.com /sunjara/mobiusstrip.html (450 words)

	The Mobius Strip and The Möbius Strip
		Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius described the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music.
		Lavishly illustrated, The Mobius Strip is an infinite fountain of strange and wondrous forms that can be used to help demonstrate how mathematics has permeated every field of scientific endeavor.
		The Mobius strip is a metaphor for magic and mystery, and a perpetual icon that stimulates us to dream new dreams and look for depths even in seemingly shallow waters.
	sprott.physics.wisc.edu /pickover/mobius-book.html (1068 words)

	The Mobius Advertising Awards - About Us
		The Mobius name and shape is derived from a scientifically puzzling discovery of a German scientist in the last century.
		A "Mobius" is like a strip of paper that when twisted once and joined at the ends presents a single edge and a single face reversing themselves and continuing indefinitely.
		Thus, the Mobius Statuette is a three-dimensional version of a Mobius strip.
	www.mobiusawards.com /about.htm (155 words)

	Mobius strip (Site not responding. Last check: 2007-11-01)
		A Mobius strip is a very strange shape that has only one edge and only one side mobius strip..
		It is quite interesting,.The purpose of the Mobius strip is to enable sadistic teachers to taunt the.
		With this interpretation, the Mobius strip is traced by a line segment as it.In this case the Mobius strip intersects itself, which was also an issue of.
	www.tangosite.net /mobius+strip.html (383 words)

	Mobius Strip
		The Mobius ring is the actualization of number of major spiritual ideas that are well established in sacred geometry.
		To make a Mobius strip, take a paper page and cut it into a strip (24cm height, 4cm width for the sake of convenience).
		When you cut the Mobius strip into 1/3 you get the bigger ring - the macro and the Creator and the smaller ring - the creatures, the living beings.
	www.ka-gold-jewelry.com /p-articles/mobius-ring.php (482 words)

	MobiusArticle
		Bring the ends of the strip together to make a loop and put a half twist in the loop, so that the top surface of the strip meets the bottom surface of the strip.
		Make another Mobius strip and try this&emdash;rather than cutting the strip in half, start your cut one third of the strip's width in from the edge, as if you were going to cut a skinny ring off the wide ring.
		We know this because the line that we drew on the single side of the mobius strip is still on the doubly twisted mobius paint strip.
	www.exo.net /~pauld/activities/mobius/MobiusArticle.html (2622 words)

	Teachers
		Mobius may be enjoyed at many different levels; pictorially, a simple child’s story, self discovery, appreciation for our own unique abilities, philosophy, science, and inter activity.
		We used a corner of a desk to support the strip as we moved it along.
		I reassured the students that they would be making their own Mobius strips for their stories upon completion.
	mobius.us /teachers.htm (674 words)

	Mobius Infused Lager :: Beer
		Mobius is infused with taurine, ginseng, and caffeine.
		The ingredients Mobius is infused with were inspired by Spence’s many years of hangover and sleepiness associated with drinking.
		A mobius strip is an object with only one surface, created by twisting a long strip of material once and then joining its two ends.
	www.mobiusbeer.com /beer.asp (227 words)

	Mobius Stitch (Site not responding. Last check: 2007-11-01)
		Finally, we present a new stitch that we invented expressly for use in helical mobius strips.
		Figure 10: A helical mobius strip made from mobius stitch has no seams and is composed of a single yarn.
		The challenge to knit a better mobius strip has led us to study the underlying topological principles of knitting.
	www.math.wayne.edu /~isaksen/Expository/vismath-paper/node4.html (152 words)

	Mobius Strip as Geometrical Image of Gay Spirit
		This figure is formed by taking a thin strip of paper (like adding machine tape) and gluing the ends together to form a circular band, but with a twist: left and right, inside and outside are switched.
		A Mobius Strip is an unbounded surface with only one side and one edge: no inside, no outside, no duality.
		The Bodhisattva's third wonder is like the twist in the Mobius strip, doubling back on itself and giving a whole new "dimension" of meaning to what went before.
	tobyjohnson.com /mobiusstrip.html (1956 words)

	Wood Carving Blanks,Basswood Roughouts,Roughouts,Christian Roughouts,Woodcarving Roughouts from White River Crafts
		The original Mobius Strip had only one twist and was easier to understand.
		The three cornered Mobius Strip is a little bit harder to understand.
		A Mobius Strip that isn't split may be seen in the carving instruction sheets shown below.
	www.whiterivercrafts.com /mobius_ro_page.html (360 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-01)
		The widening of the figure (twist in the Mobius strip) is usually over the center of it and in front extending back to thin lines at left top and right bottom.
		There is little chance that the symbol originated as a Mobius strip, since the latter was invented in the 1800's, and the symbol is hundreds (in a sense thousands) of years older.
		Your story is referred to as "possibly apocryphal" here: Mobius Strip http://en.wikipedia.org/wiki/Mobius_strip The Möbius strip is often cited as the inspiration for the infinity symbol, since if one were to stand on the surface of a Möbius strip, one could walk along it forever.
	www.mathforum.com /library/drmath/view/66589.html (423 words)

	Arlo Caine's Web Page / Mathematics / Fun with Mobius Strips (Site not responding. Last check: 2007-11-01)
		The Mobius strip is the first example of a non-orientable surface, and has many peculiar properties.
		This activity guides you through the construction of a Mobius Strip and illustrates some experiments you can do to discover some of the interesting traits of this bizarre little mathematical object.
		If the first Mobius Strip you made was the Mobius Strip with Middle Mark, your next challenge will be to cut the strip in "half" along grey line.
	math.arizona.edu /~caine/Mobius_strips.html (322 words)

	EvolutionBlog : The Mobius Strip
		The trouble is that the Mobius strip has an additional property lacking in the surfaces we considered yesterday.
		Just as the Mobius strip is said to be a surface with only one side, the stitched together Mobius Strips form a single-sided bottle.
		The Mobius Strip is used in many conveyor belts, although workers don't notice it since they see only a small area.
	scienceblogs.com /evolutionblog/2006/08/the_mobius_strip.php (1279 words)

	Philosophy Mobius Knickers
		To make one, take a strip of paper, twist one end by 180 degrees, and glue the ends together, forming a loop.
		Slide the strip through finger and thumb and notice that you have to rotate the strip twice for the dot to reappear.
		Electrons and quarks are behave like mobius strips: Loosely speaking, they "spin" twice before the same "face" is back where it began.
	www.eadon.com /phil/mobiusstrip.php (138 words)

	Math Trek: Möbius and his Band, Science News Online, July 8, 2000 (Site not responding. Last check: 2007-11-01)
		His discovery of what we now call the Möbius strip was published in 1865, in a paper titled "On the determination of the volume of a polyhedron." In that paper, Möbius also proved that there are polyhedra to which no volume can be assigned.
		The magician then invites the spectator to cut each strip in half lengthwise, cutting along the strip until he or she returns to the starting point.
		The second is a Möbius strip, and the third is formed by twisting one end through 360 degrees before joining the ends.
	www.sciencenews.org /articles/20000708/mathtrek.asp (1120 words)

	mobius
		A Mobius strip is a band of paper that's deceptively simple in its appearance and exceptionally twisted in its properties.
		The properties of a twisted strip of paper depend a great deal on the number of times it is twisted.
		A strip of paper has one fl edge, a loop of paper has two edges: fl and orange.
	isaac.exploratorium.edu /~pauld/activities/mobius/mobius.html (622 words)

	BBC - h2g2 - The Amazing Mobius Strip - A337592
		The Mobius strip is a topological device with many amazing properties.
		To construct your very own Mobius strip simply take two rectangular strips of paper and identify the bottom edge with the top edge in reverse, so that each of the bottom corners is identified with the opposite top corner - that is, twist it once in the middle and glue the ends together.
		You'll find that no matter how you twist or bend a Mobius strip (short of tearing it in two and glueing it back together again) you'll never be able to get rid of that twist and turn it into just a normal loop.
	www.bbc.co.uk /dna/h2g2/alabaster/A337592 (792 words)

	Möbius Strip (Site not responding. Last check: 2007-11-01)
		You take a strip of paper and join the ends in a loop after giving one end a half-twist so it joins up with the other one upside-down.
		Crocheting is easy and quick, so this is an easy way to throw a quick Möbius strip together, in case you need one for a last-minute topologist party or something.
		Remember, it's a one-sided strip so long as it has an odd number of half-twists, and all odd-half-twisted strips are topologically equivalent.
	web.meson.org /topology/mobius.html (1093 words)

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