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Topic: Dragon curve

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	Tail of the Dragon at Deals Gap and Cherohala Skyway, Graham Co, NC
		Tail of the Dragon at Deals Gap and Cherohala Skyway, Graham Co, NC DESTINATION : TAIL OF THE DRAGON and CHEROHALA SKYWAY
		GPS Coordinates for the Tail of the Dragon at Deals Gap - at the NC / TN state line
		DRAGON MAP with location of deaths since 2000
	www.tailofthedragon.com /maps.html (213 words)

	European dragon - Wikipedia, the free encyclopedia
		The dragon of the modern period is typically depicted as a huge fire-breathing, scaly and horned dinosaur-like creature, with leathery wings, with four legs and a long muscular tail.
		The female dragon represents harsh weather and is the destroyer of crops, the hater of mankind, and is locked in a never ending battle with her brother.
		The red dragon is unmistakably linked with the Welsh and it is believed the white dragon refers to the English, but some have speculated that it originates from Arthurian Legend where Merlin had a vision of the red dragon (representing Uther Pendragon) and the white dragon (representing Vortigen) in battle.
	en.wikipedia.org /wiki/European_dragon (1960 words)

	Dragon curve - Wikipedia, the free encyclopedia
		A dragon curve is the generic name for a member of a family of self similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems.
		The Heighway dragon (also known as the Harter-Heighway dragon or the Jurassic Park dragon) was first investigated by NASA physicists John Heighway, Bruce Banks, and William Harter.
		The Lévy C curve is sometimes known as the Lévy dragon.
	en.wikipedia.org /wiki/Dragon_curve (1244 words)

	Encyclopedia: Dragon curve
		A space curve is a curve for which X is of three dimensions, usually Euclidean space; a skew curve is a space curve which lies in no plane.
		A rectifiable curve is a curve with finite length.
		A dragon curve is a well-known recursively defined curve, similar in vein to the von Koch snowflake.
	www.nationmaster.com /encyclopedia/Dragon-curve (332 words)

	Curve
		This definition of curve captures our intuitive notion of a curve as a connected, smooth figure that is "like" a line; although it also includes figures that are not called curves in common usage.
		For example, a mathematical curve can have any number of "kinks" or corners, since these have no effect on whether or not the resulting figure can be "stretched" and smoothed into a straight line; this is roughly the meaning of "can be continuously mapped".
		Some extreme examples of "kinky" curves are the fractal Koch curve and the dragon curve[?].
	www.ebroadcast.com.au /lookup/encyclopedia/cu/Curve.html (258 words)

	Davis Associates, Inc. on Dragon curves
		The classical Dragon curve, discovered by physicist John E. Heighway, is the curve that results when a sheet of paper is folded in half, then folded in half again, and again, etc. and is then unfolded in such a way that each crease created by the folding process is opened out into a 90-degree angle.
		The term "classical" Dragon curve refers to the curve that results when the original folds (as opposed to the more numerous creases that are created) are all in the same direction.
		Second, and perhaps most remarkable, four copies of the Dragon curve, each starting from the origin in one of the four orthogonal directions (e.g., east, south, west and north), never intersect each other and, in fact, are lattice-space filling (interlocking).
	www.davis-inc.com /dragon (545 words)

	The Boundary of Dragon Curve (Site not responding. Last check: 2007-11-06)
		The dragon curve is a space filling curve with dimension 2 which originally came from the repeated folding of a long stripe of paper [4] in the same direction.
		To alleviate this neglect, it is the purpose of this paper is to study the boundary of dragon curve.
		To produce the entire boundary of the dragon curve, four similar pieces of the border, generated by the above algorithms, have to be arranged as shown in Figure 8.
	www.poignance.com /math/fractals/dragon/bound.html (1583 words)

	Fractals: Heighway Curve
		Although the construction of this curve is quite simple, its fascinating properties have stimulate a lot of works in different fields of mathmatics.
		While three methods were described for the construction of the Dragon curve, the discussion will be limited to the method used originally by Heighway.
		The self-similarity N and r values are derived from the construction of the curve using the triangle method.
	users.skynet.be /TGMDev/curveheighway.htm (406 words)

	[No title]
		The Dragon curve (the paperfolding sequence) was discovered by physicist John Heighway and was described by Martin Gardner in 1978.
		It turns out, that the Dragon curve is related to the sigma-sequence, that was used by Evdokimov in 1968 in order to construct chains of maximal length in the n-dimensional unit cube.
		The Peano curve was studied by the Italian mathematician Giuseppe Peano in 1890 as an example of a continuous space filling curve.
	www-math.mit.edu /~combin/archive/2004_spring/kit.html (263 words)

	Paper-Folding-Fractals (construct)
		This particular pattern is commonly called "The Dragon" and was popularized in the film "Jurassic Park".
		Level 3 of The Dragon is produced by folding the paper in-half 3 times to the left, and opening it up to eight sides and seven right angles (figure 3a).
		The first half of level 4 is an exact copy of level 3 (except each side in level 4 is half the length of each side in level 3).
	www.cs.unm.edu /~joel/PaperFoldingFractal/construct.html (709 words)

	FRACTINT L-systems Spacefilling Curves (Site not responding. Last check: 2007-11-06)
		This curve looks like a church on which a mural is painted reminiscent of the painting of God giving life to Adam.
		All of the spacefilling curves described so far revisit certain points, but there are many spacefilling curves which never revisit any points.
		This is to insure that when FRACTINT is drawing the Cross it is oriented the same way after drawing X or Y as it was when it began drawing X or Y. This is the safe thing to do if you don't understand how the orientation may affect the outcome of your L-system.
	spanky.triumf.ca /www/fractint/lsys/spacefilling.html (848 words)

	Paper Folding (Site not responding. Last check: 2007-11-06)
		If a large sheet of paper is folded in half, then in half again, etc, with all the folds parallel, then opened up flat, there are a series of parallel creases, some pointing up and some down, dividing the paper into fractions of the original length.
		Finally the bottom edge of the paper is viewed end-on to see the dragon curve.
		Output will consist of a series of dragon curves, one for each value of N in the input.
	acm.uva.es /p/v1/177.html (364 words)

	Heighway Dragon
		The construction of the Lévy dragon and the Heighway dragon are very similar.
		For the Lévy dragon, both are placed towards the "outside"; for the Heighway dragon, one is placed pointing out while the other is placed pointing in.
		Then A is a continuous function from the unit interval to the space of compact sets with the Hausdorff topology, with A(0) equal to the Lévy dragon and A(1) equal to the Heighway dragon.
	ecademy.agnesscott.edu /~lriddle/ifs/heighway/heighway.htm (1086 words)

	Project1 (Site not responding. Last check: 2007-11-06)
		This fractal curve is generated recursively by applying L-strings rules.
		Every time the user increases the number of of iterations it causes th dragon to tilt a little until it is completely rotated.
		Here you can clearly see the dependency of number of iterations to the position of the dragon within the window.
	www2.gvsu.edu /~baraiy/project1.html (68 words)

	[No title]
		In this lesson, complex patterns are generated by the motifs of the Koch curve, dragon curve, and modified Pythagoras trees.
		This is the Koch curve proposed by the Swedish mathematician Helge von Koch in 1904.
		Dragon curve Modifications of Pythagoras tree The house motif for Pythagoras tree introduced in Lesson 2 consists of a square building with an isosceles triangle roof.
	mathforum.org /~lisab/lesson3.doc (2067 words)

	Jeux : dragon ball z
		Dragon Ball Z commence cinq ans après le mariage de Son Gokû.
		Dragon Ball Z est une série animée de 291 épisodes basé sur le manga d'Akira Toriyama, Dragon Ball.
		Il se situe entre Dragon Ball et Dragon Ball GT.
	www.jeuxvideo-flash.com /r-id-desc-1-20-dragon-ball-z.php (228 words)

	Tiling the Plane
		Using your graph paper, draw your level five dragon curve to scale.
		Fold your curve back up, coloring each fold as it is folded.
		The rule for drawing this dragon curve is: Draw an isosceles right triangle on each straight line of the previous layer beginning with an “up” triangle and then alternating with a “down” triangle.
	www.geocities.com /webberswest/NWMI/dragoncurves2002.html (1295 words)

	Math Forum: Lee: Lesson 3 - Shagadelic Patterns, part 3 (Site not responding. Last check: 2007-11-06)
		We begin with a long strip of paper placed on the table and fold it at the middle of it in the same direction repeatedly as shown.
		At around the 12th generation folding, a faint impression of Chinese dragons begins to emerge, which then becomes more distinctive at the 13th and 14th generations.
		This had led its discover, J.E. Heighway, to coin the word, Dragon curve, for the meandering paper strip folding.
	mathforum.org /~lisab/third_lesson/part_3.htm (188 words)

	Paperfolding and the Dragon curve
		Mandelbrot [Man83] calls this the Harter-Heighway dragon; an extensive discussion of its properties can be found in [Gar67, DK70].
		There is a natural dynamical process of ``folding'' at work in the creation of the dragon curves.
		Following the curve from beginning to end, each turn is either to the left or to the right.
	www.math.okstate.edu /mathdept/dynamics/lecnotes/node17.html (579 words)

	L-systems in PostScript
		Three years later, as my was doing some Spring cleaning on my account, getting rid of old files, I stumbled across this Dragon Curve program and decided to have another look at it.
		On my way to understand the mysteries of this Dragon Curve program that I had, I've encountered a number of L-system equations.
		This code looks a little more complicated than the Dragon Curve before, but it's mostly because of colors and because it's made generic to work with many different equations and coloring schemes.
	www.cs.unh.edu /~charpov/Programming/L-systems (951 words)

	Lévy Dragon Tiles the Plane
		Moreover, it has the very curious property that, if [the dragon curve] were materialized, one could tile the plane with it, i.e., one can cover the plane with identical copies of this curve such that no two copies intersect, and such that no space is left uncovered.
		This was the triangle used in the description of of the construction of the Levy dragon.
		Applying the first step of the Lévy dragon construction to each of these triangles produces four congruent copies of L1 that still cover the unit square (see Figure 1).
	ecademy.agnesscott.edu /~lriddle/ifs/levy/tiling.htm (540 words)

	Dragon Curve (Site not responding. Last check: 2007-11-06)
		Beware, drawing a Dragon Curve of degree 10 or above can be real slow (the canvas has to render 4 * 2^^degree lines segments).
		The only thing was when I ran the Dragon Curve with a Degree setting of 12 my computer was nonresponsive for 10 minutes.
		So the only way to make the code more responsive would be to draw the dragon curve in smaller pieces and have some kind of GUI refresh in between segments.
	wiki.tcl.tk /3349.html (374 words)

	Compare Prices and Read Reviews on Learning Curve Chinese Dragon at Epinions.com
		The Thomas & Friends Chinese Dragon is modeled on the longer engine style (with there being two real engine styles in the Wooden Railway line, one with four wheels, and one with eight).
		As with all Thomas & Friend vehicles for the Wooden Railway, the Thomas & Friends Chinese Dragon is made entirely of wood with the exception of the plastic wheels, metal wheel axles, ribbon tail, and plastic head.
		Magnets are placed at the front and back of the car to attach it to the other vehicles, and "CHINESE DRAGON" is printed in white on the bottom of the first set of wheels for those of us who sometimes get confused about which train is which.
	www.epinions.com /content_175592017540 (763 words)

	Fractals, Turtle Dragon Curves (Site not responding. Last check: 2007-11-06)
		The dragon curve can be created by folding a strip of paper over and over, then opening each fold to ninety degrees.
		Using turtle graphics higher order dragons can be made by replacing each line with two shorter lines ninety degrees to each other, alternating the direction.
		All of these are just small changes in the shape of the dragon, there are many other interesting things you can do with dragons.
	www.seanet.com /~garyteachout/tdragon.html (144 words)

	Dragon Car Hire Payment - Book Car Hire Malaga Airport
		When you click on the link below you will be taken to our secure server to make your reservation.
		This can be verified by the small padlock symbol located on the bottom right of your browser window, and clicking on this symbol will display a security certificate and the level of encryption we are using (128 bit, currently the strongest form of encryption available).
		Dragon Cars and Golf take every precaution to ensure your data is transmitted securely and safely to our reservation office, allowing you to book with confidence!
	www.dragoncars.com /paym.aspx (385 words)

	Applelinks.com: Can MacSpeech Hit Apple's Dragon Curve?
		MacSpeech Inc's president says that his company will stay the course despite the surprise announcement at WWDC last week that Dragon Systems will be porting their popular PC continuous speech recognition program, NaturallySpeaking, to the Mac Platform, with Apple's blessing and fanfare.
		This news had to have been a bitter slap in the face for the folks at MacSpeech, who have been the only developers working on a Mac dictation program since Dragon unceremoniously dumped Mac support last year when they terminated development and support of their long-in-the-tooth PowerSecretary for the Mac.
		Dragon's NaturallySpeaking is highly respected, premium dictation software, without question.
	www.applelinks.com /articles/1999/05/19990525100951.shtml (1497 words)

	fractal green dragon (Site not responding. Last check: 2007-11-06)
		The Magic Dragon - A pink and green lacey fractal background with a cute little green and pink dragon.Rippling lake...
		Sierpinski gasket, Peano curve, Koch snowflake, Harter-Heighway dragon curve, T-Square...
		The little green dragon, called Mozilla, used to be the mascot of Netscape in the early...
	www.11-fengshui.com /37/fractal-green-dragon.html (511 words)

	Mathematical Curiosities (Site not responding. Last check: 2007-11-06)
		This applet provides a geometric introduction to fractals by illustrating how simple fractals are generated using initiators and generators.
		It features class fractals such as the Koch curve, the Sierpinski gasket, the Dragon curve and more.
		In addition, the applet also includes original fractals such as the Dragon leaf and variations on the Sierpinski carpet.
	www.poignance.com /math (424 words)

	dragon_curve - OneLook Dictionary Search (Site not responding. Last check: 2007-11-06)
		We found 2 dictionaries with English definitions that include the word dragon curve:
		Tip: Click on the first link on a line below to go directly to a page where "dragon curve" is defined.
		Dragon Curve : Eric Weisstein's World of Mathematics [home, info]
	www.onelook.com /?w=dragon_curve&loc=resrd (81 words)

	[No title]
		Re: Dragon Curve - Derek 7/26/2007 18:50 (3)
		Re: Dragon Curve - Jacob 7/26/2007 19:55 (2)
		Re: Dragon Curve - Derek 7/27/2007 17:04 (1)
	f27.parsimony.net /forum67475 (1011 words)

	The Dragon Curve or Jurassic Park Fractal
		The Dragon Curve fractal is a pretty interesting one.
		Even though this is one of the slowest growing fractals, you probably won't be able to go past iterations 13 or 14.
		Of course, the typical unfolding angle for the dragon curve fractal is 90
	www.arcytech.org /java/fractals/jurasic.shtml (606 words)

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