How To Draw Dragon Curve

Do this as many times as you can. Dragon Curve is one of many self-similar fractal curves.

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You now have a 3rd order dragon fractal.

How to draw dragon curve. Of course you can repeat the folding process again to get higher. Fold it in half to the right again. 25042012 While the Dragon Curve never crosses itself there are a number of intersections like the one in this step.

For the purposes of this task a dragon curve is a curve generated by the following rule. You can change the color of the curve and its background and set the width and height of the space that curve fills. Word rewriteword proc_rules tt1 newWord word def rewriteword proc_rules.

Now unfold the paper. Basically take a nice long piece of paper fold it half then fold it in half again then fold it in half again. Take the end-point of the current curve create a second curve rotated 90 degrees around that end-point so that the end.

WordListi proc_rulescurChar return joinwordList def drawitnewWord d angle. Tomorrows class is here. The midpoints of your right angle should be the tips of the zigzag thus your zigzag is at a perfect 45 degree angle.

You can very well draw the dragon on the paper starting with a straight line segment and making proper right or left 90 degree turns. The curve never crosses itself and does not meet at. The dragon curves of orders 1 to 9 are illustrated above with corners.

The second recursion step turns 4699 degrees to the right and move 055 times the original distance. Word axiom t 1 while t. 18052021 This procedure is equivalent to drawing a right angle and subsequently replacing each right angle with another smaller right angle Gardner 1978.

Were generating it using L-system rules but another way to generate it by using a paperfolding sequence. If depth is 0 then the curve is a straight line. Learn Shading Free Here.

There is a neat method that can be used for the determination of the turns in the sequence. A simple fractal that can be made with a piece of paper. The dragon curve is also known as Harter-Banks-Heighway curve or Jurassic Park curve.

26092011 import turtle def createWordmax_it axiom proc_rules. At each recursion the first recursion step turns 3289 degrees to the left and move 074 times the original distance. By five iterations were starting to get an idea of the whole shape.

01062021 The recursive dragon-part function draws a curve connecting 00 to 10. You can totally draw fractals freehand yo. For those of you who decided not to watch the video the first 12 iterations of the dragon curve are shown below.

02022014 Create a zigzag with the endpoints of each spike on the endscorner of your right angle. CurChar wordListi if curChar in proc_rules. 04072017 These dragon curves can also be formed by Paper folding.

Fold it in half to the right. -FX-Y and angle. Take a long strip of paper and.

The concept is so simple but the potential is amazing. Bend-direction is either 1 or -1 to specify whether the deviation from a straight line should be to the right or left. Arrange the paper so that each fold creates a 90 degree angle.

It is also an example of a space-filling curve. Unfold it so that all the folds are 90-degree angles. You now have created the first few iterations of the dragon curve.

23042017 How to make the Dragon Curve by folding the paper strips. Zig on the outside of. In fact the dragon curve can be written as a Lindenmayer system with initial string FX string rewriting rules X.

21112016 Skip this paragraph if you watched the video. 19092020 Golden Dragon Curve Fractal Source Code Draw a dragon curve based on the golden ratio. WordList listword for i in rangelenwordList.

Repeat Step Three for the ENTIRE new line weve constructed. It will have some outward folds and some inward folds.

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