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About Deviant Senior Member Tatyana ZabanovaFemale/Brazil Groups :iconfractaldreams: FractalDreams
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Tatyana Zabanova
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Chaotica Tutorials:
Chaotica Animation - Blinking Stars
How to find out what a transform does
Chaotica Animation Basics: Part 1 | Part 2 | Part 3
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Do you think step by steps would be interesting for fractal artists? (something like THIS but with fractal art). Comment please =D 

78 deviants said Yes
2 deviants said No

Pythagoras tree in Stucture Synth

Sat Mar 28, 2015, 9:00 PM by tatasz:icontatasz:

Fractal Art Week

In this tutorial, I will explain how to make simple Pythagoras trees in Structure Synth.

Getting started

You can learn what a Pythagoras Tree is here:…. A good example of this type of fractals is the work below:

What is a Fractal? by TaraRoys

Also check the basic Structure Synth commands here:…
I will explain the formulae and rules that will be used, but still it is useful to take a look at the basics.

Building a basic tree

The first step is to create the "trunc" rectangle:

    rule base{{s 0.1 1 0.1} box}
    {s 100 100 0.1 z -0.5 color grey } box

In the code above, the first line defines a rule called "base", which creates the red block which will be our trunk. The {s 0.1 1 0.1} defines the size of this block.

The second line draws a huge grey block that will be our background. I set quite a large size to it (100x100 and 0.1 unit thick). The z -0.5 command sets a shift of 0.1 on the z axis, so it is under our red block. The last command, color grey, sets the object color to grey.

Finally, third line executes the "base" rule, drawing the red block.

Untitled Drawing by tatasz

Now, the branches:

Untitled Drawing by tatasz

The left branch is a scaled down copy of the main "trunc", shifted and rotated. So you need a rule that takes the main red block, rotates it CCW, shifts it a bit left (x axis) and up (y axis) and scales it down a bit.

    rule base{{s 0.1 1 0.1} box}
    rule pythagoras {
    {x -0.25 y 0.9 rz 30 s 0.9}pythagoras

    {s 100 100 0.1 z -0.5 color grey } box

This is what the rule "pythagoras" does. Unlike the first rule, "base", this rule is recursive: on each step, it draws the base rule, and then a shifted (0.25 to left and 0.9 up), rotated (30 degrees CCW) and scaled down (0.9 of the original size) "pythagoras" rule:

X3 by tatasz

Thats one nice swirl, but a pythagoras tree branches in two on each iteration. The second branch is just a mirrored version of the first:

    rule base{{s 0.1 1 0.1} box}
    rule pythagoras {
    {x -0.25 y 0.9 rz 30 s 0.9}pythagoras
    {x 0.25 y 0.9 rz -30 s 0.9}pythagoras
    {s 100 100 0.1 z -1 color grey } box

The result looks like this:

X4 by tatasz

Now, time to experiment.
Try changing the rotation angle (make sure you change the shift too):

I2 by tatasz

Or set different rules for each branch:

I3 by tatasz

Or even add some crazy randomness:

If by tatasz


Add a Comment:
zenquad Featured By Owner 1 day ago  Hobbyist Digital Artist
Thanks for the watch :)
Dawgit Featured By Owner 5 days ago
Thank you Tatyana  fave:D (Big Grin) 
DugStanat Featured By Owner 6 days ago  Professional General Artist
thanks for the watch way back when! :)
Labyrinther Featured By Owner 6 days ago  Hobbyist
Roses are Red, Vilolets are Blue, Fractals are awsome, and so are you!
Added to my devWatch!  You got a new watcher!
P-COMIC Featured By Owner Mar 21, 2015  Hobbyist Digital Artist

Nice Gallery~!

IAMINDIPENDENT Featured By Owner Mar 20, 2015  New member
Hi Tatyana, I'm Alice from Italy and I'm a fashion stylist. I like so much your works, they are so near to my kind of aesthetic. Do you think we could collaborate in some way? I can show you some of my works and try to work at! Let me know, thanks for the attention! :)
eking Featured By Owner Mar 20, 2015
Wonderful gallery
Dawgit Featured By Owner Mar 19, 2015
Many thanks Tatyana for the +fav 
Nayelios Featured By Owner Mar 18, 2015  New member Hobbyist Digital Artist
LukasFractalisator Featured By Owner Edited Feb 24, 2015  Hobbyist Digital Artist
Thank you very much for :+devwatch:
I appreciate! :)
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