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I suspect that rendering fractal curves and surfaces and objects is outside the scope of Affinity Designer. Obviously AD is not going to be able to do rendering of objjects desribed by an infinite sequence of operations, but I wonder if in some cases it is (easily) going to be possible to generate a truncated representation. Indeed all the visual representations which we might see in maths books and articles are in any case truncated, but usually generated using special software. By "easily" I of course mean without very tediously copying the instructions for each line and point in the object to be rendered.

For some interesting curves and objects see this article and others linked to it from Scientific American about the Koch Snowflake - https://blogs.scientificamerican.com/roots-of-unity/a-few-of-my-favorite-spaces-the-koch-snowflake/

Some ones to try might include the Hilbert and Peano curves, the Sierpinski triangle, and the Sierpinski sponge which are fairly regular. I'm guessing tha the Mandelbrot set would be completely out of order.

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There are specialty apps that can do that, but fractal generation is way out of the scope of affinity. You might be able to get a pseudo effect using duplication and mirroring but at best it would be tedious. If ever Affinity used Scripting it might be possible but I wouldn't hold your breath.

 

Apps such as Mandelbulb and Mandelbulb3D are excellent Apps, JWildfire also does amazing things. All of these are Multi-platform.

For iOS there is FraxHD.

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3 hours ago, dave2017 said:

Some ones to try might include the Hilbert and Peano curves

 

It’s only as a result of a huge amount of effort on my part that I’m managing to resist posting an outline drawing of a baby grand here! xD

 

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37 minutes ago, Alfred said:

 

It’s only as a result of a huge amount of effort on my part that I’m managing to resist posting an outline drawing of a baby grand here! xD

 

or Comic Curves

iMac 27" 2019 Somona 14.3.1, iMac 27" Affinity Designer, Photo & Publisher V1 & V2, Adobe, Inkscape, Vectorstyler, Blender, C4D, Sketchup + more... XP-Pen Artist-22E, - iPad Pro 12.9  
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Affinity Help - Affinity Desktop Tutorials - Feedback - FAQ - most asked questions

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