461 votes

How do I draw a pair of buttocks?

I have to confess that I see this as a proper challenge, as I am usually quite creative in finding/combining functions to provide a desired behavior. So I will give it another try. which is generated ...
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  • 4,447
223 votes

How do I draw a pair of buttocks?

This might get me suspended from the site butt I cannot resist. The shape you are looking for can probably be approximated (depending how anal you want to be about the outcome) by two assymetric ...
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  • 9,346
119 votes

How do I draw a pair of buttocks?

Parametric Buttocks Manipulator ...
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  • 83.6k
104 votes
Accepted

DumpsterDoofus's captivating generative art

Amusingly enough, the images above actually arose as an accidental by-product of browsing inane YouTube conspiracy theory videos. I happened across a rather beautiful video of a "mirror cube" device ...
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101 votes

Code that generates a mandala

Here is one way to come up with "mandalas" -- we generate a segment and then by appropriate number of rotations we produce a "mandala". Here is an example function of a random seed segment ...
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99 votes
Accepted

Is it possible to draw this figure using Mathematica?

Here's a quick take on it: ...
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  • 30.6k
73 votes
Accepted

How to make the digits of π go around in a spiral like this?

My original code was crashing when you used too many digits because apparently Mathematica can handle only so many different font sizes. To fix it, I had to borrow george2079's PDF trick to turn each ...
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  • 8,584
68 votes

How to make this beautiful animation

Edit: Added the reversal and some refinements ...
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  • 7,704
68 votes
Accepted

How to make this beautiful animation

I'd like to expand on Quantum_Oli's answer to give an intuitive explanation for what's happening, because there's a neat geometric interpretation. At one point in the animation it looks like there is ...
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  • 68.9k
67 votes
Accepted

How to ask Mathematica to imitate Andy Warhol's pop-art painting?

Let's do it Andy's way So you are Andy. Nice to meet you. And you never got those hands on a computer. It doesn't matter, I will show you! First you need to go to Marilyn's place. Don't worry, JF ...
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67 votes

Writing a word with straight lines

Here is a start. I'm sure others will come up with better solutions, but I think from here it's mostly down to finding a better algorithm to pick the random lines. First, we get ourselves a ...
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  • 8,584
66 votes

Code that generates a mandala

For this one I've defined three types of layer, a flower, a simple circle and a ring of small circles. You could add more for greater variety. ...
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58 votes
Accepted

Generating Doyle spiral painting

TL;DR Yes, this can be done! If you read the article "Hexagonal circle packings and Doyle spirals" by Leys, you will see that for a choice p and ...
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  • 111k
56 votes

How do I draw a pair of buttocks?

Scientific progress! In v10.3 with all the goodies in AnatomyData we can now use the simple code: ...
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54 votes

Composition à la Mondrian

An extended comment follows. Mondrian, in the late work referenced by the OP and characterized by primary colored rectangles separated by black lines, employed an extraordinarily sophisticated ...
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  • 13.8k
45 votes
Accepted

Generating animations of clouds with Mathematica

This is a 2D Gaussian random field with a $1/k^2$ spectrum and linear dispersion $\omega \propto k$. I clip the field to positive values and square root it to give an edge to the "clouds". ...
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  • 83.6k
45 votes

Is it possible to draw this figure using Mathematica?

...
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45 votes

Writing a word with straight lines

Weighted sampling of line segments based on overlap/non-overlap ratio: ...
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  • 15k
44 votes
Accepted

Composition à la Mondrian

This is a similar idea to ybeltukov's, iteratively splitting rectangles into two smaller rectangles. I've used an integer grid to avoid getting small offsets between adjacent blocks, and a weighted ...
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  • 83.6k
44 votes

Drawing Clifford Attractors in Mathematica

Parameters: a = -1.24458; b = -1.25191; c = -1.815908; d = -1.90866; Compiled function used for iteration: ...
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  • 227k
43 votes

How to make the digits of π go around in a spiral like this?

Avoid the too many font sizes issue by convert characters to graphics primitives: ...
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  • 38.4k
39 votes
Accepted

Smooth Peter de Jong attractor

UPDATE I thought it would be neat to try and animate the thing, so I let the $a$ parameter run between $-\pi$ and $\pi$. I generated 600 images and put them together using ffmpeg. Check it out on ...
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  • 1,501
39 votes

Composition à la Mondrian

Here is my attempt to be Piet Mondrian ...
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  • 42.9k
39 votes
Accepted

Writing a word with straight lines

Here is another way of making this kind of graphics using version 6 commands. I am not sure how valuable is this different way of making them compared to the other answers of Martin Buettner and kirma,...
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38 votes
Accepted

Make a beautiful Moiré effect

I feel that once you start with Moire patterns, there's no ending. The way I would replicate these is by making a grid into a function (like @JasonB) but also parametrise the angle of rotation into it:...
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  • 9,346
37 votes

Smooth Peter de Jong attractor

As @RahulNarain says, forming the image point by point saves significant memory because the number of image pixels is typically much smaller than the hundreds of millions of iterations that compose it....
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  • 14.9k
36 votes

How do I draw a pair of buttocks?

Well, an unusual question to answer, what about something like this ...
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  • 4,447
36 votes
Accepted

How to create this spikey in Mathematica?

This is probably too slow to get a decent image, but here's a simple attempt. As JM suggests, you can use Geodesate to get a good set of points on the sphere. I ...
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  • 83.6k
35 votes

Is it possible to draw this figure using Mathematica?

Here is a slightly different way of going about it: ...
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35 votes

Writing a word with straight lines

Another way that produces a more uniform distribution of lines is to take the DistanceTransform of the text. I start with the text itself: ...
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  • 9,346

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