If you’ve been following Mathaesthetics posts you’ve seen a variety of images shared – different types of generated art from fractals to repeated 2D plots to vector fields and scalar fields and more. All images on this blog are created by our flagship software product, which has been in development since November 2019. Today for … Read moreHello World, from MathPaint! (Preview)
The noise renderer has gotten more sophisticated in the past week, and it’s being put to work in this week’s set of fractals. Each image includes a generated noise-texture, with various approaches to transparency in the fractal permitting the texture to show through. The Julia set image above has a semi-transparent purple in the color … Read moreFractal Friday 2020.01.03
It’s the last Fractal Friday of the year, time for some recursive magic! This week we’re exploring the Mandelbrot set, using two features of the Mathaesthetics prototype software: deep color mapping, and a new helpful zoom feature. Here’s where we start: In this image, there’s a color mapping with 10 different colors at various levels … Read moreFractal Friday 2019.12.27
It’s Friday already! This week I’ve been jamming on this application UI development, including a brand-new feature to support fractals: the color mapping control: For fractal rendering the integers below each color correspond to the output value (escape iterations) to which the color is assigned. The linear-gradient mapping mode means that colors between these values … Read moreFractal Friday 2019.12.13
The standard Cocoa control NSSlider comes in a circular variety that resembles a rotating knob with an indicator point. Among the ideal applications for such a control is representing a circular angle. In the application I’m developing I wanted to use this to control the angle of the brush image used for drawing. I began … Read moreDev notebook: Converting scale & position of circular NSSlider for degrees
I’m excited to share today’s image generated from the application under development: It’s a pretty organic background-pattern sort of texture, but it highlights a few cool things about the app, which is focused on creating beautiful images with mathematical techniques. First, the brush strokes! All of these strokes are ‘points’ drawn with an extra-wide calligraphy … Read morePainting with Trigonometry
It’s day one of noise generation in our flagship product! There are many ways to generate visual noise; our first algorithm is a simple static pixel generator. For these examples I’m generating a random integer from 0 to 255 and using that value to calculate a color on the gradient between two colors (here, blue … Read moreFlavors of static: random distributions and noise
I’m spending a lot of time in Cocoa drawing and Core Graphics lately, working in Swift. The API around the Core Graphics CGPattern object in Swift is a little challenging – it requires C callbacks and unsafe pointers for basic pattern-creation and drawing functionality. It also doesn’t work exactly as I’d like it to; I … Read moreDev notebook: brush-like drawing in Swift, without CGPattern