2016-03-19, post № 109
programming, Pygame, Python, #16777216, #256**3, #all rgb, #blue, #colors, #every rgb color, #green, #red
Listing the red part on the 𝑥-axis, the green part on the 𝑦-axis and the blue part on the 𝑧-axis, this program displays all the 𝟣𝟨𝟩𝟩𝟩𝟤𝟣𝟨 [1] colors rgb can display.
The 𝑧-axis is shown over time, visually going through a cube of colors.
2016-03-12, post № 108
art, #animated, #animated gif, #beach, #board, #flip, #gif, #ocean, #surf, #surf board, #wave
The little pixel guy tries himself at surfing.
2016-03-05, post № 107
mathematics, programming, Python, #approx., #approximating, #approximation, #John Conway, #lambda, #number sequence, #sequence
An interesting nonmathematical sequence which yet has interesting mathematical properties is the Look-and-say sequence.
As every good sequence it starts with a 𝟣. From there you get each next entry by looking at the previous and saying it. The next entry will thus be “one 𝟣” or 𝟣𝟣. From there “two 𝟣” or 𝟤𝟣, then “one 𝟤; one 𝟣” or 𝟣𝟤𝟣𝟣, “one 𝟣; one 𝟤; two 𝟣” or 𝟣𝟣𝟣𝟤𝟤𝟣 and so on.
The mathematical property, although, does not lie in the entry’s value, but rather in its length.
The interesting thing about the length is, that it approximately grows by 𝜆 each time. 
This constant 𝜆 can be calculated by getting the real root of a degree 𝟩𝟣 polynomial (see Nathaniel Johnston’s post for further information) or be approximated by dividing entries. 
2016-02-27, post № 106
mathematics, programming, Pygame, Python, #animated gif, #automation, #black, #black and white, #carpet, #cell, #cell simulation, #cellular, #cellular automation, #cellular simulation, #fractal, #generating, #generation, #gif, #iterations, #weave, #white, #woven
The Haferman Carpet is a fractal, which kind of looks like a woven carpet. To generate it, you start with a single black pixel and apply in each cycle a set of rules.
In each generation every pixel in the carpet will be replaced by nine pixels according to the rules. A black pixel is represented by a 𝟢, a white one by a 𝟣.
2016-02-20, post № 105
programming, Pygame, Python, #angle, #around, #filter, #image, #image filter, #image manipulation, #manipulation, #spinning, #spun, #spun around, #stir, #vector
Using a vector and an angle, rotating each pixel’s position by an angle determined by its distance to the image’s center and a constant, this filter gives the image a unique spin.
For demonstration I used — once again — an image from my post Stacking Stones.
2016-02-13, post № 104
games, mathematics, programming, Pygame, Python, #cells, #cell, #cell simulation, #cellular, #cellular automation, #cellular game, #cellular simulation, #John Conway, #simulation
This program is a simulation of the famous cellular automaton created by John Conway. The so-called ‘game’ is rather a simulated evolution of cells in a two-dimensional world. Each cell can either be dead (black) or alive (white) and always has eight neighbours surrounding them. In each cycle of the simulation their state will be changed based on two simple rules, which are listed below.
Despite the rule’s simplicity, the outcomes are often very interesting and complex.
For more details on the game of life, check this Wikipedia entry.
2016-02-06, post № 103
programming, Pygame, Python, #contrast, #detection.sobel, #digital image filter, #edge, #edge detection, #filter, #image, #image filter, #img, #img filter, #J-Filter
This filter runs an edge detection algorithm on a given image.
For demonstration I used — as in my previous filter posts — an image from my post Stacking Stones.
The image with applied edge detection filter:
2016-01-30, post № 102
programming, Pygame, Python, #color, #mouse, #mouse controlled, #polygons, #rect, #rectangle, #rects
This program lets you spawn in a rectangle with a randomly assigned color. This rectangle will then slowly move towards the screen’s edge, eventually fading away.
