# Chaos Game and the Serpinski Triangle

Monday morning Simon showed me the Chaos Game: he created three random dots on a sheet of paper (the corners of a triangle) and was throwing dice to determine where all additional dots would appear, always half-way between the previous dot and one of the corners of the triangle.

Very soon, he found it too much work to continue and I though he gave up. Later the same day, however, he suddenly produced the same game in Codea, the points filling in much faster than when he did it manually, yet following exactly the same algorithm. To my surprise, what resulted from this seemingly random scattering of dots was a beautiful Serpinski triangle.

# Recursion example in Code

Simon built this #recursion example/ pattern (a Sierpinski triangle) in Codea (using the language Lua) while we a had a coffee at a cafe:

# Happy Birthday to Dad in Chinese

Simon created this animation in Codea during his Chinese lesson, to congratulate Dad on his 40th birthday.

And this was a task he came with after the vacation:

# Ways to create 4D noise

Simon comparing possibilities to create 4D noise in different computer languages:

# Snake Game in Codea

We were caught up in the rain and had to wait at a restaurant. What do you do in a situation like this? Simon made a snake game on his iPad, inspired by something he saw on the D3 library:

# Vector Math in Codea with Box2D. Simon’s own code.

Simon built a program in Codea visualizing the absolute value of a vector:

# Simon’s Codea Tutorials and the Arc-Tangent

A set of awesome Codea tutorials that Simon recorded for those who are just starting to program in Codea. Simon ported examples from Processing (java) into Codea (Lua):

In the second tutorial (in two parts), Simon explains how to write a physics simulation program in Codea using forces like gravity, friction and spring force. Anyone watching will get to use some trigonometry and see what arc-tangent is for! The original code in Java comes from Keith Peters (Processing).

Here are some notes from when Simon was explaining the arc-tangent to me the other day:

# Pong translated from Codea into Processing

Simon translating the game of Pong from Codea (Lua) into Processing (Java).

# Back to Python (and C#)!

Simon was preoccupied with vector functions for most of the day on Saturday, compiling what, at first site, looked like a monstrously excessive code in Processing (he recycled some of it from the Processing forum, wrote some it himself and translated the rest from Codea). Originally, he was gong to use the code to expand the 3D vector animation he made into a roller-coaster project he saw on Codea and wanted to create in Processing, but got stuck with the colors. What happened next was fascinating. In the evening I all of a sudden saw Simon write in a new online editor Repl.it – he was translating the vector code into… Python! He hadn’t used Python for quite a while. I don’t know what triggered it, maybe Daniel Shiffman noting last night during the live stream session that “normal people use Python for machine learning”. Simon also said he had sone some reading about Python at Python for Beginners and Tree House!

He isn’t done with his project in Python yet, but here is the link to it online: https://repl.it/JAeQ/13

Here Simon explains what he is writing in Python:

Simon did the 2D, 3D and 4D classes but eventually got stuck with the matrix class in Python. He then opened his old Xamarin IDE and wrote the 2D, the 3D and the 4D classes in C#. In the video below he briefly shows his C# sketch and talks about Cross Product in general:

And this is a video he recorded about vector functions (in Processing, Java) the day before:

# Simon solved the bug in his Bit Invader game!

Simon actually managed to solve the bug in his Bit invader code! This is a game he was translating from Codea into JavaScript, we have already published a blog post about it here.

The project is available on Simon’s page in Codepen: