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An attempt at using recursion

All of my projects to date have required step by step instructions (some upwards of 300 lines of code!), so I decided to have a go at working out how to create a recursive code. After studying "Cayley graph 3D" working out in my head how the code was constructed, I was finally able to start my own. The following is based on an image of

Cayley Graph of the Free Product Z3 * Z5

After much trial and error I was able to develop ...

Simple DNA Model

It was Wednesday, 17th of July. I met with a visiting scholar Xie Zuo Ru from China.  Xie is an awarding-winning high school teacher in the area of technology education. His research interests focused on the use of interactive media to promote science, technology, engineering and mathematics (STEM) education.  The interactive media refers to the small computers such as Arduino and Raspberry Pi that are affordable, programmable, and capable of transforming virtually any objects into input and output devices.  A wide range of interactive media applications such as turning a drawing of keyboard into a real keyboard or remote control of household appliances makes the teaching and learning fun and creative. He is also an expert in robotics and programming.

Snub dodecahedron

The Snub dodecahedron has 92 faces (12 pentagons, 80 equilateral triangles), 150 edges,  and 60 vertices.

Cayley graph 3D

I was in the keynote session of AAMT conference. In the keynote, the mathematician Hanna Neumann was mentioned. I immediately googled and started reading about her on Wikipedia.

While reading, my thoughts are like the hyperlinks that go everywhere, then suddenly I saw and clicked into the Group theory, where I found the Cayley graph that caught my attention.

It is easily recognisable that this cayley graph is a fractal image, which can be produced with a simple recursive procedure in VRMath2's LOGO language.

Rhomicuboctahedron

So, at first glance, this seemed like it would be quite difficult....

turns out, it only took 10 minutes, very simple to construct, only angles involved are 45 degrees (would likely be more difficult if trying to show the faces, rather than just the edges.