Flexagons and the Math Behind Twisted Paper

Below I’ve collected my notes taken during the FutureLearn 3-week online course “Flexagons and the Math Behind Twisted Paper” presented by Dr. Yossi Elran of Davidson Institute of Science Education, Weizmann Institute of Science. This was a fascinating introduction to Flexagons and symbols to describe them, Möbius band, Catalan numbers and more. These are pretty rough notes at the moment, probably not very meaningful to those who haven’t taken this course.
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About

Hello and welcome! I’m a web developer located in Baltimore, MD. In my spare time I’m on a quest to learn as much as I can about computer graphics & animation, virtual reality, fluid dynamics, dynamical systems, data and natural science. If it really takes 10,000 hours to achieve mastery in one of these topics, I’ll probably never achieve it, but hey - in the end it’s the journey that matters.
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Night at the Museum

Introduction Night at the Museum is my final project in the second term of Udacity’s VR Developer Nanodegree program. This term focused on VR design and development process, VR platforms and the industries impacted by VR. This term introduced me to an incredibly wide range of applications I wasn’t aware of previously. My last thought-experiments (part1, part 2, and part 3) also helped me realize that there’s so much more than just ‘VR’ and that the future may really lie within the full spectrum of realities ranging from augmented reality, augmented virtuality, mixed reality to fully virtual reality.
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My Favorite VR Experience(s)

I may be easy to impress, but I honestly haven’t found a VR experience I didn’t find amazing. It seems impossible to review just one favorite experience. I picked three of the most memorable experiences in games, art, and education: My Favorite in Games Eleven: Table Tennis VR is the ultimate Table Tennis simulator. One of my first VR experiences, and still my favorite game experience. I always loved to play in real life but I haven’t had the space and opportunities in my adult life anymore.
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The Puzzler VR Project

Introduction Welcome to my Puzzler project writeup! This project is part of Udacity’s VR Developer Nanodegree program. The second term of this program focuses on VR design and the development cycle from the initial statement of purpose, definition of a user persona, to the iterative process of creating a usable mobile app. This process involved multiple user tests to ensure that the experience is comfortable and clear to the player.
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Faces of Open Source

Faces of Open Source is an on-going photographic documentation of the people behind the development and advancement of free and open source software.

I love this project. It reminds me of a collection I started to compile a few years ago. It’s great to see the people behind the software.

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Making a Heart with Maths

Inigo Quilez, iq, explains how to model a simple heart with mathematics. Shadertoy code and real-time version can be found here. I love how he embedded the model into the video. Need to explore how to develop plugins for AfterEffects. Jim Fowler, Professor at Ohio State University applied a similar technique in his Calculus course at Coursera. He used the old raytracing tool POV-Ray with ArUco, a library for Augmented Reality applications.
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Astronomy: Exploring Time and Space - Week 4

The Tools of Astronomy Telescopes Gallileoscope 1 inch diameter over 400 years ago, modern telescopes now have diameters of 8 or 10 meters. Telescopes can also be used in invisible light wavelengths, e.g. ultraviolet, infrared, radio. James Webb Space Telescope will bring space astronomy to the level of large ground telescopes, 6.5 meter mirror. Ground based telescopes cost about a billion dollars. Hubble Space Telescope cost about $6-8 billion.
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