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Posts about mathjax

Tesseracts

I am interested in using 3D printing to model and visualize mathematics. To explore this, I will analyze and study a tesseract. A tesseract, or hypercube, is a 4 dimensional cube. It is analogous to a cube in our 3D world. Tesseracts are challenging for 3D beings to visualize and understand. They are theoretical structures that can be understood mathematically. Tesseracts can interact with a 3D world in a way that is similar to a cube interacting with a 2D world. A 2D being cannot understand, visualize, or fully experience a cube, but as a cube rotates around, they can gain a better understanding of what the structure is like. Similarly, a rotating tesseract can help us understand what they are like.

Using math and 3D printing, I can create multiple versions of a rotating tesseract. These 3D printed tesseracts can be assembled in a stop motion animation to show what the tesseract looks like as it rotates around 4D space.

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This project was inspired in part by the book Visualizing Mathematics with 3D Printing.

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Experiments With Sound

Upcycling a Speaker

A year ago someone gave me a birthday card that played a song when the card was opened. As I was interested in learning more about circuits, I took apart the card and saved the electrical components for a time when I could dissect them and learn more about how they work. Last week we learned about sound in our physical computing class, so it seemed like a good time to put the inexpensive speaker to good use.

To upcycle the speaker I rewired it to give it red and black wires for the speaker's positive and negative terminals and a header pin to go into a breadboard. I also built a 3D printed case as an assignment for my 3D printing class.

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