1ucasb's lab is a Tumblr blog I started to share works in progress, experiments and to have a space to write about math and physics curiosities. The blog currently has over 13 thousand followers.
A few of my animations have gained a lot of traction and were even featured on Tumblr Radar, which showcases the top most active posts on the website. This popularity has even led me to be interviewed for The Daily Dot at one point.
An old idea of mine was the notion of "polygonal trigonometric functions". Here, we see the "sine" function for the square and hexagon, compared to the regular sine for the circle. This image has been liked and shared over half a million times. I have come up with neat closed-form solutions to these functions and even made a Flash applet to generate sound using these functions. This was generated using my custom drawing library.
Gauss' Theorema Egregium forbids a sphere from being flattened without distortion. However, this unusual decomposition of the sphere into conic strips allows for it to be flattened and reassembled with some smooth curvature, without violating the theorem.
The locus of highest points of all ballistic trajectories forms an ellipse, which I called "ballistic ellipse". This is a surprising result I discovered back in highschool, and apparently was only recently described by others. This was generated using my custom drawing library.
An attempt at a conceptual visualization of general relativity in 3D using a distorted spatial grid. I added a moving sphere just to play around with the code and it wasn't intended to be a real representation of an orbiting body. However, the result is very soothing to look at. This was generated using my custom drawing library.
While there hasn't been new posts in a while, due to time constraints, the blog is not abandoned.