Visualization of an antitwister mechanism - a way of connecting a flexible link between two objects, one of which is rotating with respect to the other, in a way that prevents the link from becoming twisted.
Rotating 3D projections of regular 4D polytopes (four dimensional analogues of 3D polyhedra).
Scaling and dropping a twist deformation through a stack of transparent planes.
Using geometric algebra ideas (specifically the even subalgebra of Cl3,1) to potentially help visualize the entanglement of qubits for quantum circuits. The pulling along an axis represents a Lorentz boost, while spinning around the axis are rotations.
Visualizing quantum computing with hyperbolic geometry.
Red Squares Piggy (Brush markers on paper) Celebrating the intelligence of pigs in a 3D-grid technique inspired by Paul Klee’s studies of colour and form.
Piggies and the dimension Warp (Digital art) Escheresque reimagining of porcine dimension theory.
Gravity in the Balance (Mixed) Hidden geometries expressed in artistic shorthand.
Hyperbolica is a whimsical Non-Euclidean adventure with mind-bending worlds full of games, puzzles, mazes, and secrets! Immerse yourself in reality-warping geometries where lines can never be parallel, horizons are curved, and space grows exponentially.   HYPERBOLICA ON STEAM  
In the past 2 years, AIs have been developed that can take a string of text and generate a corresponding image. New models and techniques are being released constantly. An open source community has formed, initiated by the work of Ryan Murdock (@advadnoun) and Katherine Crowson (@RiversHaveWings) (reference here). Just as 2 Cartesian coordinates can uniquely describe a point on a plane, or 3 coordinates can describe a point in real space, we can use many-dimensional coordinates to uniquely describe a whole image, or the semantic content of a text string. By training an AI model on millions of pairs of images and captions, we can discover a space and a mapping where similar images cluster close together, and the text string "Baroque Autumn" maps to the same region as a picture of a "Baroque Autumn". In this latent space, proximity scores between text and image can be calculated, and used to guide the generation of an image to match a new text prompt given by the human.
Baroque Autumn pic.twitter.com/7qXExDLeMw
— Chigozie Nri (@chigozienri) August 7, 2021
Topographic Map | Contour Lines pic.twitter.com/dmfitDwZXT
— Chigozie Nri (@chigozienri) July 21, 2021
By taking an image generated from this technique, warping it, and using it as an input for the next frame, we can generate animations.
If the prompts used are changed on each frame, the image can evolve.
The Nine Spheres of Heaven@images_ai pic.twitter.com/5jBZBjzoxr
— Chigozie Nri (@chigozienri) July 29, 2021
The seasons, in Sumi-e
— Chigozie Nri (@chigozienri) July 30, 2021
For each season, I also prompted a kigo for that season, maybe you can guess which ones I used.
Not quite a perfect loop yet, but I'm getting closer.@images_ai pic.twitter.com/YQ9U0jbEXW
And if we scroll the original image in to the right side of the frame as it leaves, we can approximate a loop.
In this piece (released to coincide with this conference), parallax is achieved by scrolling independent generated layers at different speeds, a technique commonly used in 2D side-scrolling video games. The endless looping is achieved by inpainting the seams so that they match up, locating a point in the space of possible images that tiles seamlessly. The result is an animation where the last frame perfectly approaches the first frame.
— Chigozie Nri (@chigozienri) May 20, 2022
Hyperspectives is a a collection of experiments with non-euclidean perspectives, related to moebius transformations and interesting mappings of 3d geometry. The goal is to offer unique perspectives on various aspects of what it means to be a creature living in space and to learn about math in the process. The hyperhorse, in particular, is inverse stereographically projected onto the hypersphere, rotated, and projected back again. Click on the image to access the original interactive art, where you can move the camera, change rotation speed and pause the horse displacement.