Cosmos Machines⚙️ The Icy Heart Made with @grok

Cosmos Machines⚙️ The Tholin Interface Made with @grok

Fly through the core of a p machine

Cosmos Machines⚙️ Beneath the Ice Made with @grok

Coded with Grok 4 – morphing 3D wireframe geometries with responsive click/tap-to-pulse animations, built with Three.js. Demo/code in reply. 👇

Cosmos Machines⚙️ Cryovolcanic Core Made with @grok tweaked with cutpro

Gravity can bend light so strongly that one source appears as arcs, rings, and duplicated images. This is Binary Gravitational Microlensing. Each pixel on the screen represents an apparent angular position θ = (θₓ, θᵧ). The compact masses bend the incoming light, and thus the source position β is found through the thin-lens map: β = θ - Σⱼ mⱼ(θ - θⱼ)/(|θ - θⱼ|² ε²). The image is then created by sampling a distant luminous source field S(β): I(θ,t) = S(β(θ,t)). The sharp bright structures come from the Jacobian of the lens map: A = ∂β/∂θ, μ = 1/|det A|. Where det A gets close to zero, the magnification spikes. Light folds into crowns, arcs, and glowing caustic ridges around the moving binary lens. In this animation, two compact masses orbit each other while the background source plane is ray-mapped through their gravitational field. The black cores mark the lens positions. Gold and pearl show the strongest magnification. Cyan and ice reveal stretched background light as the source is duplicated and wrapped around the lens. Gravity bends the geometry that light travels through and does not touch the light directly. #GravitationalLensing #GeneralRelativity #Microlensing #Astrophysics #PhysicsVisualization #MathematicalPhysics

Watch Falcon 9 launch 24 @Starlink satellites to orbit from California x.com/i/broadcasts/1qKVmmnzP…

He wasn’t searching for the cosmos. He was searching for the entrance.

i spent way too much time on this

The Hidden Geometry of Fractions Every reduced fraction a/b in [0,1] is born from the Stern-Brocot mediant rule: a/b ⊕ c/d = (a c)/(b d). The animation wraps each fraction around a disk by θ = 2πa/b, while its visible scale follows the Ford-circle law rₐ⧸ᵦ = 1/(2b²). The glowing backdrop is a denominator-resonance field built from phases qθ, weighted by Euler’s totient φ(q), which counts the reduced residue classes modulo q. As new Stern-Brocot fractions appear, they inject heat into that same denominator field. The point is to show rationals as a living arithmetic foam: every fraction has its own place, its own scale, and its own denominator frequency. #NumberTheory #SternBrocot #FareyFractions #FordCircles #Mathematics #MathAnimation

From back in 2024, this is still one of my favourites and among the best particle systems I made.

Bad Janitor🤓🖤📐

An interactive and procedural fantasy kingdom with a towering citadel, a flying dragon, animated ships, stormy ocean, and aurora-filled skies. Built with Three.js and GLSL shaders. 🔊

😎😂@grok