Stokes' Theorem, distilled:
The line integral of F around any closed curve C equals the surface integral of curl F over any surface S it bounds.
Every circulation on the boundary is accounted by the net "swirl" inside.
∮_C F · dr = ∬_S (∇ × F) · dS
A painting depicting a battle with a dragon, hidden behind other paintings for over 380 years, was discovered just four years ago during church restoration.
The hidden architecture of a bird’s voice. 🙌🏻
Did you know a bird's song can be mapped into a mathematical fingerprint? 🧬
This isn't sci-fi; it's the real-time mapping this is a multi-dimensional bioacoustic visualization of a Carolina Wren's song.
By tracking the frequencies, can build a unique radar chart signature for the species. It tracks spectral flatness , entropy, and slope in 3D space to reveal the hidden geometry behind the music.
Nature is literally math in motion.
the video tracks specific spectral features that define the bird's unique Vocal Signature. 🥺
A beautiful reminder of the complexity hiding in everyday sounds.
Visualization of Hooke’s Law (F = -kx) onto human movement by treating joints as anchors in a spring-mass lattice, every extension generates real-time tension, radiating force field vectors that turn the stage into a living physics engine.
a civilization got invaded, occupied, and nearly erased.
so someone carved 3,000 years of their kings, queens, and warriors into 16 concrete pillars on a hilltop. floor to ceiling. bronze. overlooking the sea.
so nobody could delete them.
it's called the Chronicles of Georgia.
Our small team has worked hard on refining the novel observer-based fundamental theory of Physics, OPH, over the past 3 months. Still way to go, but we already derive most of existing Physics and parts of the particle spectrum.
https://t.co/eTdYtRMTCK
Discovered by Paul Schatz in 1929, the oloid rolls so that every point on its surface touches the ground, making it effective for mixing liquids and supporting water purification.
A Japanese sword martial art that developed to deal with surprise attacks in places where movement is restricted, such as while sitting, in a narrow corridor, or in the corner of a room.