Matheorems

Where absolute truth meets supreme beauty.

[Matheorems @matheorems]

Paschen's law demonstration: Syringe held near Tesla coil. Pulling the plunger lowers internal air pressure, resulting in violet plasma discharges forming inside the barrel as the breakdown voltage decreases.

[Matheorems @matheorems]

Watch mathematician Lisa Piccirillo derive the equivariant intersection form λ · μ = lk(∂λ, ∂μ) + ∑ handle intersections on the blackboard.

This framework was central to her proof that the Conway knot is not smoothly slice.

[Matheorems @matheorems]

The animation visualizes Stokes' Theorem in vector calculus: ∮_C F · dr = ∬_S (∇ × F) · dS.

Left side: animated orange curve C with moving blue F & red dr arrows.
Right: shaded S with orange curl loop symbols on blue field lines.

[Matheorems @matheorems]

10s generative animation of morphing abstract black particle swirls.

Silicon (Si, atomic #14) is 2nd most abundant in Earth's crust. 4 valence electrons enable tetrahedral bonds like carbon for semiconductor computation.

[Matheorems @matheorems]

Dashed lines radiate from the body like a dynamic vector field, syncing with each pose to form radial patterns.

Math visualization turning dance into geometry – parametric flow with discrete strokes in the studio. 2020.

[Matheorems @matheorems]

Lerp vs Slerp explained:

Lerp interpolates in a straight line and is useful for interpolating positions.

Slerp rotates around (0,0) and is useful for interpolating directions.

[Matheorems @matheorems]

Integration paints the perfect wave; summation builds it out of LEGO bricks.

∫ vs Σ

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“If you want to find the secrets of the universe, think in terms of energy, frequency and vibration.”

— Nikola Tesla

[Matheorems @matheorems]

Before silicon chips, NASA had needle and thread.

In the 1960s, skilled women hand-wove Apollo 11’s software into Core Rope Memory using copper wire and tiny magnetic rings.

Wire through a ring = 1
Wire around it = 0
The code was physically stitched in — impossible to delete or crash. It survived deep space radiation with just 72 KB of memory.

Sometimes the most advanced tech is handmade.

[Matheorems @matheorems]

This recursive Czech flag visual demonstrates self-similarity: each smaller nested copy is a scaled replica of the whole, exactly the defining property of fractals.

[Matheorems @matheorems]

See how Lissajous curves are formed by two perpendicular harmonic oscillations in this animated table. The top and left circles indicate the frequencies.

Each grid cell shows the combined curves for the frequency ratios.

[Matheorems @matheorems]

Aizawa Attractor is actually insane. One equation and you get this hypnotic 3D chaos that just keeps pulling you in.

[Matheorems @matheorems]

Mesmerizing chaos in motion!

812 double pendulums start with tiny angle differences. Their paths diverge dramatically, demonstrating chaos theory's sensitive dependence on initial conditions.

Visualization by Jonathan Nafziger.

[Matheorems @matheorems]

You won’t believe what the air looks like around a Boeing 777X landing gear at speed…

This insane turbulence simulation took over 1 million processor hours to run.
The hidden chaos behind every smooth flight

[Matheorems @matheorems]

Levitated water drop dances in mathematical harmonics!

Acoustic levitation causes oscillation in 3rd & 4th modes, forming stunning shapes from spherical harmonics Y_l^m.

Witness wave mechanics live!

[Matheorems @matheorems]

Srinivasa Ramanujan discovered an infinite series equaling 1/π given by

1/π = (2√2 / 9801) ∑_{n=0}^∞ [(4n)! (1103 + 26390n)] / [(n!)^4 396^{4n}].

From its first term arises the approximation π = 9801 / (1103 √8). These formulas originated in his studies of elliptic functions and modular equations.

It is used in efficient algorithms for calculating pi to arbitrary precision in mathematical software and in performance testing of computational systems.

[Matheorems @matheorems]

Concentric CMYK rings overlap and shift, generating dynamic moire patterns through color interference.

It is used to illustrate color separation principles in graphic design and CMYK printing.