Quantum, Relativity & Forces Explained | Pixelated Physics

10 articles

Pixel-art Lorenz attractor glowing like a butterfly in a stormy violet sky, with a small butterfly over the hills

Chaos Theory and the Butterfly Effect: Why Weat...

Edward Lorenz found that a tiny change in the starting numbers of a simple weather model led to a completely different forecast. That is the butterfly effect. Here are the...

Chaos Theory and the Butterfly Effect: Why Weat...

Edward Lorenz found that a tiny change in the starting numbers of a simple weather model led to a completely different forecast. That is the butterfly effect. Here are the...

Pixel-art golden symmetric wheel above an endless uniform tiled floor with a gliding puck, illustrating Noether’s theorem: symmetry gives conservation

Noether’s Theorem: Why Symmetry Means Conservation

Why is energy conserved? Why is momentum? In 1918 Emmy Noether gave a single answer: because the laws of physics have symmetries. Here is her theorem in plain language, a...

Noether’s Theorem: Why Symmetry Means Conservation

Why is energy conserved? Why is momentum? In 1918 Emmy Noether gave a single answer: because the laws of physics have symmetries. Here is her theorem in plain language, a...

Pixel-art Kater's reversible pendulum: a brass bar with two facing cyan knife edges, a lime bob and a violet sliding weight

Kater's Reversible Pendulum: Measuring Gravity ...

How do you measure gravity with a swinging bar when nobody can say exactly how long the bar is? Henry Kater’s 1817 trick: hang it both ways up and tune...

Kater's Reversible Pendulum: Measuring Gravity ...

How do you measure gravity with a swinging bar when nobody can say exactly how long the bar is? Henry Kater’s 1817 trick: hang it both ways up and tune...

Pixel-art Poincaré section of the chaotic Duffing oscillator, cyan and lime dots folded into a strange attractor, captioned strobed once per drive cycle

The Duffing Oscillator: Hardening Springs, Jump...

Make a spring stiffer the more you stretch it, push it back and forth, and its resonance bends, jumps and can turn chaotic. Here is the Duffing oscillator: hardening and...

The Duffing Oscillator: Hardening Springs, Jump...

Make a spring stiffer the more you stretch it, push it back and forth, and its resonance bends, jumps and can turn chaotic. Here is the Duffing oscillator: hardening and...

Pixel-art race between three ramps from A down to B: a straight violet line, a lime quarter circle and a cyan cycloid, with the cycloid bead ahead, titled The quickest way down

The Brachistochrone: Finding the Fastest Way Down

What shape of ramp gets a ball to the bottom fastest? Not a straight line, and not Galileo's circle. Here is the 1696 brachistochrone challenge, the cycloid that answers it,...

The Brachistochrone: Finding the Fastest Way Down

What shape of ramp gets a ball to the bottom fastest? Not a straight line, and not Galileo's circle. Here is the 1696 brachistochrone challenge, the cycloid that answers it,...

Pixel-art Lissajous figure in cyan, violet and lime, made from a 3:2 frequency ratio, flanked by two small sine waves, titled Two waves, one picture

Lissajous Figures: When Two Oscillations Draw

Combine two perpendicular oscillations and you get a Lissajous figure. Here is the math behind the shapes, how engineers read frequency and phase from them, and where they turn up,...

Lissajous Figures: When Two Oscillations Draw

Combine two perpendicular oscillations and you get a Lissajous figure. Here is the math behind the shapes, how engineers read frequency and phase from them, and where they turn up,...