Archive - lcamtuf’s thing

A warm, late-summer night in Bruges.

Jul 14

June 2025

Gödel's beavers, or the limits of knowledge

Can you examine infinitely many integers in finite time? Are there numbers you're not allowed to know? Can a monkey beat a beaver in a fair fight?

Jun 30

Self-referential abstractions

A quick look at the wacky epistemology of analog circuitry.

Jun 6

The proof that π = 4

Recreational math: why a troll proof involving circles is less wrong than it seems.

Jun 5

0.9999... ≊ 1

What is infinity, and why it's not trivial to show that 0.9999... is equal to 1.

Jun 1

May 2025

Decibels are ridiculous

Celebrating a rare dumpster fire in the kingdom of science.

May 22

Complex numbers #2: a world in 3D

Why is there no equivalent of complex numbers for three dimensions? And what's the deal with quaternions?

May 19

A 20-minute intro to complex numbers

You might have heard of complex numbers before -- but what's the actual significance of i = √-1?

May 16

The Mathematics of Love

Interior of an upscale restaurant, night.

May 13

Sierpiński triangle? In my bitwise AND?

Exploring a peculiar bit-twiddling hack at the intersection of 1980s geek sensibilities.

May 10

April 2025

The Long Winter

Interior of a vast cavern.

Apr 28

My approach to teaching electronics

Explaining the reasoning behind my series of articles on electronics -- and asking for your thoughts.

Apr 19

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