understand

Interactive explainers for curious 10-year-olds, built one idea at a time with simulations you can poke. Plus the prompts that made them and the reviews that fixed them.

Topics

Euler's formula for solid shapes: corners − edges + faces = 2

Count a football, find the pattern, then prove it can never fail. 12 sections, 16 live shapes. For a 10-year-old alone, two sittings.

Euler's identity: eiπ + 1 = 0

Multiplying is stretching and turning. Do a tiny turn many times and you walk round a circle. 10 sections, 10 live sims. A 12-to-14-year-old alone, or a 10-year-old with a parent.

How they were made

Modelled on "Let's Build a Brain" by Aatish Bhatia and Arkarup Banerjee. Source on GitHub.