← Math DirectorPythagoras by rearrangement A walk to the river: a worked problem
Why 1 + 2 + … + n = n(n + 1)/2
The sum written forwards and backwards: every column adds to n + 1, checked with dots, then 5,050.
- Director
- Math Director
- Scene · film type
- Teach · Math explainers
- Format
- 16:9 · 71 s
- Sources
- From OpenStax Algebra and Trigonometry 2e, 13.4.
Each film was directed, scored and rendered by a coding agent with one of our skills, from a short brief. Turn the sound on.
Make one with Math DirectorMore from Math Director
Four triangles in one square, slid into new places: the empty space shows a² + b² = c².
Example of Math Director16:9 · 71 s
From OpenStax Prealgebra 2e, 9.3 and cut-the-knot proofs #4 and #9.
Where should you fetch water so the walk is shortest? Try a few places, then reflect B in the river and go straight: 10 km.
Example of Math Director16:9 · 99 s
A problem written for the film; every length computed and checked two ways.