Topic · in development — big ideas below
Geometry
Space, shape, and the logic of seeing.
Geometry is mathematics you can point at: lengths, angles, areas, and the surprising rules that connect them. It's also where you first watch a fact get proven — not asserted, proven.
The big ideas
Shapes have laws
Triangle angles always total 180°. Not usually — always. Geometry is the discovery that space itself follows rules.
Proof beats measurement
Measure a thousand right triangles and you'll suspect a² + b² = c². Prove it once and you know it for every right triangle that will ever exist.
Area and volume scale strangely
Double a shape's size and its area ×4, its volume ×8. This one idea explains why ants are strong, why cells are small, and why big ships are efficient.
Out in the world
GPS & navigation
Your phone finds you by triangulating distances to satellites — geometry at planetary scale.
Computer graphics
Every 3D game frame is triangles, transformations, and projections, millions of times a second.
Architecture
Load paths, sight lines, and material estimates all start as geometric calculations.
The planned course
- 01Points, lines & anglesThe vocabulary of space.soon
- 02TrianglesThe strongest shape, and geometry's favorite.soon
- 03The Pythagorean theoremThe most useful fact in mathematics — with a proof you can see.soon
- 04Circlesπ, arcs, and why wheels work.soon
- 05Area & volumeMeasuring 2D and 3D space, and the scaling laws.soon
- 06Transformations & symmetrySliding, spinning, reflecting — geometry in motion.soon
While you wait — this connects to material that's live now