geom3d
Don’t just see geometry. Change it.
Don’t just see geometry. Change it.
Every visualization here is computed live from the mathematics underneath — not an animation standing in for it. Drag anything, and the numbers, the shape, and the code all move together.
For Nilgoon, for her big heart and kindness.
Learning paths
From the book
On Growth and Form, made interactive
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From the book
On Growth and Form, made interactive
In 1917, the Scottish biologist and mathematician D’Arcy Wentworth Thompson published On Growth and Form, arguing that a living thing’s shape owes as much to physics and mathematics as to natural selection — that a nautilus shell, a soap bubble, and a bee’s honeycomb cell all obey the same geometric laws that shape non-living matter too.
The Growth & Form section below turns sixteen of the book’s central ideas into things you can drag and watch respond — from the logarithmic spiral of a shell to the exact trimming angle that lets a bee’s cell use the least wax. Every number is computed live from closed-form mathematics and verified against independent derivations; nothing here is illustrative or approximate.