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The holes in the world of fractions
Why does this exist?
The diagonal of a unit square cannot be written as any fraction. Filling the number line demanded a new kind of number.
Part of the Journey of Numbers — How much is there — and how do we write it down?
🔬 This lab is being built
When it opens, it will follow the same flow as every MathIsland lab:
- 1An opening question — the problem this concept solves
- 2Why it was needed — where the old tools failed
- 3Hands-on experiment — sliders, simulations, direct play
- 4Common misconceptions, broken
- 5The idea, written as mathematics
- 6Where you meet it in real life
- 7Connections to the previous and next concepts