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✨ This time, I created The Sandpile Cathedral.
🌌 Enter the Sandpile Cathedral
Imagine a universe governed by just one rule:
Whenever a square contains four grains of sand, it gives one grain to each of its four neighbors.
That's all.
Yet, as thousands of grains fall, astonishing geometric structures emerge: crystalline patterns, intricate boundaries, and enormous avalanches.
I built an interactive world where you can add sand, change the initial conditions, control the speed of avalanches, and save your discoveries as artwork.
But my favorite part is a second experiment, hidden behind the tab “The order-of-operations paradox.”
It contains two identical universes.
In one, you add sand at point A and then B. In the other, you reverse the order.
Their histories are different. Their avalanches unfold differently.
And yet their final configurations are identical, square for square.
This is the beautiful mathematics of abelian sandpiles.
I tested the experiment: all 2,401 squares matched.
The cathedral runs offline, including on mobile devices.
I wanted to create something illustrating a peculiar possibility: a world can have an unpredictable-looking history and still possess an inevitable destination. 🌿
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