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Your Universe of Digital Possibilities
Conway's Game of Life, let go of its grid. Instead of on/off cells on a tick, a smooth field is read through a soft ring and a bell-shaped growth map — continuous in space, time and state. Out of it condense self-propelled organisms: the Orbium swims and banks like something alive, sitting at the centre of a basin of attraction. Pick a species, push the growth centre and width to mutate it, and paint matter to seed new life. Emergent life from a rule with no blueprint — the smooth twin of The Garden.
Every cell reads its neighbourhood through a kernel K, runs the total through a growth map G, and edges up or down by a small Δt. Take Δt → 1 and the kernel to Life’s 3×3 count and this is The Garden — Lenia just lets the grid, the clock and the state all go smooth.
A bell curve in [−1, 1]: a neighbourhood total near the sweet spot μ makes a cell grow, anything too sparse or too crowded makes it decay. Life’s hard “born on 3, survive on 2–3” became a smooth dial — and the width σ is how forgiving it is.
The kernel is a soft ring — each cell weighs an annulus of neighbours, not just the eight touching it. That single ring, normalised to sum to one, is the whole difference between a pixel grid and a medium an organism can swim through.
Conway’s hard rule — born on exactly three, survive on two or three — is what Lenia becomes when you snap its ring back to eight neighbours, its growth map to a step, and its clock to a tick. The Broth is this law with all three let go.
Von Neumann and Ulam built the first cellular automaton in 1948; Conway’s Life made it famous in 1970; and in 2019 Chan let the grid, the clock and the on/off state all melt into the continuum — and found the rule still grows creatures, now smooth and swimming. It is the artificial-life kin of The Garden, shares its emergent-form thesis with The Skin’s reaction–diffusion, and asks the same question as The Engram: whether a self is just a stable pattern a medium falls into.