Living Structures candidate attractors · self-produced?

Living Structures

Structures that may hold themselves together — laid out by the scale of life they model.

The gallery is a grid. Down the page run the scales of biology — from a reaction closing a loop on itself, up to lineages persisting while they vary. Across it runs the framework's one question: did the structure produce its own order, or was that order handed to it? Every simulation lands in one cell of this grid, so the gallery can branch across all of biology without losing its shape.

How to read a card

A card's scale (which band it sits in) is plain description — what the simulation models. A card's column (living vs supplied) is an authored intent, a teaching device — not a measurement. What you can trust in any panel is the run itself: does the basin recover, or rupture? A certified sovereignty verdict is not claimed here.

Molecular · autocatalytic

can a reaction set close a self-reproducing loop?

Belousov reaction–diffusion

candidate · molecular

An excitable chemical medium that organizes into travelling waves and spirals — the existing Belousov-Kernel lineage.

BasinThe starting states of the medium that organize into travelling waves and spirals instead of fading back to rest.
Open series →

Autocatalytic set

candidate · molecular

A → B → C → A, each step catalyzed by the next — a loop that makes more of itself. Cut the feed and watch it starve. Runnable now.

BasinThe starting mixtures and feed settings from which the A → B → C → A loop lights up and stays lit.
Enter simulation →

Cellular · membrane

can a boundary hold a distinction against diffusion?

Turing morphogenesis

reading · cellular

The theory of reaction–diffusion patterning — how a uniform field breaks into stable spots and stripes. A tribute page with a downstream RAPT reading; not a runnable panel. For a live reaction–diffusion sim, see the Belousov series above.

BasinThe near-uniform starting fields that break into the same stable spots or stripes.
Read the morphogenesis page →
Coming

Self-maintaining membrane

A boundary that repairs itself faster than it diffuses away — distinction persistence made runnable.

BasinThe damaged boundaries that repair back to one closed membrane.

Organismal · developmental

can a body-plan grow and hold its form?

Growth & repair

candidate · organismal

A form that grows to a target shape and restores it after damage — morphology as a maintained attractor. Cut it with the canvas or amputate half, and watch whether the boundary returns. Runnable now.

BasinThe cut and damaged forms that regrow to the target body-plan. A large enough excision lands outside it.
Enter simulation →

Population · ecological

can interacting populations orbit a shared basin?

Tri-Trophic Stack

candidate · population

Producer → herbivore → predator on a Duncan lattice. The populations are the basin; the sliders perturb it; watch it recover or rupture. Runnable now.

BasinThe population mixes that settle back into the same three-layer balance after a cull. Near predation 0.085 the run sits on the basin’s edge.
Enter simulation →

The Modeled Economy

candidate · population

The same three levels, and a finite pool of matter every one of them has to pay from. The only panel here where persistence is not free, and the only one whose pyramid is an outcome rather than a setting. Runnable now.

BasinThe world states from which all three levels persist on the shared pool of matter. At the defaults, 12 of 12 worlds held all three for 1,500 steps.
Enter simulation →
Coming

Predator–prey

Two-level cycles — the classic oscillating basin, the simpler cousin of the tri-trophic stack.

BasinStarting pairs that fall onto one repeating cycle. In the textbook Lotka–Volterra model they do not; each start keeps its own cycle.
Coming

Competition

Two producers, one resource — coexistence or exclusion as a basin question.

BasinTwo basins: starting mixes that settle into coexistence, and those that tip into exclusion.

Community · evolutionary

can lineages persist while they vary?
Coming

Mutation & selection

Heritable variation on the lattice — whether a lineage can hold its identity while it changes.

BasinStarting populations whose lineage keeps its identity while it varies.

Sovereign structures

which of these provably pay their own way?
Gated · not yet earned

Reserved

The column for structures the instrument can certify as self-producing — not merely surviving. It stays empty until the measurement is earned, and that emptiness is the honest reading, shown rather than hidden.

BasinNone named. A basin cannot certify sovereignty, which is why this column stays empty.

Looking for the contrast? Attractlets → — the null case: order that persists only on what is handed to it from outside.

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