Wiki · Arcology history · Mathematics

Wiki Arcology history · Mathematics

Mathematics of compact cities

How Earth engineers check a drawing before anyone pours — fields and algorithms, not a Concordia control room.

From steel to crowds

Published Earth methods, framed for 2490 Museum / Zoggoling readers. Classroom sketches live on Tools. Concordia does not run these simulators as a game system, and ASI is not a software product on this page.

Why the catalog keeps the math

A paper city can ignore a jam. A sealed envelope cannot. The bottleneck that keeps a 100,000-person megastructure on paper is not only steel. It is whether anyone can show, in numbers, that the structure stands, the air moves, and the crowd can leave a hall. 2490 readers inherit those Earth methods the way they inherit Bessemer and Otis: as curriculum, not as Opening Day magic.

Finite elements and topology

Finite element analysis (FEA) chops a continuous structure into a mesh of small elements and solves huge systems of partial differential equations for stress, strain, and heat. Engineers have used it for aircraft, dams, and towers since the late twentieth century. You cannot hand-calculate a hexagonal 3-D frame in wind. You mesh it.

Topology optimization then asks a sharper question: given loads and a material budget, where should matter exist at all? The usual pictures look like bones — thick where force travels, empty where it does not. Generative design tools feed limits (wind, quake, weight) and iterate. That is a 21st-century industrial habit. Applying it to an entire enclosed city is a planning ambition, not a completed Earth project. It is also not a claim that Concordia’s plates were grown in a solver.

Graphs of rooms

Treat rooms as nodes and doors as edges and you have a graph. Distance, redundancy, and choke points become questions you can ask without drawing a pretty perspective. Dijkstra’s algorithm (1959) and later A* search are the textbook shortest-path tools. Fire codes already think this way: more than one way out, widths that match occupancy. In a thick megastructure the same math is harsher because you cannot always add another street.

Play still names the rooms. This page names the Earth math underneath. More geometry: Space-packing.

Many movers at once

Construction of a megastructure is a traffic problem before it is a city. Multi-agent path finding (MAPF) is the family of algorithms warehouses already use to keep robots from colliding. Critical-path scheduling is older: if a copper shipment slips two days, which tasks actually move. Swarm language in a pitch deck is optional; the math is ordinary operations research. Concordia’s build era (~2066 toward Opening 2090) is lore on History. This page does not invent a drone ballet for it.

Crowds

At low density, people choose paths. At high density they behave more like a compressible fluid. Engineers mix macroscopic flow models, Helbing’s Social Force Model (1995), cellular automata, and agent-based crowds. Full notes: Crowd flow. A tiny classroom particle sketch — not an operations panel — sits on Tools · Crowd flow.

Control

Keeping temperature, pressure, and power from hunting around a setpoint is control theory. Model predictive control looks a short way ahead; Markov decision processes handle choices under uncertainty. Using those tools as a metaphor for a whole polity is a sketch. Full notes: Control.

What Concordia is not running

These methods are Earth engineering. They are not a digital twin of Section 0, not a product ASI sold, and not a hidden HUD. If a sentence would tell a player how a bulkhead chooses whom to seal, it does not belong on a public wiki page. Story Mode keeps Story.

Principles: Principles. Playable sketches: Tools. Civic timeline: History.