Visual identity system / prototype

Equilibria

Designing new forms of collective intelligence.

The Equilibria identity is measured and minimal, drawing on mathematical notation and architectural working drawings. Clear lines, sharp edges, honest structure, and restrained technical texture give complex-systems research a legible visual form. This revision retains the measured system and adds disciplined hand drafting: equations, hypotheses, and graph structures that feel actively reasoned through without making the interface itself imprecise.

what if the diagram is part of the argument—not an illustration after it?

FIG. 01 / THE MARK AS A DYNAMICAL SYSTEM
dx/dt = σ(y − x)ρ = 28one line / unequal basins / open trajectory?
ASYMMETRIC MARK STUDY / NOT YET SELECTEDOne continuous reproducible SVG path.
01 / MARK EXPLORATION

ONE LINE / MANY DYNAMICS

The mark is no longer assumed to be symmetrical.

Every candidate is generated by the same Lorenz system used on the home page. The phase and sampling window reveal unequal basins; nearby parameter studies test proportion without replacing the underlying mathematics with invented curves.

select the motion first; tune the exact curve second

04Quiet return
σ10 / ρ28 / β8⁄3

Fewer revolutions leave clearer counters and a restrained crossover.

02Right weighted
σ10 / ρ28 / β8⁄3

The same system caught during a longer right-hand orbit.

07Slow coupling
σ9 / ρ28 / β8⁄3

Lower sigma stretches the exchange between variables.

CONTEXT / WORDMARKEquilibria
CONTEXT / REVERSEDEQ

Candidate 04 is shown only as a scale/context placeholder. No candidate is promoted to the production mark until selected and optically refined.

02 / RETAINED SYSTEM
a / retained

Hairline frame + ticks

Content sits on a drawn sheet: a 1px ink-15% frame with corner ticks, like a measured drawing.

b / retained

Diagonal hatch

The texture that replaces flat white and the old photo. A fine 45° hatch in ink-6%, nothing more.

c / retained

Hatched card

The card the site already gets right, elevated: sharp edges, hatch ground, a hairline border, a mono tag.

d / retained

Annotated rule

Section breaks are a full hairline with a mono label riding on it — the drawing-callout motif.

keep the order—loosen only where thought is still moving

03 / COLOUR + TYPE
Ink#003B7E
Accent#4AB3F4
Void#0B1F3A
Paper#FFFFFF
Line#003B7E26
DISPLAY / SPACE GROTESKCollective intelligence
DATA / IBM PLEX MONOSTATE 04 / NODES 28 / TIES 47
WORKING MATH + NOTES / KALAM∂V/∂t ≤ −αV(x) → stable under perturbation?
04 / DRAWING SYSTEM

DISCIPLINED HAND DRAFTING

Precise enough to explain. Human enough to think with.

The interface remains exact. Hand-drawn geometry appears where the work is exploratory: models, equations, hypotheses, causal arrows, and marginal notes.

  • variation is local, never global noise;
  • most strokes are confident and smooth;
  • corrections and open contours are rare;
  • the same model can animate without changing its visual identity.
FIELD NOTE / RESILIENCE
OBSERVATION / 04.1

Redundancy is not the same as resilience.

A network may have many connections and still depend on a small number of structural bridges.

Nodes
09
Edges
15
Bridges
02
WORKING MATH / 04.2

λ₂(L) > 0

⇒

one connected component

but how quickly does cooperation recover after the cut?
FIG. 02 / CANONICAL GRAPH GRAMMARINTERACTIVE / ANIMATION-READY
AI agents are integrating into societyAutonomous systems are no longer isolated behind APIs. They trade, negotiate, allocate resources, and make decisions alongside people and institutions. The result is a social fabric — a network of humans, organizations, and AI agents connected through overlapping relationships and dependencies. This prototype displays a four-layer directed acyclic graph from signals through interpretation and decisions to consequences. Circles are humans, triangles are AI systems, and squares are institutions. Open, hatched, and solid fills show receiving, interpreting, and committed states. Thin ink shows ordinary directed relations; a bold blue line marks one consequential path.1234567891011121314151617181920
Select a node to trace its parents and downstream consequences.AI agents are integrating into society

Open the diagram stroke lab →Compare curve geometry, ink recipes, seeds, and open arrowheads.

05 / REPRESENTATIONAL SKETCH

THE HUMAN HAND / ACTIVE INQUIRY

The network is being made, tested, and revised.

Representational sketches can carry the human side of collective intelligence: hands, tools, institutions, organisms, and places. They share the graphite grammar of the diagrams without turning the whole interface into a facsimile notebook.

show the act of inquiry—not just its polished result

A graphite hand draws a network of nodes, orbital paths, arrows, and mathematical construction lines.GENERATED STUDY / GRAPHITE NETWORK / 2026
06 / CANONICAL TOOLTIP

Tooltip

Keep the existing explanation pattern.

A solid ink annotation appears above technical terms on hover or keyboard focus. The dashed underline signals that an explanation is available.

Constrained by a Lyapunov envelopeA bound that provably contracts over time. during training.

Measured against the influence budgetThe maximum causal effect a policy may exert. per rollout.