Digital Transformation Cascade: 2D Network Layout

Rollout Parameters

Adoption threshold θ 35%

Seed champions 3

Network density (avg links/dept) 4

Semester 0 — initiative not yet launched

Institutional State

0 / 0 departments0%

Semester

Newly converted

Cascade status

idle

Avg neighbor pressure

How it works

This is the 2D companion to the 3D university-adoption cascade simulator, computed independently rather than a flattened render of the 3D scene. It keeps the exact same Watts threshold-cascade physics on the same department collaboration network, but draws it with a genuinely 2D-native technique — a force-directed graph layout (Fruchterman–Reingold: nodes repel each other, edges pull their endpoints together) that lets you read cluster structure and bottleneck bridges directly, something the 3D orbiting sphere can't show as legibly from a fixed viewing angle.

Department i adopts when:
  (1 / k_i) · Σ_{j ∈ N(i)} x_j  ≥  θ_i

k_i   = number of neighbouring departments
x_j   = 1 if neighbour j has adopted, else 0
θ_i   = department i's resistance threshold

This is complex contagion, not simple diffusion (like a Bass S-curve): one convinced colleague rarely flips a department chair, but three or four independently doing so usually does. Drag the canvas to pan and scroll to zoom into any cluster; a coverage-over-time strip beneath the network — with no equivalent in the 3D version — plots exactly which semester the cascade tips or stalls.

Adoption threshold θ — the average fraction of already-adopted neighbours a department needs before it converts too. Lower θ = a more change-ready institution.
Seed champions — how many departments the transformation office starts with (pilot units, IT, a dean's office) — shown as orange nodes.
Network density — average number of cross-department links; sparser networks fragment into isolated pockets that never reach every corner, denser ones let pressure build faster.
Advance one semester — runs one synchronous update: every department recomputes its adopted-neighbour fraction and converts if it clears θ.

Real-world relevance: this threshold-cascade model (Granovetter 1978, Watts 2002) is the standard tool institutional-research offices and EdTech consultancies use to forecast how long a university-wide digital rollout will take, and to find which departments to seed first to avoid a stalled cascade.

Drag to pan · scroll to zoom

Adopted department Not yet adopted Seed champion