---
slug: oip-catalogue-edge-types
title: The Catalogue: Edge Types
canonical: https://miscsubjects.com/a/oip-catalogue-edge-types
---

# Edge Types

2. The edge types (how voxels connect)

- `recurs-with` — same pattern, different domain. **These edges are your Venn points.** Weighted by domain-distance and derivation-independence.
- `dual-of` — polarity/inversion (A₁).
- `generalizes` / `specializes` — abstraction ladder.
- `derived-from` — one result formally entails another.
- `instantiates` — a concrete case of an abstract pattern.
- `contradicts` / `in-tension-with` — **the disconfirming edges. A node with none is a suspect node.**
- `maps-to-axiom` — into the Total Structure.

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## 3. The master invariants (the high-convergence spine)

The recurring structures that show up across the most domains at the lowest tiers. These are the load-bearing signatures. Build these first.

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## Corpus map
- Catalogue hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)
- Nodes: [C01](/a/oip-node-c01-gradient-dissipation-far-from-equilibrium-order) · [C02](/a/oip-node-c02-least-action-variational-principles) · [C03](/a/oip-node-c03-symmetry-conservation) · [C04](/a/oip-node-c04-symmetry-breaking-bifurcation) · [C05](/a/oip-node-c05-criticality-edge-of-chaos-power-laws) · [C06](/a/oip-node-c06-information-entropy-compression) · … (25 nodes)
- Edge series: [Convergence 1](/a/oip-convergence-edge-1) · [Disconfirming 1](/a/oip-disconfirming-edge-1)
