The Rarest Cap+Domain Combinations: What the Pattern Lattice Shows

The Lattice Isn’t Uniform

165 personas. 3,050 theoretical cap+domain pairings possible. 117 actually observed — less than 4% of the theoretical space.

A cap pattern describes how your four capacities configure relative to threshold. A domain pattern describes how your five domains configure. The grid produces both simultaneously for every profile, and in theory any cap pattern could pair with any domain pattern. Across 165 clinical personas, the engine identified 50 unique cap patterns and 61 unique domain patterns — but only 117 unique combinations actually appeared, 3.8% of the theoretical 3,050. The rest is structurally vacant: combinations the geometry either discourages or effectively forbids.

This isn’t a sample-size artifact. The sparsity follows directly from how capacities and domains interact in the grid. Caps don’t choose their domain partners randomly. The same geometric constraints that produce a cap pattern simultaneously constrain which domain patterns can co-occur.

Where the Lattice Crowds

The most common combination appeared 12 times: Blown Out + Obliterated. When every capacity is firing past its over-threshold simultaneously, domains receive amplified input from every direction. The result is Obliterated — all five domains pushed past their upper boundaries. The geometry pulls in one direction, uniformly, and the cap and domain patterns lock step.

The standalone frequencies show how gravitationally locked the extreme cap patterns are. Blown Out appears 14 times across the 165 personas: 12 of those 14 land on Obliterated. That’s 86% of all Blown Out profiles clustering on a single domain pairing. Total Shutdown shows the same pull: 14 total appearances, with 9 of them paired with Nullified. Buried: 13 appearances, 9 of them Nullified. These cap patterns are so directionally oriented that they pull almost exclusively toward one domain outcome. At the extremes, the lattice doesn’t just have preferred routes — it has nearly mandatory ones.

Total Shutdown + Nullified and Buried + Nullified each appeared 9 times. Total Shutdown is the all-caps-under configuration; Nullified is all-domains-under. When every capacity collapses below threshold, domains lose their upstream activation and collapse too. Buried is a variant of the same logic: a multi-cap-under pattern where Bond and Open specifically collapse, dragging the relational and perceptual domains into Nullified territory.

These three pairings account for 30 of the 165 total observations — nearly one in five personas. The lattice isn’t just non-uniform; it’s gravitationally warped around the extremes.

Further down the list, Fixating + Storming appeared 3 times. Fixating means Focus is over-activated while Open narrows — that specific cap geometry funnels energy into the mental domain, producing the overactivation the engine labels Storming. It’s the architecture of cognitive anxiety: tight perceptual aperture, high analytic intensity, mental domain in overdrive. The cap pattern doesn’t just correlate with the domain pattern. It mechanistically produces it.

Where the Lattice Empties

Of the 117 unique combinations observed, 82 appeared exactly once — 70% of all distinct pairings showing up in a single persona out of 165.

Some singletons are rare because they’re structurally contradictory. Exploding + Numb appeared once. Exploding means Move capacity is in extreme over-activation — full expressive output, vocal system firing at maximum. Numb means the emotional domain has dropped below its under-threshold, registering nothing. The contradiction: your expressive system is in full eruption while your emotional system is offline. Move over-activation almost always co-occurs with emotional domain activation, because the vocal-expressive system draws on emotional content. Stripping that content while the system stays at maximum requires a dissociative architecture where expression has fully decoupled from the emotion it would normally carry.

Diffusing + Numb appeared once. Diffusing is Open under — perceptual closure, the system narrowing its intake. Both patterns are under-activated but on different axes: one shuts down perception, the other shuts down affect. They reinforce each other only when both closures happen simultaneously without one causing the other. That’s a picture where two independent systems each independently go dark.

Berserk + Detonated appeared once because of structural extremity. Berserk is the most extreme all-caps-over state; Detonated is an extreme domain-over explosion. Both require nearly every axis simultaneously past its over-threshold at extreme magnitudes. The combination demands either acute psychosis or severe mania to generate the raw activation levels across every axis.

Gripped + Seizing appeared once. Both patterns involve a locked quality — Gripped means the caps are held in a rigid configuration; Seizing means the domains are locked in a rigid configuration. The co-occurrence means both the capacity and domain axes are simultaneously in self-reinforcing lock states with neither side breaking free. This requires a compulsive structure where behavioral locking and domain locking reinforce each other in a stable mutual freeze.

Scrutinizing + Marauding appeared once. Scrutinizing is Focus over with Open under — a tight inward cognitive pattern. Marauding is an aggressive, outward-directed domain state. The cognitive system is turned inward with narrow aperture while the domain system is turned outward with predatory energy. For both to fire simultaneously, you need intense internal focus coexisting with externally directed aggression — geometrically incompatible in most configurations because the Open axis can’t easily serve both inward cognitive narrowing and outward aggressive expansion at the same time.

The Structural Logic of Sparsity

The frequency data reveals three rules governing the lattice’s shape.

Rule one: uniform cascades cluster. When all capacities move in the same direction (all over or all under), domains tend to follow uniformly. This produces the high-frequency combinations at the extremes: Blown Out + Obliterated, Total Shutdown + Nullified, Buried + Nullified. The lattice has dense nodes at its poles because uniform activation cascades are the simplest structural pathway.

Rule two: contradictory axes repel. When a cap pattern implies activation on one axis while the domain pattern implies suppression on a geometrically related axis, the combination becomes rare. Exploding + Numb, Scrutinizing + Marauding, and similar singletons exist in the sparse corners because they require two structurally opposed configurations to fire simultaneously.

Rule three: extreme co-activation is expensive. Berserk + Detonated requires every axis at maximum. Most profiles that push caps to extremes show mixed or moderate domain patterns, and vice versa. Uniform extremity across both sides is structurally expensive and clinically uncommon.

The Long Tail and the Dimensionality Gap

Between the crowded poles and the empty corners sits the middle of the lattice. 5 personas showed no cap pattern and no domain pattern — the centered configuration where nothing is past threshold in either direction. Another 3 showed no cap pattern with Obliterated domains, and 3 more showed no cap pattern with Nullified domains. These “half-pattern” profiles break the cascade logic: domain distortion originating from somewhere other than the standard capacity pathways.

The 18 cap patterns that appeared only once (Blank, Bombarded, Catatonic, Embroiled, Ensnared, Locked, Fanatical, Feral, Helpless, Imprisoned, Inspecting, Retaliating, Spiraling, Spewing, Steeling, Stuck, Submerged, Suffocated) and the 28 domain patterns that appeared only once represent the lattice’s long tail. Each describes a real geometric configuration, but each occurs rarely because the threshold crossings required are narrow and clinically uncommon.

There are more unique domain patterns (61) than cap patterns (50), which follows from the dimensionality. Five domains create a higher-dimensional space than four capacities — more axes means more possible configurations, and a longer tail of rare patterns. The domain side of the lattice is inherently more diverse, which is why domain patterns like Nullified and Obliterated dominate so heavily: they’re the few basins of attraction in a larger space. Nullified alone appeared 24 times across 165 personas. Obliterated appeared 18 times. Together, those two patterns account for nearly 25% of all domain pattern observations. The remaining 59 domain patterns split the other 75%.

The crowded nodes cluster at the poles because uniform cascades are structurally cheap. The empty corners stay empty because contradictory or extreme co-activations are structurally expensive. And the long tail of singleton combinations represents the lattice’s narrow passages — geometrically valid configurations that require such specific conditions that clinical reality rarely produces them. The lattice’s shape isn’t random variation. It’s a direct consequence of how four capacities and five domains constrain each other through the grid’s geometry.