As corporate environments have grown more complex and tech-driven, criminologists have expanded the traditional three-sided model to account for additional personal and organizational variables. The Fraud Diamond introduces Capability as a fourth dimension, while the Fraud Pentagon adds Competence and Arrogance to the core behavioral map. [1, 2]
  ┌────────────────────────────────────────────────────────┐
  │              THE EVOLUTION OF BEHAVIORAL MAPS          │
  └───────────────────────────┬────────────────────────────┘
                              ▼
  ┌────────────────────────────────────────────────────────┐
  │   FRAUD TRIANGLE ──► Pressure, Opportunity, Rationalize │
  │   FRAUD DIAMOND  ──► Adds: Individual Technical Capability│
  │   FRAUD PENTAGON ──► Adds: Executive Arrogance & Hubris│
  └────────────────────────────────────────────────────────┘

The Fraud Diamond Dimension
The Fraud Diamond establishes that an individual may face intense pressure, identify a severe control gap, and rationalize the act, but cannot execute the scheme without the required Capability. Capability represents the perpetrator’s specific organizational authority, technical skills, and institutional access required to bypass controls and conceal the fraud event over an extended period. [1]
The Fraud Pentagon Dimensions
The Fraud Pentagon incorporates advanced executive psychologies, focusing on Arrogance (Hubris). Arrogance represents the executive mindset that believes corporate rules and internal policies apply only to standard employees, not to senior leadership. This sense of superiority allows perpetrators to override automated system controls, ignore Line-2 compliance warnings, and manipulate accounting treatments without internal psychological friction.