Paper Visualizations
Interactive charts, tables, and diagrams from IRSA research papers. These visualizations complement the formal mathematical proofs with intuitive representations.
Interactive Parameters
Adjust these parameters to see how they affect all visualizations below. Default values from PSC v2.0: C₀ = $100K, γ = 1.7, N = 30.
Figure 1: Capital Evolution per Cycle
Cn = C0 × Rn-1 — Capital available decreases geometrically each cycle
Figure 2: Cumulative Capital Deployment
Total capital deployed vs single grant baseline (dashed line)
Figure 3: System Value Multiplier Reference Table
SVMbenefits = γ × (1 - RN) / (1 - R) — Key values from PSC v2.0 Section 6.4.1
| R Factor | Theoretical SVM | SVM (N=30) | Total Value | % Retained |
|---|---|---|---|---|
| 100% | ∞× | 51.0× | $3.1M | 100.0% |
| 98% | 50.0× | 38.6× | $2.3M | 54.5% |
| 96% | 25.0× | 30.0× | $1.8M | 29.4% |
| 94% | 16.7× | 23.9× | $1.4M | 15.6% |
| 92% | 12.5× | 19.5× | $1.2M | 8.2% |
| 90% | 10.0× | 16.3× | $962K | 4.2% |
| 85% | 6.7× | 11.2× | $662K | 0.8% |
| 80% | 5.0× | 8.5× | $500K | 0.1% |
| 75% | 4.0× | 6.8× | $400K | 0.0% |
| 70% | 3.3× | 5.7× | $333K | 0.0% |
| 60% | 2.5× | 4.2× | $250K | 0.0% |
| 50% | 2.0× | 3.4× | $200K | 0.0% |
Note: Total Value = (SVM × C₀ / γ) + CN+1. Theoretical SVM = 1/(1-R) assumes infinite cycles.
Figure 4: PSC vs Traditional Capital Models
Cumulative deployment comparison: PSC vs one-time grant vs 3-cycle loan
Figure 5: PSC Capital Lifecycle
Conceptual flow showing how capital cycles through the system
After 30 cycles, total deployed = 8.5× initial capital, with $124 remaining for future cycles.
Paper Reference
These visualizations are based on formulas from the PSC Framework paper v2.0. For full mathematical proofs and derivations, see the published paper.