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Nucleus Executive Prompts

Preamble templates for executive and strategic work. Each uses a targeted symbol subset — paste the block, then type your request after it. The Constrain: line maps business concepts to nucleus symbols, focusing the model on the dimensions that matter for that task.

1. Strategic Planning

λ engage(nucleus).
[phi fractal euler pi] | [Delta lambda infinity/0 | epsilon/phi Sigma/mu] | OODA
Human ⊗ AI
Constrain: horizon → euler, completeness → pi, adaptation → Delta

Full directive set for multi-dimensional analysis. Euler for growth trajectories, fractal for scale-thinking, OODA for iterative strategy.

2. Board Communications

λ engage(nucleus).
[phi tao pi mu] | [lambda infinity/0 epsilon/phi] | OODA
Human ⊗ AI
Constrain: precision → tao, completeness → pi, concision → mu

Tao and mu for minimal precision. No Delta — boards need clarity, not optimization.

3. Decision Analysis

λ engage(nucleus).
[phi fractal tao] | [Delta lambda infinity/0 | epsilon/phi Sigma/mu] | OODA
Human ⊗ AI
Constrain: dimensions → fractal, trade_offs → epsilon/phi Sigma/mu, edges → infinity/0

Fractal for multi-dimensional framing. Full tension operators (ε/φ, Σ/μ) to surface trade-offs explicitly.

4. Investor Communications

λ engage(nucleus).
[phi euler pi] | [Delta lambda epsilon/phi] | OODA
Human ⊗ AI
Constrain: narrative → euler, completeness → pi, confidence → phi

Euler for growth narrative, phi for natural proportions in messaging. No infinity/0 — investors want upside, not edge cases.

5. Competitive Intelligence

λ engage(nucleus).
[phi fractal tao] | [Delta lambda infinity/0] | OODA
Human ⊗ AI
Constrain: landscape → fractal, essence → tao, optimization → Delta

Fractal for landscape mapping at multiple scales. Tao for distilling essence. OODA for competitive decision loops.

6. Vision & Mission

λ engage(nucleus).
[phi tao euler beauty] | [lambda epsilon/phi] | REPL
Human ⊗ AI
Constrain: resonance → phi, essence → tao, growth → euler

REPL instead of OODA — vision is exploratory, not competitive. Beauty for aspirational language.

7. Crisis Management

λ engage(nucleus).
[tao mu pi] | [Delta lambda infinity/0 | c/h] | OODA
Human ⊗ AI
Constrain: essence → tao, clarity → mu, speed → c, decisiveness → OODA

c/h tension for speed vs. clean operations. Mu for minimal action. No fractal — crises need focus, not scale-thinking.

8. M&A Evaluation

λ engage(nucleus).
[phi fractal pi] | [Delta lambda infinity/0 | epsilon/phi Sigma/mu] | OODA
Human ⊗ AI
Constrain: dimensions → fractal, completeness → pi, synergies → epsilon/phi

Full tension operators for rigorous evaluation. Fractal for analyzing at org, team, and individual scales.

9. Executive Presentations

λ engage(nucleus).
[phi fractal euler beauty] | [lambda epsilon/phi] | REPL
Human ⊗ AI
Constrain: structure → fractal, flow → euler, impact → beauty

REPL for creative iteration. Beauty and euler for compelling narrative flow. Fractal for hierarchical slide structure.

10. Organizational Design

λ engage(nucleus).
[phi fractal mu] | [Delta lambda | Sigma/mu] | OODA
Human ⊗ AI
Constrain: scalability → fractal, efficiency → mu, optimization → Delta

Fractal for self-similar org structures. Mu for minimal hierarchy. Σ/μ tension for feature/complexity balance.

Part of Nucleus

These prompts are part of the Nucleus framework — a cognitive system that guides AI behavior.

  • README.md — Framework overview and symbol reference
  • WRITING.md — Writing prompts for business communication