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AI-Accelerated Entrepreneurship Practicum

The Trinity Graph Framework
Vanderbilt University · Owen Graduate School of Management · Spring 2026
Schedule
Mon & Wed
Duration
7 Weeks (Mar 9 – Apr 22)
Room
214, Management Hall
Instructor
Oliver Luckett
TA
Baxter Webb

Course Arc

WHO — Social Graph

Weeks 1–2 · Sessions 1–4

Identity, relationships, brand positioning. Who are you connected to, and how deeply?

WHAT — Knowledge Graph

Weeks 3–4 · Sessions 5–8

Entities, ontologies, domain knowledge. What do you know, and how do you verify it?

WHAT IF — Generative Graph

Weeks 5–7 · Sessions 9–14

AI agents, creative synthesis, execution. What if you could build it? What would it look like?

Grading

ComponentWeight
Midterm Presentation (Session 7)25%
Demo Day (Session 14)25%
Weekly Assignments35%
Participation15%

Session Schedule

Session 1Mon Mar 9

The Graph Is Everything

Graph theory, Euler/Konigsberg, Trinity Graph, IAM OS, first VanderBot interaction
Reading: Social Organism Ch 1, 3
Due before S2: VanderBot interaction
Session 2Wed Mar 11

Trinity Graph Hands On

Conversation to graph nodes, 14 runes, Omega Protocol, Kirk Progression
Reading: Social Organism Ch 3–4
Due before S3: VanderBot interaction + initial Trinity Graph nodes
Session 3Mon Mar 16

Vibe Coding & Brand Identity

"-ity" vocabulary, competitive positioning, radar mapping
Due before S4: Brand Positioning Memo (1 page) + 3 radar charts
Session 4Wed Mar 18

Knowledge Graph Design

Entities, facts, triples, 100-triple domain knowledge graph
Reading: AI Factory Ch 2–3
Due before S5: Knowledge Architecture Doc + "What We Don't Know" risk analysis
Session 5Mon Mar 23

Knowledge Graph Verification

Entity linking, ontologies, cross-graph integration
Reading: KG Embedding survey (Brightspace)
Due before S6: AI Reliability Analysis (2 pages)
Session 6Wed Mar 25

AI Reliability Audit

Where AI fails, grounded AI, domain risk
Due before S7: Persona Architecture Doc + 2-min demo video
Session 7 — MIDTERMMon Mar 30

Midterm Presentations

15-minute architecture walkthrough per pod. All pods present.
Session 8Wed Apr 1

Trinity Agent Design

RAG pipelines, agent reasoning, context engineering
Reading: RAG paper + ReAct paper (Brightspace)
Due before S9: Agent Logic Map + "Why Context Changes Everything" essay
Session 9Mon Apr 6

Generative Graph & Creative Synthesis

Cross-graph traversal, serendipity engine
Reading: Social Organism Ch 7
Due before S10: Semantic Architecture Doc (15 "-ity" words)
Session 10Wed Apr 8

Semantic Architecture & Brand Strategy

"-ity" vocabulary, differentiation, investor framing
Reading: AI Factory Ch 5
Due before S11: Trinity Financial Model + 1-page narrative
Session 11Mon Apr 13

Business Model & Financial Architecture

Unit economics, graph compounding, revenue modeling
Due before S12: Technical Partner Brief (3 pages)
Session 12Wed Apr 15

Integration & Technical Brief

Infrastructure scaling, constraints
Due before S13: User Feedback Report, Revised Demo Script, Updated system diagram
Session 13Mon Apr 20

Integration Review & Demo Prep

Final rehearsal, Q&A prep
Session 14 — DEMO DAYWed Apr 22

Live System Demos

Live system demos with external judges. 15 minutes per pod.

Required Readings

The Social Organism

Luckett & Casey (Hachette 2016) — Chapters 1, 3, 4, 7

AI Factory

Iansiti & Lakhani — Chapters 2, 3, 5

RAG Paper & ReAct Paper

Lewis et al. & Yao et al. — Available on Brightspace

Survey of KG Embedding Models

Available on Brightspace

Trinity Graph Framework

Social Dimension

Key Question: WHO are you connected to, and how deeply?

Relationships, community building, empathy, influence networks, team dynamics, stakeholder mapping, network effects.

Knowledge Dimension

Key Question: WHAT do you know, and how do you verify it?

Domain expertise, analytical rigor, pattern recognition, knowledge graphs, entity linking, ontologies.

Generative Dimension

Key Question: WHAT IF you could build it?

Creative output, execution speed, iterative building, prototyping, agent design, creative synthesis.

Kirk Progression (Steps 0–12)

StepStageDescription
0NewJust arrived. No interaction yet.
1First ContactHas interacted with VanderBot. Beginning to explore.
2ExploringHas conversations and initial data. Starting to form thoughts.
3OrientingHas identified a project or area of focus.
4BuildingExploring multiple concepts across dimensions. Active engagement.
5ResonatingEngaging with the ITY identity framework. Finding personal vocabulary.
6Locking InHas germline terms — identity concepts stable enough to teach others.
7ConnectingBuilding meaningful complement partnerships. Cross-pollinating ideas.
8CreatingGenerating creative output (images, prototypes, artifacts).
9IntegratingDeep engagement across all three dimensions. Cohesive worldview forming.
10TeachingCan explain their framework to others with clarity and conviction.
11LeadingActively shaping the cohort's direction. Influencing peers.
12TranscendingHas internalized the framework so deeply it's invisible. Just builds.

-ity Ontology (35 Terms)

Knowledge Cluster 13 terms

CertaintyKnowing what you know with evidence
ClarityCommunicating precisely through noise
ComplexityNavigating multi-layered systems
CuriosityRelentless drive to understand
IngenuityClever, non-obvious solutions
IntegrityConsistency between values and actions
JusticeFairness in decisions and resources
LucidityMaking complex understandable
NoveltyGenuinely new approaches
PossibilitySeeing potential where others see constraints
PrecisionExactness in thought and communication
SagacityDeep wisdom from experience
TelepathyReading situations with unusual accuracy

Generative Cluster 7 terms

AgilitySpeed of adaptation and iteration
AuthorityEarned credibility from mastery
CreativityGenerating original ideas and solutions
FluidityMoving smoothly between modes
TenacityPersistent drive past obstacles
VelocitySpeed of execution and delivery
VitalityEnergy and enthusiasm powering creation

Assignment Rubrics

Brand Positioning Memo (Due before S4)

Format: 1 page + 3 radar charts
Strong: Clear competitive positioning, specific -ity vocabulary, self-aware radar charts
Weak: Generic positioning, no Trinity Graph connection, all-5s radar charts

Knowledge Architecture Doc (Due before S5)

Format: 100-triple domain knowledge graph + risk analysis
Strong: Specific entities/relationships, clear ontology, honest uncertainty mapping
Weak: Vague entities, no domain research, generic risk analysis

AI Reliability Analysis (Due before S6)

Format: 2 pages
Strong: Specific AI failure modes in your domain, grounded mitigation strategies
Weak: Generic "AI can hallucinate" without domain specificity

Persona Architecture Doc (Due before S7)

Format: Architecture doc + 2-min demo video
Strong: Clear agent personality, tool integration, working prototype on video
Weak: Theoretical only, no demo, generic chatbot persona

Midterm Presentation (Session 7)

Format: 15-minute architecture walkthrough
Strong: Trinity Graph visible in architecture, clear S1-S6 progression, live demo
Weak: Slide deck only, no framework integration, no demo

Demo Day (Session 14)

Format: 15-minute live system demo with external judges
Strong: Working system, clear narrative arc, handles Q&A, Trinity Graph integration
Weak: Slide presentation, no live demo, can't answer technical questions

Tools & Platforms

VanderBot

Personal AI guide on WhatsApp. Evolving SOUL personality. Web search, image gen, deep research, GitHub, NotebookLM.

Claude (Anthropic)

Powers VanderBot's reasoning engine. Available for direct use in projects.

Google Gemini

Additional AI tool for research and analysis.

NotebookLM

Create notebooks, add sources, generate slides, flashcards, audio/podcasts.

Trinity Graph / Neo4j

Graph database tracking identity, concepts, projects, and relationships.

Brightspace

Course LMS for readings, submissions, and grades.

Contacts & Office Hours

Oliver Luckett

Instructor

Course vision, content, venture questions, partnership guidance. Available after each class (1hr, Room 214).

Baxter Webb

Teaching Assistant

Assignment logistics, grading, technical support. Contact via Brightspace messaging.

Office Hours

Weekly

After each Mon/Wed class (1 hour, Room 214). Thursday Zoom workshop.