Unbounded nested number sequences

UNNS Axioms Ladder

Constants Flow Through Nested Structures

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UNNS

Universal Nested Number Substrate/ Unbounded Nested Number Sequences

Core Philosophy

Set theory asks: "What can be contained?"
UNNS asks: "What can propagate?"
Together, they frame structure and resonance: skeleton and soul.

8

Foundational Axioms

From recurrence to undecidability

4

Progressive Levels

Structure → Algebra → Dynamics → Integration

∞

Dynamic Visualizations

Living mathematics in motion

Experience the Complete Axiom Ladder

Explore how mathematical constants flow through nested structures,
witnessing the emergence of complexity from simple recurrence relations.

🚀 Launch Interactive Visualization

https://ukbbi.github.io/UNNS/unns-axiom-ladder.html

What You'll Discover:

• ▸ Dynamic Constants Dashboard tracking 8 fundamental UNNS constants
• ▸ Real-time animations: recurrence loops, convergence spirals, propagation dynamics
• ▸ UPI (Universal Paradox Index) gauge with threshold detection
• ▸ Ascending lattice towers with orbiting mathematical constants (π, e, φ, G)
• ▸ Interactive controls: climb ladder, trigger paradox events, add emergent patterns

UNNS: Where Mathematics Comes Alive

A new paradigm for understanding propagation through nested structures