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Stone Cube as a Quantum Convergence and Divergence APP

The Stone Cube App is a visual tool that helps you understand how things change and interact in space and time. It uses a 3D cube where you can place points with values, simulate how those points evolve or shift, and then track the patterns over time. It combines three linked apps: one lets you enter and view data in 3D space, the second shows how that data changes or spreads, and the third graphs those changes to reveal deeper trends. It’s simple enough for students, yet powerful for engineers, doctors, and educators who want to explore complex systems like energy, behavior, or symbolic meaning in a hands-on, visual way.



Synergistic Workflow: 3D Plot Viewer → Symbolic Cube Tracker → Recursive QCAD Explorer


Purpose:

Use this toolkit to analyze and visualize complex systems by mapping spatial data, simulating state evolution, and modeling recursive symbolic dynamics over time.


Step 1:

Map Spatial Data Points (3D Plot Point Viewer)


  • Input discrete data points with (X, Y, Z) coordinates and assign values representing energy, signal, or other metrics.

  • Measure local dissonance — how much a point deviates from neighbors — to detect anomalies or variation.

  • Rotate and inspect the 3D data cloud to understand spatial relationships.Output: Spatial data + dissonance values to seed simulations.


Step 2: Simulate System Evolution (3D Symbolic Cube Tracker)


  • Build a 3D grid (cube) with size n×n×n to represent the system volume.

  • Initialize cell states; recursively update each cell’s symbolic state (psi) based on neighbors.

  • Visualize state changes as color shifts; iterate to watch dynamic evolution over time.Output: Evolved psi values and iteration logs representing system state progression.


Step 3: Analyze Recursive Dynamics (Recursive QCAD Explorer)


  • Input time-series parameters:

    • Throughput (Tₙ): energy or capacity input

    • Exponent (Qₙ): feedback or scaling factor

    • Entropy (σ): disorder or variation level (can use dissonance from Step 1)

  • Animate recursive graphs displaying system phase changes with intuitive symbolic icons (🔥, 🌬, 🪨, 🌊).

  • Interpret long-term patterns like cycles, stability, or collapse.


Workflow Summary (Diagram)


graph TD
  A[Assign Data Points in 3D Viewer] --> B[Simulate State Evolution in Cube Tracker]
  B --> C[Model Recursive Dynamics in QCAD Explorer]
  A --> C

Pro Tips


  • Use dissonance values from Step 1 as entropy seeds in Step 3.

  • Export psi values from Step 2 as exponents in Step 3.

  • Keep cube size (n) consistent across models for coherent results.

  • Treat cube iterations as time steps feeding into recursive dynamics.


Quick Example


  • Input points at (1,1,1) with value 9 and (2,2,2) with value 2.

  • Use dissonance at (1,1,1) (e.g., 4.3) scaled (0.43) as entropy input.

  • Run cube tracker with n=3; observe psi evolution.

  • Extract psi values per iteration; input as exponents in QCAD.

  • Animate recursive dynamics; interpret system phase changes symbolized by icons.

This flow guides you from raw data input, through simulation, to advanced recursive analysis — ideal for complex system exploration in finance, science, engineering, or education.Here is a clear user guide explaining how to synergistically use the three models — the 3D Plot Point Viewer, the 3D Symbolic Cube Tracker, and the Recursive QCAD Explorer — in a logical workflow to explore spatial, symbolic, and recursive energy-based systems.


🔧 OVERVIEW


These three models can be used together as a modular toolkit for analyzing and visualizing complex recursive systems in space, time, and symbolic energy domains:


Model

Function

Use First?

🟦 3D Plot Point Viewer

Manually map data points in a 3D grid and measure local dissonance

✅ Yes (Define spatial inputs)

🟨 3D Symbolic Cube Tracker

Dynamically simulate cube state evolution (e.g., energy/psi field)

⚙️ Middle (Evolve system states)

🟥 Recursive QCAD Explorer

Graph recursive equations with input streams for throughput, exponent, entropy

🔁 Final (Model symbolic system dynamics over time)

📘 USER GUIDE


STEP 1️⃣:

Define Your 3D Data Points


🟦 Tool: 3D Plot Point Entry System


Purpose:

  • Plot points in a 3D cube.

  • Assign values (energy, charge, symbolic weights).

  • Measure local dissonance between a point and its neighbors.


How to Use:

  1. Enter X, Y, Z coordinates (from -9 to 9).

  2. Enter a Value (from -9 to 9) — can represent entropy, psi, energy, etc.

  3. Click "Assign" to map the point.

  4. Click "Dissonance" to see how much the point deviates from its neighbors.

  5. Use the View Perspective dropdown to rotate cube axis projection.

💡 Use this to encode input data that will inform the simulation in the next model.

STEP 2️⃣:

Simulate Symbolic Evolution


🟨 Tool: 3D Symbolic Cube Tracker


Purpose:

  • Visualize a real-time evolving cube in 3D.

  • Simulate recursive state changes per cell using psi calculations.

  • Track energy propagation, perturbations, or symbolic shifts.


How to Use:

  1. Set n (cube size) — number of divisions per axis (1–6).

  2. Click "Generate" to build the cube grid.

  3. Click "Compute" to simulate a recursive update step.

  4. Observe how the color of each cube changes based on psi.

🔁 Repeat "Compute" to simulate iterations over time.🧠 This shows how your data evolves symbolically or energetically in 3D.

STEP 3️⃣:

Explore Recursive Symbolic Trends


🟥 Tool: Recursive QCAD Input Explorer


Purpose:

  • Visualize symbolic/recursive behavior using custom entropy, throughput, and exponent data.

  • Graph results using Plotly charts.

  • Symbolically associate time-series behavior with icons (🔥🌬🪨🌊).


How to Use:

  1. Enter comma-separated values for:

    • Throughput (Tₙ): Capacity or energy input.

    • Exponent (Qₙ): Recursive scaling or feedback factor.

    • Entropy (σ): System disorder or fluctuation.

  2. Click "Start Animation".

  3. Watch the graph evolve and symbols animate to represent energy states.

📊 Use this after gathering values or trends from the 3D models.🔄 This step helps you model time-dependent symbolic behaviors like phase change, collapse, or harmony/dissonance over time.

🔗 SYNERGY MAP

mermaid

graph TD A[🔵 Assign Points in 3D Viewer] --> B[🟡 Evolve States in Symbolic Cube] B --> C[🔴 Plot Recursive Dynamics in QCAD Explorer] A --> C


🧠 TIPS FOR ADVANCED USERS

  • Use dissonance as entropy seed values in the QCAD Explorer.

  • Export the psi values from the 3D symbolic tracker into the exponent list.

  • Use consistent n values across all tools for visual coherence.

  • Let cube iteration logs become input time series for recursion graphs.


📌 EXAMPLE FLOW

  1. Set points at (1,1,1) and (2,2,2) with values 9 and 2.

  2. Use dissonance from (1,1,1) = 4.3 → add 0.43 to entropy input.

  3. Run symbolic cube tracker with n=3 → observe evolution and psi changes.

  4. Extract psi values from each iteration → fill exponent input in QCAD.

  5. Animate and interpret phase changes using symbols 🔥🪨🌬🌊.



created 7/24/2025
created 7/24/2025

 
 
 

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