AI 3D Quantum Logic Evolution
- travisrcstone1984
- Jul 22
- 4 min read
Quick Guide to Using the Symbolic Recursive Cube Generator
Set Cube Size: Choose how big your cube is (how many layers in each direction).
Set Dimensions: Pick how many directions (dimensions) your cube has (3 is normal).
Pick Value Range: Decide the range of numbers assigned to each cube point.
Generate Cube: Click “Generate Cube” to create random values in your cube.
See Results: The app shows values for each position and calculates differences.
Check Complexity: Click “Calculate F(n)” to see how complex your cube is.
Download Data: Save the cube’s numbers as a CSV file if you want.
What it does:Builds a multi-layered grid with numbers to explore patterns and symbolic differences.
Tip: Start small (3 layers, 3 dimensions) for easy use.
User Guide:
How to use the Symbolic Recursive Cube Generator app you provided:
Using the Symbolic Recursive Cube Generator:
A Simple Guide
Introduction
The Symbolic Recursive Cube Generator is a web application designed to help users explore multi-dimensional symbolic data cubes. It allows you to create cubes made up of layers and dimensions, assign values within them, and understand their symbolic complexity. This tool is useful for learning about abstract data structures, symbolic recursion, and multidimensional data analysis.
This guide explains how to use the app step-by-step in easy terms.
What is the Symbolic Recursive Cube Generator?
The app generates a cube of data points, where:
Each dimension is like an axis (like x, y, z in 3D space).
Each layer is a slice or level in that dimension.
Each point in the cube has coordinates specifying its position in all dimensions.
Each point is assigned symbolic numeric values called Alpha (α) and Beta (β), and the difference between them (Delta Δ).
You can think of it as a multi-layered grid with numbers assigned, allowing exploration of complex symbolic relationships.
Main Features
Define cube size and dimensions: Set how many layers per dimension and how many dimensions your cube has.
Choose value ranges: Decide the numeric range values assigned to each point.
Generate cube data: The app creates random values for each position.
Calculate symbolic complexity: Use a formula F(n)=P×VndF(n) = P \times V^{n^d} to estimate how complex your cube is.
Download data: Save your generated cube data as a CSV file for offline use or further analysis.
Step-by-Step Instructions
1. Set the Parameters
Permutations (P): Number of permutations or ways to arrange symbols. Default is 6, representing common 3D rotations.
Grid Size (n): Number of layers in each dimension (e.g., 3 means 3 layers).
Dimensions (d): Number of dimensions in the cube (3 is standard 3D).
Value Range: Choose the numeric range for the values in the cube points, such as -9 to +9 or 0 to 9.
2. Generate the Cube
Click the 🎲 Generate Cube button.
The app will randomly assign Alpha (α) and Beta (β) values to each coordinate in your multi-dimensional grid.
It calculates the Delta (Δ) as the difference between Alpha and Beta for each point.
The output section will display the first 50 positions and their values for review.
3. View Cube Statistics
The app shows:
Total number of positions in the cube (calculated as ndn^d)
The value range selected
The symbolic complexity F(n)F(n), showing how large the possible symbolic space is
The cube dimensions in terms of layers and dimensions
4. Calculate Complexity Separately
You can click the 📊 Calculate F(n) button to see the full complexity calculation using your current parameters.
This helps understand how quickly complexity grows with more dimensions and larger grid sizes.
5. Download the Data
Once a cube is generated, you can download the data as a CSV file by clicking 💾 Download CSV.
This file contains each point’s coordinates and their symbolic values (Alpha, Beta, Delta).
Understanding the Output
Position: Coordinates of the point (e.g., (0,1,2)).
Alpha (α): A symbolic value assigned to the point.
Beta (β): A baseline or reference value.
Delta (Δ): Difference between Alpha and Beta (α - β), showing change or variation.
The output helps visualize symbolic differences and patterns in a multi-dimensional space.
Practical Example
Suppose you set:
Grid Size (n) = 3 (three layers per dimension)
Dimensions (d) = 3 (a 3D cube)
Value Range = -9 to +9
When you generate the cube, the app creates 33=273^3 = 27 positions, each with random Alpha and Beta values between -9 and +9, and calculates Delta for each.
You can then analyze the symbolic variation across this cube or use the data for symbolic recursion experiments.
Tips and Troubleshooting
Keep grid sizes and dimensions manageable (like 3 to 5) to avoid very large datasets that slow down the app.
Make sure numeric inputs are valid and within allowed ranges.
Use the downloaded CSV for further data analysis or visualization in external tools.
Refresh the page if you encounter issues, and try generating smaller cubes first.
Conclusion
The Symbolic Recursive Cube Generator is a powerful yet simple tool to experiment with multi-dimensional symbolic data. By adjusting cube size, dimensions, and value ranges, you can explore complex symbolic structures and their combinational complexity. This app is ideal for students, researchers, and enthusiasts interested in symbolic recursion, multi-dimensional data, and abstract modeling.
Feel free to generate cubes, calculate their complexity, and download data to deepen your understanding!
By: Travis RC Stone 7/22/25
Cube Dimensional Triangulator
Comments