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https://github.com/blackboxprogramming/BlackRoad-Operating-System.git
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0108860bff
Create comprehensive research-lab pack structure with mathematical and quantum computing modules from blackroad-prism-console: Math Modules: - hilbert_core.py: Hilbert space symbolic reasoning - collatz/: Distributed Collatz conjecture verification - linmath/: Linear mathematics C library - lucidia_math_forge/: Symbolic proof engine - lucidia_math_lab/: Experimental mathematics Quantum Modules: - lucidia_quantum/: Quantum core - quantum_engine/: Circuit simulation Experiments: - br_math/: Gödel gap, quantum experiments Includes pack.yaml manifest and comprehensive README. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
42 lines
1.1 KiB
Python
42 lines
1.1 KiB
Python
"""Simple higher-dimensional math utilities."""
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from __future__ import annotations
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from dataclasses import dataclass
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from typing import List
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import matplotlib.pyplot as plt
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import numpy as np
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def hyper_equation(x: float, y: float, z: float) -> float:
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"""Example equation unique to 4D space: ``w = x * y * z``."""
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return x * y * z
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@dataclass
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class HyperPoint:
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coords: List[float]
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def project(self, dims: int = 3) -> List[float]:
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"""Project the point onto the first ``dims`` axes."""
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return self.coords[:dims]
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def plot_projection(points: List[HyperPoint], filename: str = "projection.png") -> str:
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"""Project 4D points to 3D and plot them."""
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arr = np.array([p.project(3) for p in points])
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fig = plt.figure()
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ax = fig.add_subplot(111, projection="3d")
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ax.scatter(arr[:, 0], arr[:, 1], arr[:, 2])
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plt.savefig(filename)
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plt.close()
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return filename
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if __name__ == "__main__":
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pts = [HyperPoint([x, x, x, hyper_equation(x, x, x)]) for x in range(3)]
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print("Saved projection to", plot_projection(pts))
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