nblade - N-dimensional Blade

High-Performance Geometric Algebra Library

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Overview

nblade is a high-performance geometric algebra library implemented in Rust, with Python bindings.

Features

• Arbitrary Dimensions — Up to 64-dimensional vector spaces
• Arbitrary Signatures — Support for G(p, q, r) metric signatures
• High Performance — Rust backend with parallel computing and SIMD optimization
• Dual Representation — Automatic dense/sparse selection
• Complete Operations — All standard geometric algebra operations
• NumPy Integration — Create vectors directly from NumPy arrays

Quick Install

pip install nblade

Quick Start

import nblade

# Create 3D Euclidean geometric algebra
alg = nblade.Algebra.euclidean(3)

# Get basis vectors
e1, e2, e3 = alg.basis_vectors()

# Create a vector
v = alg.vector([1.0, 2.0, 3.0])

# Geometric product
product = e1 * e2  # Bivector e12

# Outer product (wedge)
wedge = e1 ^ e2  # Bivector e12

# Inner product
inner = e1 | e2  # 0 (orthogonal)

# Rotation
import math
rotor = alg.rotor(e1 ^ e2, math.pi / 2)
rotated = e1.rotate_by(rotor)

Documentation

• Quick Start Guide
• Tutorials
• API Reference
• Examples

Links

Resource	URL
GitHub	https://github.com/UynajGI/nblade
PyPI	https://pypi.org/project/nblade/

Supported Operations

Operation	Symbol	Description
Geometric Product	a * b	Fundamental GA operation
Outer Product	a ^ b	Wedge product, spans subspace
Inner Product	a \| b	Projection relationship
Dual	a.dual()	Hodge dual
Rotation	a.rotate_by(R)	Rotate by rotor
Projection	a.project_to(b)	Project onto subspace
Reflection	a.reflect_in(n)	Reflect in plane

License

MIT License