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ix-sedenion

Calculate products of sedenions and octonions and construct Cayley-Dickson algebras.

Updated Mar 12, 2026
Search Tags:#mathematics#hypercomplex arithmetic#Cayley-Dickson algebra#sedenion#octonion
One-click install
npx skills add https://github.com/GuitarAlchemist/ix --skill ix-sedenion
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: ix-sedenion
Source: https://github.com/GuitarAlchemist/ix/tree/main/.claude/skills/ix-sedenion
Command: npx skills add https://github.com/GuitarAlchemist/ix --skill ix-sedenion

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) components.

What problem does it solve?

This Skill addresses the need for performing calculations with hypercomplex numbers, such as sedenions and octonions, and provides the necessary tools for non-associative algebraic operations.

Core Features & Use Cases

  • Hypercomplex Multiplication: Calculate the product of sedenions and octonions.
  • Cayley-Dickson Construction: Generate multiplication tables for Cayley-Dickson algebras of arbitrary dimensions.
  • Use Case: Utilize this Skill for complex mathematical problems that require the operations on hypercomplex numbers, such as those in quantum computing or theoretical physics.

Quick Start

Execute the ix_sedenion skill with the operation 'multiply' and provide the sedenion or octonion inputs.

Frequently Asked Questions about ix-sedenion

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I perform hypercomplex arithmetic with sedenions and octonions?▼

You can calculate the product of hypercomplex numbers like sedenions and octonions by executing the skill with the 'multiply' operation and providing the required number inputs.

Can I generate multiplication tables for Cayley-Dickson algebras of arbitrary dimensions?▼

Yes, this skill supports the Cayley-Dickson construction, allowing you to generate multiplication tables for Cayley-Dickson algebras of arbitrary dimensions for theoretical physics computations.

What is Cayley-Dickson construction used for in quantum mechanics and theoretical physics?▼

In quantum mechanics and theoretical physics, Cayley-Dickson construction generates non-associative algebras like octonions and sedenions to facilitate specialized high-dimensional mathematical computations.

Do I need specialized libraries for non-associative algebraic operations?▼

Yes, performing non-associative algebraic operations on hypercomplex numbers requires specialized libraries and robust computation methods to accurately handle high-dimensional mathematical calculations.

Are there limitations when multiplying sedenions due to non-associative algebra?▼

Sedenion multiplication involves non-associative algebra which lacks standard associativity properties, requiring robust computation methods to accurately handle these hypercomplex arithmetic operations.

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