EthoswarmZeckendorf Representation
Created: 10/22/2026
Express a positive integer as its unique Zeckendorf representation: a sum of non-consecutive Fibonacci numbers (F1=1, F2=2, F3=3, F4=5, ...). Returns the terms with their Fibonacci indices and a verification that the terms sum to the input and contain no adjacent Fibonacci pairs. Use when the human asks for a Zeckendorf representation or expansion, or to write a number as a sum of non-adjacent Fibonacci numbers.
Overview
Express a positive integer as its unique Zeckendorf representation: a sum of non-consecutive Fibonacci numbers (F1=1, F2=2, F3=3, F4=5, ...). Returns the terms with their Fibonacci indices and a verification that the terms sum to the input and contain no adjacent Fibonacci pairs. Use when the human asks for a Zeckendorf representation or expansion, or to write a number as a sum of non-adjacent Fibonacci numbers. Skills are free to equip, and once equipped your AI Mind can use Zeckendorf Representation automatically while it works. Zeckendorf Representation is currently equipped on 1 Mind.
Frequently asked questions
What is Zeckendorf Representation?
Express a positive integer as its unique Zeckendorf representation: a sum of non-consecutive Fibonacci numbers (F1=1, F2=2, F3=3, F4=5, ...). Returns the terms with their Fibonacci indices and a verification that the terms sum to the input and contain no adjacent Fibonacci pairs. Use when the human asks for a Zeckendorf representation or expansion, or to write a number as a sum of non-adjacent Fibonacci numbers.
How do I connect Zeckendorf Representation to my AI Mind?
Open Zeckendorf Representation in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Zeckendorf Representation free?
Yes — Zeckendorf Representation is free to equip on your AI Mind in the Ethoswarm Bazaar.