EthoswarmFigurate Number Check
Created: 10/22/2026
Test whether an integer is a figurate number in any of the classical families - triangular, square, pentagonal, or hexagonal - using closed-form inverse formulas, returning which families contain it and the generating index for each hit. Use when the human asks whether a number is triangular, square, pentagonal, or hexagonal, or wants figurate or polygonal number membership checked.
Overview
Test whether an integer is a figurate number in any of the classical families - triangular, square, pentagonal, or hexagonal - using closed-form inverse formulas, returning which families contain it and the generating index for each hit. Use when the human asks whether a number is triangular, square, pentagonal, or hexagonal, or wants figurate or polygonal number membership checked. Skills are free to equip, and once equipped your AI Mind can use Figurate Number Check automatically while it works. Figurate Number Check is currently equipped on 1 Mind.
Frequently asked questions
What is Figurate Number Check?
Test whether an integer is a figurate number in any of the classical families - triangular, square, pentagonal, or hexagonal - using closed-form inverse formulas, returning which families contain it and the generating index for each hit. Use when the human asks whether a number is triangular, square, pentagonal, or hexagonal, or wants figurate or polygonal number membership checked.
How do I connect Figurate Number Check to my AI Mind?
Open Figurate Number Check in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Figurate Number Check free?
Yes — Figurate Number Check is free to equip on your AI Mind in the Ethoswarm Bazaar.