# Spiral determinants

## TL;DR

This paper investigates the determinants of spiral matrices characterized by entries that increase according to a specific pattern as they spiral outward from the center.

## Contribution

It introduces a method to evaluate determinants of spiral matrices with prescribed incremental patterns based on movement directions.

## Key findings

- Derived explicit formulas for determinants of spiral matrices.
- Identified conditions under which determinants can be computed efficiently.
- Provided insights into the structure of spiral matrices and their properties.

## Abstract

We evaluate determinants of "spiral" matrices, which are matrices in which entries are spiralling from the centre of the matrices towards the outside, with prescribed increments from one entry to the next depending on whether one moves right, up, left, or down along the spiral.

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Source: https://tomesphere.com/paper/1704.02859