# Mutation of type $D$ friezes

## TL;DR

This paper investigates how mutation affects type D friezes, offering a combinatorial formula for their entries post-mutation by relating them to type A friezes.

## Contribution

It introduces a new combinatorial formula for mutated type D friezes and connects them to type A friezes through a specific transformation.

## Key findings

- Derived a combinatorial mutation formula for type D friezes
- Linked type D friezes to type A friezes via a transformation
- Provided explicit entries for mutated friezes

## Abstract

In this article we study mutation of friezes of type $D$. We provide a combinatorial formula for the entries in a frieze after mutation. The two main ingredients in the proof include a certain transformation of a type $D$ frieze into a sub pattern of a frieze of type $A$ and the mutation formula for type $A$ friezes recently found by Baur et al.