In the Frame

TL;DR

This paper surveys the early history and construction techniques of Room frames and Kirkman frames, discussing their development, related types, and applications in design theory.

Contribution

It provides a comprehensive overview of the foundational methods and historical context of Room and Kirkman frames, highlighting their significance in combinatorial design.

Findings

Historical development of Room and Kirkman frames

Basic construction techniques detailed

Connections to other design types and applications

Abstract

In this expository paper, I survey Room frames and Kirkman frames, concentrating on the early history of these objects. I mainly look at the basic construction techniques, but I also provide some historical remarks and discussion. I also briefly discuss some other types of frames that have been investigated as well as some applications of frames to the construction of other types of designs.