Simple perfect squared squares and $2\times 1$ squared rectangles of order $25$

Simple perfect squared squares and 2 * 1 squared rectangles of order 26

In this note tables of all simple perfect squared squares and simple 2 × 1 perfect squared rectangles of order 26 are presented.

Simple Perfect Squared Squares and 2 × 1 Squared Rectangles of Orders 21 to 24

Simple perfect squared square of lowest order

This note is to report the existence of a simple perfect dissection of a square into 21 unequal squares.

A pr 1 99 9 Freeness Conditions for Crossed Squares and Squared Complexes

Following Ellis, [9], we investigate the notion of totally free crossed square and related squared complexes. It is shown how to interpret the information in a free simplicial group given with a choice of CW-basis, interms of the data for a totally free crossed square. Results of Ellis then apply to give a description in terms of tensor products of crossed modules. The paper ends with a purely ...

Vertex-Transitive Graphs Of Prime-Squared Order Are Hamilton-Decomposable

We prove that all connected vertex-transitive graphs of order p, p a prime, can be decomposed into Hamilton cycles.