A Room Design of Order 10
- 1 September 1964
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 7 (3) , 377-378
- https://doi.org/10.4153/cmb-1964-035-4
Abstract
A Room design of order 2n, where n is a positive integer, is an arrangement of 2n objects in a square of side 2n - 1, so that each of the (2n - 1)2 cells of the array is either empty or contains just two distinct objects; each of the 2n objects occurs just once in each row and in each column; and each (unordered) pair of objects occurs in just one cell.Keywords
This publication has 3 references indexed in Scilit:
- A combinatorial problem of T. G. RoomMathematika, 1960
- A Construction for Room's Squares and an Application in Experimental DesignThe Annals of Mathematical Statistics, 1958
- 2569. A new type of magic squareThe Mathematical Gazette, 1955