A Room Design of Order 10
Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 377-378
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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.
Weisner, Louis. A Room Design of Order 10. Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 377-378. doi: 10.4153/CMB-1964-035-4
@article{10_4153_CMB_1964_035_4,
author = {Weisner, Louis},
title = {A {Room} {Design} of {Order} 10},
journal = {Canadian mathematical bulletin},
pages = {377--378},
year = {1964},
volume = {7},
number = {3},
doi = {10.4153/CMB-1964-035-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-035-4/}
}
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