APPENDIX4. ‘Naming the Day’ The twin facts that every week has seven days and that every year (other than leap years) has a fixed cycle of 365 days enable us, by making allowance for the leap years inter- vening, to relate any two days in time by a set formula. Examples of the fixed relationship between the days of any two weeks may be seen on any calendar in any month, thus: MR W B R il b TR S 9 8 G 30 eR Ra e e PRI R R e R QE 0SB TeR e e el 29 3 31 — — — If a rectangle be drawn anywhere on the calendar, so as to enclose some of the numbers but excluding the blank spaces, then the numbers at the opposite ends of one diagonal when added together will be equivalent to the total of the two end numbers on the other diagonal. Thus, from the above example: 5+27= 6426 and 15+431=17-+29 If the rectangle is a square, then the same total is also pro- vided by the top and bottom numbers in the centre column and also by the first and last numbers in the centre row. Thus, 15+31=17-+29 =16430 =22424 A square of this type is an incomplete magic square and the reasons why such a pattern results is simply explained. Every 169