#203 Multiple magic
Set by Howard Williams
This magic square has been known since ancient times. Each row, column and diagonal of three numbers adds to the same magic constant, 15.
There is, however, a different type of 3脳3 magic square, in which every row, column and diagonal can be multiplied together to produce the same number. There are plenty of ways to do this, but if every number in the square has to be a different, positive whole number, then the smallest example has a magic constant of 4096.
Which numbers go where in the square?
Solution next week
#202 The dating game
Solution
22梅(9+鈭�(鈭�16)) = 2
鈭�(22-9-鈭�16) = 3
22-(9脳鈭�(鈭�16)) = 4
鈭�(22+鈭�(鈭�(9^鈭�(鈭�16)))) = 5
(22-鈭�16)梅鈭�9 = 6
鈭�(22+鈭�9)+鈭�(鈭�16) = 7
(22+鈭�(鈭�16))梅鈭�9 = 8
22-9-鈭�16 = 9
鈭�(22+鈭�9)脳鈭�(鈭�16) = 10
Quick quiz #183
set by Bethan Ackerley
1 Which of these dinosaurs wasn鈥檛 a theropod: Tyrannosaurus, Giganotosaurus or Argentinosaurus?
2 Arrector pili muscles are attached to which structures in the body?
3 An exceptionally bright meteor that explodes in the atmosphere before reaching the ground is known as what?
4 Which British chemist discovered the element thallium?
5 In what year was the Watt steam engine first introduced?
Quick quiz #183
Answers
1 Argentinosaurus, which was a sauropod
2 Hair follicles. Their contraction causes goose bumps
3 A bolide
4 William Crookes
5 1776