## MultiplyingLabyrinths (Post under Construction)

DONT BE PUT OFF – HURRY down the scroll to the next post!”

Mathematicians will know the rule for multiplying together two complex numbers. If the real part of a number has magnitude a and the imaginary part magnitude b, we can write the number as a + ib, where i is the mysterious but very useful square root of minus one . If you remember those graphs employed to explain school algebra ,you can think of  a + ib as referring to a point on the complex plain with (x,y) coordinates (a,b).

Two complex numbers a + ib  and c + id can be multiplied together to give their product e + if where e = (ac – bd) and f = (ad + bc)

(I’ll insert a diagram and some more text soon after I get back from tonight’s  Buxton

Opera House Christm,as Pantomime. In the mean time there are the two possible ways of constructing the product of Chinese Labyrinths (1,2) and (5,0). If you multiply these numbers together as if they were complex numbers, then you get (5,10) as their product – and this gives you the Supertile size and the repeat unit of the resulting tessellation. Here they are.

A first stab at naming these patterns – MULTICHINS??