Tiling a Room Irrationally

irrational



ϕ

π

K



A

C

2

3

log(2)

log(3)

height

17.5

width

29.5

Numbers can be well approximated by numbers of the form

a+bx

, where

a

and

b

are integers and

x

is irrational. This property can be used to tile a room almost perfectly, with just three tile sizes, and with no need to cut any tiles.