WOLFRAM|DEMONSTRATIONS PROJECT

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.