Sierpinski carpet
You are encouraged to solve this task according to the task description, using any language you may know.
Produce an ASCII representation of a Sierpinski carpet of order N. For example, the Sierpinski carpet of order 2 should look like this:
+-------------+-------------+-------------+ |+---+---+---+|+---+---+---+|+---+---+---+| || | | ||| | | ||| | | || |+---+---+---+|+---+---+---+|+---+---+---+| || | | ||| | | ||| | | || |+---+---+---+|+---+---+---+|+---+---+---+| || | | ||| | | ||| | | || |+---+---+---+|+---+---+---+|+---+---+---+| +-------------+-------------+-------------+ |+---+---+---+| |+---+---+---+| || | | || || | | || |+---+---+---+| |+---+---+---+| || | | || || | | || |+---+---+---+| |+---+---+---+| || | | || || | | || |+---+---+---+| |+---+---+---+| +-------------+-------------+-------------+ |+---+---+---+|+---+---+---+|+---+---+---+| || | | ||| | | ||| | | || |+---+---+---+|+---+---+---+|+---+---+---+| || | | ||| | | ||| | | || |+---+---+---+|+---+---+---+|+---+---+---+| || | | ||| | | ||| | | || |+---+---+---+|+---+---+---+|+---+---+---+| +-------------+-------------+-------------+
See also Sierpinski triangle
J
Like the sierpinski triangle, the carpet is easy to produce in J. One way:
(a:(<1;1)}3 3$<)^:2' '
or another:
((#:7 5 7){_2{.<)^:2' '