# The Wallis Sieve is a variant on the Si

The Wallis Sieve is a variant on the Sierpiński Carpet. It has the remarkable property that the remaining area (in blue) is equal to the unit circle, shown in green.

Blog post about it by +Ed Pegg:

http://community.wolfram.com/groups/-/m/t/822984

We're hosting a workshop to learn about the work of John Wallis. If you're in Cambridge, UK on Sunday 27th November then come along:

http://www.cambridgelovelace.org/

Blog post about it by +Ed Pegg:

http://community.wolfram.com/groups/-/m/t/822984

We're hosting a workshop to learn about the work of John Wallis. If you're in Cambridge, UK on Sunday 27th November then come along:

http://www.cambridgelovelace.org/

The Wallis Sieve is a variant on the Sierpiński Carpet. It has the remarkable property that the remaining area (in blue) is equal to the unit circle, shown in green. Blog post about it by +Ed Pegg: http://community.wolfram.com/groups/-/m/t/822984 We're hosting a workshop to learn about the work of John Wallis. If you're in Cambridge, UK on Sunday 27th November then come along: http://www.cambridgelovelace.org/

Shared with: Public, Ed Pegg, Evelyn Lamb

*This post was originally on Google+*

whythe Wallis Sieve gives the area of a circle are intriguing. +Ed Pegg mentions the connection to Farey sequences and has a picture of Ford circles. I want to believe that somehow we can marshal the square holes to make a pattern like Ford circles and thus obtain a circle in the limit.https://en.wikipedia.org/wiki/Ford_circle