And now introducing… Life Letters!

## Archive for the restricted patterns Category

## Life Digits (2)

Posted in restricted patterns on July 9, 2009 by DIVVS·IVLIVSUsing the standard ‘life digits‘ these are the smallest numbers that can produce infinite growth for each base from 2 to 10:

Base 02: 16-digits: 0011001000100011

Base 03: 11-digits: 21011121122

Base 04: 10-digits: 0023321310

Base 05: 08-digits: 40101123

Base 06: 07-digits: 0253033

Base 07: 07-digits: 0051165

Base 08: 07-digits: 140732

Base 09: 07-digits: 140732

Base 10: 06-digits: 140732

Surprise! Dean Hickerson thought that the smallest number that produces infinite population growth was 154299. 😉

## Life Digits (1)

Posted in life digits, restricted patterns on June 25, 2009 by DIVVS·IVLIVS“Using the standard ‘life digits‘ what is the smallest number base that can produce infinite growth?”

asks *knightlife *in a post at ConwayLife.com.

As always, a quick modification of my script in Perl for Golly, wait 7 minutes and… profit.

The string in question is **0011001000100011** and has 16 *“*bits*“*.

Pattern (RLE)

#CXRLE Pos=0,0 x = 51, y = 5, rule = B3/S23 3ob3obobob3ob3obob3ob3ob3obob3ob3ob3obobo$obobobobobobobobobobobobobob obobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobob obobo$obobobobobobobobobobobobobobobobobobobobobobobobobo$3ob3obobob3o b3obob3ob3ob3obob3ob3ob3obobo!

It produces two block-laying switch engines, and achieves stability at generation 1507:

And also, happy birthday to me!