Infinite growth 7-segment integers (variable width)
Posted: January 29th, 2019, 3:46 pm
dvgrn pointed out that my 7-segment display characters were using fixed width, causing 1 to be spaced farther from other digits than needed. That was intentional, since it's how old 7-segment displays really work, but I adapted the code to get integers with compressed spacing and ran them for infinite growth up to a million. At least two of these are known. 154299 due to Dean Hickerson, and 140732 (infinitegrowth wordpress blog, author unknown). 832021 and its mirror image 835051 both produce infinite gliders.
140732
154299
367021
601986
832021
835051
979374
986109
I also tried padding with leading zeros and that does not produce additional infinite growth patterns.
140732
Code: Select all
x = 21, y = 5, rule = B3/S23
obobob3ob3ob3ob3o$obobobobo3bo3bo3bo$ob3obobo3bob3ob3o$o3bobobo3bo3bobo$o3bob3o3bob3ob3o!
Code: Select all
x = 21, y = 5, rule = B3/S23
ob3obobob3ob3ob3o$obo3bobo3bobobobobo$ob3ob3ob3ob3ob3o$o3bo3bobo5bo3bo$ob3o3bob3ob3ob3o!
Code: Select all
x = 21, y = 5, rule = B3/S23
3ob3ob3ob3ob3obo$2bobo5bobobo3bobo$3ob3o3bobobob3obo$2bobobo3bobobobo3bo$3ob3o3bob3ob3obo!
Code: Select all
x = 21, y = 5, rule = B3/S23
3ob3obob3ob3ob3o$o3bobobobobobobobo$3obobobob3ob3ob3o$obobobobo3bobobobobo$3ob3obob3ob3ob3o!
Code: Select all
x = 21, y = 5, rule = B3/S23
3ob3ob3ob3ob3obo$obo3bo3bobobo3bobo$3ob3ob3obobob3obo$obo3bobo3bobobo3bo$3ob3ob3ob3ob3obo!
Code: Select all
x = 21, y = 5, rule = B3/S23
3ob3ob3ob3ob3obo$obo3bobo3bobobo3bo$3ob3ob3obobob3obo$obo3bo3bobobo3bobo$3ob3ob3ob3ob3obo!
Code: Select all
x = 23, y = 5, rule = B3/S23
3ob3ob3ob3ob3obobo$obo3bobobo3bo3bobobo$3o3bob3ob3o3bob3o$2bo3bo3bo3bo3bo3bo$3o3bob3ob3o3bo3bo!
Code: Select all
x = 21, y = 5, rule = B3/S23
3ob3ob3obob3ob3o$obobobobo3bobobobobo$3ob3ob3obobobob3o$2bobobobobobobobo3bo$3ob3ob3obob3ob3o!