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Universal construction from low density starting conditions

PostPosted: March 8th, 2018, 3:35 pm
by googleplex
I'm working on a proof that this is possible:

Traffic light:
#C Low density TL
x = 5, y = 5, rule = B3/S23
2bobo$o$2bo$o3bo$2bo!


Mango:
#C Low density mango
x = 5, y = 6, rule = B3/S23
b2o$4bo$2bo$$obobo$4bo!


Block:
#C Low density block
x = 4, y = 4, rule = B3/S23
obo$3bo$bo$3bo!


Glider:

#C Low density glider:
x = 5, y = 5, rule = B3/S23
bobo$4bo$obo$2bobo$o!

Re: Universal construction from low density starting conditions

PostPosted: March 8th, 2018, 5:13 pm
by dvgrn
googleplex wrote:I'm working on a proof that this is possible...
#C Low density glider...

Here's another glider predecessor, with slightly lower population and no domino spark:

x = 5, y = 5, rule = B3/S23
bo$4bo$obo$4bo$bobo!

That's all you really need to prove construction universality, isn't it? You can build everything else you need by colliding gliders.