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Still lives/Oscillators as equations
Posted: August 22nd, 2017, 9:12 am
by Saka
wwei23 has been doing something like this and gave me the idea to start this, so, I'd never thought I'd say it...
T- T- T- *breathes* Tha- Th- Th- Tha- *deep breath* Thaaaa- aa- a- aa- *very deep breath* -anks
For example:
(Table*3)+((Table*-1)^(Table^Eater 1))+(Bun~3)+(Table^Carrier)=
Code: Select all
x = 14, y = 13, rule = B3/S23
3b2o$3bo$2obo$bob2ob2o$bo2bobobob2o$2o2bobobobo$bob2obobobo$bo2bobobob
2o$2o2bobobobo2bo$bob2o2bo4b2o$bo2bo$2o2bobo$5b2o!
Basically:
() for each "Component"
* for extension of component, -1 for flip (relative to the "majority")
+ for placing component side-by-side
^ for siamese/merge
You may also have noticed ~, it means extension by cells, not by replicating and joining it. We need a new symbol, any designs? My ideas so far:
Re: Still lives/Oscillators as equations
Posted: August 23rd, 2017, 11:57 am
by wwei23
I would call it a (Table siamese table siamese table siamese table) on (Table siamese flip table siamese flip table siamese eater 1[Note that I said eater 1 and not flip eater 1. Why? Go to note 1 and see for yourself.]) on (Long long long R-bee) on (Table siamese parallel aircraft carrier[Note 2])
Note 1: If it were not flip, this would happen:
Code: Select all
#C Table siamese table added for compactness.
x = 8, y = 13, rule = LifeHistory
3.2A$3.A$2A.A$.A.2A.2E$.A2.A.E$2A2.A.E$.A.2A.2E$.A2.A.E$2A2.A.E$.A.2A
.2E$.A.A$2A.A$.2A!
Note 2:
A line parallel to the Table part can be traced between it and the Pre-block part:
Code: Select all
x = 41, y = 80, rule = BS012345678History
2B18.2D$2B18.2D$2B18.2D$2B18.2D$2B18.2D$2B18.2D$2B18.2D$2B18.2D$2B18.
2D$2B18.2D$B20AD$B20AD$B20AD$B20AD$B20AD$B20AD$B20AD$B20AD$B20AD$B20A
D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A
9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B
10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B10A9.2D$B20AD$B20AD$B20AD$B20AD$B
20AD$B20AD$B20AD$B20AD$B20AD$B20AD$B10A9.2D9.10A$B10A9.2D9.10A$B10A9.
2D9.10A$B10A9.2D9.10A$B10A4.5E2D9.10A$B10A4.E4.2D9.10A$B10A4.E4.2D9.
10A$B10A4.E4.2D9.10A$B10A4.E4.2D9.10A$B10A9E2D9.10A$2B18ED20A$2B4.E8.
E4.D20A$2B4.E8.E4.D20A$2B4.E8.E4.D20A$2B4.E8.E4.D20A$2B5E8.5ED20A$2B
18.D20A$2B18.D20A$2B18.D20A$2B18.D20A$20.2D$20.2D$20.2D$20.2D$20.2D$
20.2D$20.2D$20.2D$20.2D$20.2D!
Whereas here it's perpendicular:
Code: Select all
x = 50, y = 80, rule = BS012345678History
9.2B$9.2B$9.2B$9.2B$9.2B$9.2B$9.2B$9.2B$9.2B$9.2B$9.B20A$9.B20A$9.B
20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B10A$9.B10A$9.
B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$
9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B10A$9.B20A$9.B20A
$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B20A$9.B10A$9.B
10A$9.B10A$9.B10A$4.5EB10A$4.E4.B10A$4.E4.B10A$4.E4.B10A$4.E4.B10A$9D
C10A30D$9D2C19D10A10D$4.E4.2B4.E14.10A$4.E4.2B4.E14.10A$4.E4.2B4.E14.
10A$4.E4.2B4.E14.10A$4.5E2B5E14.10A$9.2B19.10A$9.2B19.10A$9.2B19.10A$
9.2B19.10A$20.20A$20.20A$20.20A$20.20A$20.20A$20.20A$20.20A$20.20A$
20.20A$20.20A!
The point is, Saka's idea is much more compact.