Still lives/Oscillators as equations

A forum where anything goes. Introduce yourselves to other members of the forums, discuss how your name evolves when written out in the Game of Life, or just tell us how you found it. This is the forum for "non-academic" content.
Post Reply
User avatar
Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

Still lives/Oscillators as equations

Post by Saka » August 22nd, 2017, 9:12 am

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:
Attachments
+cell.png
+cell.png (1.81 KiB) Viewed 1907 times

wwei23

Re: Still lives/Oscillators as equations

Post by wwei23 » August 23rd, 2017, 11:57 am

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.

Post Reply