"Extensible" induction coils of arbitrary length?

[Silty]

Is there a collection of induction coils of arbitrary length somewhere? For example, I found these: http://argentum.freeserve.co.uk/dense.htm

I also made another kind of coil myself, but they are so simple that someone else probably found them, so if someone would tell me what they are called, I would appreciate it.

These coils are based on connecting an arbitrary number of tables in long succession, so you can get any coil the length of 4+3N, where N is a non-negative integer. You can alter one of their ends to make it 5+3N, or alter both ends to make it 6+3N. I've attached an image of a couple long table coils; both have with one of their ends altered.

Does anyone have any more extensible coils to share?

[Tropylium]

Extensible coils are not very hard to create at all. The simplest example might be long tables/hooks/docks/etc. with still lifes or preblocks on one side as secondary induction coils.

Code: Select all

x = 27, y = 26, rule = B3/S23
$5b2o11b2ob2o2b2o$b2o2b2o11b2ob2o2bo$bo7bo5bo10bo$2b8o5b11o2$2b10o5b7o
$2bo8bo4bo7bo$5b2obo7b2o2bo2b2o$5bob2o10bobo$20bo4$3b2o2b2o$4bo2b2o2b
2obo$2bo8bob2o$2b9o2$13o$o11bo$3bo2bob2o$3b4obobo$9bo$3b2o$3b2o!

Or we can get artsier:

Code: Select all

x = 36, y = 22, rule = B3/S23
9bo16bo$9b3o12b3o$12bo10bo$4b2ob4obo10bob4ob2o$5bobo2bob2o8b2obo2bobo$
5bobo2bo14bo2bobo$4b2ob4o14b4ob2o$bo11bo2bo2bo2bo11bo$b34o2$b34o$o3bo
6bo12bo6bo3bo$2o4b3o5b2ob2ob2o5b3o4b2o$5b2o2bo4b2ob2ob2o4bo2b2o$9bo16b
o$8b2obo2b8o2bob2o$7bo2b5o6b5o2bo$8bo8b2o8bo$9b4o3bo2bo3b4o$12bo4b2o4b
o$11bo12bo$11b2o10b2o!

Of course, locally an indiction coil must indeed look like either like a long table (a single line of cells), or a series of siamese tables (a line of cells with "studs" on one side).

Code: Select all

x = 32, y = 10, rule = B3/S23
3b2obo3b2o$3bob2o3bo5b2o$11b3obobo3bo$4b3o6bobo4bobo4b2o$5bo9b2o4bo5b
2o$o2bo3bo2bo2bo4bo5bo6bo$32o2$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o!

[Silty]

Thanks, those examples made it a lot easier to understand how to stabilize patterns! I looked for this stuff in the wiki, but I guess it was just too simple to put in there..

[Kasuha]

For minimalistic approach here's the start of the sequence:

Code: Select all

x = 103, y = 7, rule = B3/S23
9b2o5b2o18b2o8b2o24b2o11b2o$9bo6bo19bo9bo25bo12bo$o2bo2bo3bo2bo4bo2bo
2bo2bo2bo2bo3bo2bo2bo4bo2bo2bo2bo2bo2bo2bo2bo3bo2bo2bo2bo4bo2bo2bo2bo
2bo2bo$4o2b5o2b6o2b7o2b8o2b9o2b10o2b11o2b12o2b13o2$2b2o2b2ob2o4b2o6b2o
b2o4b4o6b2ob2o6b2o2b2o6b4ob2o6b4o2b2o6b4ob4o$2b2o2b2ob2o4b2o6b2ob2o4bo
2bo6b2ob2o6b2o2b2o6bo2bob2o6bo2bo2b2o6bo2bobo2bo!