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Rhombicubocta

A constellation of still life that will reflect a glider and use universal construction to make a copy of the constellation displaced by an adjustable offset somewhere else and destroy the original constellation. So a one time reflector that after reflecting is displaced by a preprogramed in amount.

Rhombicubocta

The natural oblique ship is almost extendable. It just needs one block per engine suppressed for the engines in the not on the ends of the ship.

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x = 65, y = 41, rule = B38/S23
5$42b2o$42b2o2$48bob2o$47bo2bo$47bo4$22b2o$22b2o2$28bob2o$27bo2bo$27bo
4$2b2o$2b2o54b2o$58bobo$8bob2o47bo$7bo2bo$7bo!

Rhombicubocta

Two banana sparks form a glider, but the positioning makes it useless for guns.
x = 4, y = 6, rule = B3/S23
3bo$2bo$2bo$o$o$bo!

edit: Weird vanishing b-heptomino that gets destroyed from behind.
x = 17, y = 18, rule = B3/S23
10bo$9b3o$8b2obo4$8b2ob2o$10bo3$4b3obo$8b2o$8bo!

edit 2 ...

Rhombicubocta

...

I don't think there really is a good way to represent all rules on a graph, though.

I disagree that there is not a good way to represent all rules on a graph. There is an almost periodic nature of the temperature and density by the rule integer and since the rule integer in base 2 tells you ...

Rhombicubocta

If it's more line-like, maybe it could be called "Velvet Worm" or "Onychophoran" or something

Seeing Gustone designed it. He had naming rights. Presumably file says Stentor because that is what he chose to name it.
Considering Waterbear is microbe I suspect he named it after the ciliate known ...

Rhombicubocta

For the list of oscillator with subperiod combination page.
Prime periods Table:
Add a section noting all strict volatility above 949 are possible via Glider_rider's program.
Four Divisor table:
44p10 works for 1,q2,p for period 10.
Six divisor table:
Period 18 is missing, please add it back ...

Rhombicubocta

The list of oscillators with subperiod combinations page on the wiki is a good source expanation subperiod combinations. I conjecture that all sub-period combinations are possible. It is a large undertaking to prove and may like proving life omniperiodic will take a long time. Here is a start though ...

Rhombicubocta

...

Can this be turned into a stable switch engine to glider?

Here is the first thing that worked (bad RT):
x = 84, y = 124, rule = B3/S23
33b2o$33bobo$35bo4b2o$31b4ob2o2bo2bo$31bo2bobobobob2o$34bobobobo$35b2o
bobo$39bo2$25b2o$26bo7b2o$26bobo5b2o$27b2o2$34bo$33bobo$35bo3$37b2o ...

Rhombicubocta

tile5-4.png tile5-4.png
Here is a proposal for the naming of directions in hyperbolic grids.

Let M be the number of sides of the polygons tiling the hyperbolic plane.
The idea is labeling cells via N-ary tree staring from the origin where N is chose so that at least 1/2M of the hyperbolic plane ...

Rhombicubocta

https://catagolue.hatsya.com/object/xq10_11dqcsa/b34678s0567
DroneBetter's (1,1)c/10 from catagolue never made it into the collection.
I would put it in the format, but I am not sure when DroneBetter discovered it.
At least I think DroneBetter discovered it.
edit 1:
Another natural glider on ...

Rhombicubocta

edit 2:
Single switch engine swimmerlane bait using just a block. That destroys the block and makes a block.
x = 121, y = 91, rule = B3/S23
16$63b2o$63bobo$64bo4$87b2o$87b2o$55b2o$55bobo$56bo6$47b2o$47bobo$48bo
3$77bo$76bobo$77b2o$39b2o$39bobo$40bo3$69bo$68bobo$69b2o$31b2o$31bobo$
32bo$41bo ...

Rhombicubocta

This pattern is like bosco, but it leaves large blocks behind.
I was not sure where to post this since it is not technically larger than life.

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x = 31, y = 19, rule = R5,C0,S33-57,86,B34-45
2$12bo$10b5o$8b5ob2o$7b5o3b2o$7b4o5bo$6b4o5b3o$7b4o3b3o$7b5ob4o$8b8o$
9b7o$10b5o!

Rhombicubocta

What???
New 5S: (176,3)c/16914
x = 0, y = 0, rule = B3aeiq4cqtz5j7e8/S2-ci3-aeky4ei5aeinr6-ik7e8
13bo$4bo7b3o$3b3o5bo$2b2o2bo4b2o2bo$3b2ob2o4bob2o$5b2o3$13bo$12b3o6b2o$2o10bob2o6b2o$o2bo6b2o2bo6b2o$bobo5b2o10bo$3bo6bo2$15bo$16b2o$14b3o$15bo!
NEW 5S:(165,134)c/44218
The current 3rd largest ...

Rhombicubocta

Finally found a method that could allow a signal out of switch engine channel.
All that's left is to delete the beacon and reconstruct the block!

Using to switch-engines in a wave going through a double wide swimmers lane allows the switch engines to come make it farther out of the swimmers lane ...

Rhombicubocta

The p137 from catagolue can be broken into parts. I think that weird pi-shaped nonomino could be useful as a signal for conduits.
We already can convert to it and back from the x via parts from the p137 oscillator.
x = 83, y = 27, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
57.A17.A$56.A ...

Rhombicubocta

This HROT rule might be explosive, but I can't tell due to the size of most pattern that don't die off relatively quickly.
Most soups less than 300 by 300 seem to be die-hards. Huge soups look like they explode sometimes, however some explosions start to die out and are die-hards in disguise. Here ...

Rhombicubocta

This HROT rule might be explosive, but I can't tell due to the size of most pattern that don't die off relatively quickly.
Most soups less than 300 by 300 seem to be die-hards. Huge soups look like they explode sometimes, however some explosions start to die out and are die-hards in disguise. Here ...

Rhombicubocta

Since the glider producing switch engine makes glider by producing Herschels, you can extract signals from it with known conduits.
If someone suppress the debris on the other side we will have a switch engine to switch engine and a Herschel. If we have to we could try to add it to part of a switch ...

Rhombicubocta

A non-explosive B2a rule I found now:

x = 0, y = 0, rule = B2ae4e5n/S1e3c
!
[[ RANDOMIZE ]]

It has a somewhat common c/8d omnirake which can probably be corderized:

x = 3, y = 4, rule = B2ae4e5n/S1e3c
bo$2bo$2bo$2o!

Disappointingly it still can explode.
x = 9, y = 9, rule = B2ae4e5n ...

Rhombicubocta

A 4-cell sierpinski generator

Code: Select all

x = 4, y = 2, rule = B2a3n/S
ob2o$o!

edit:
3-cell sierpinski generator

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x = 3, y = 2, rule = B2a3r/S0
o$obo!

I think that is probably the smallest possible for an Isotropic rule.

Rhombicubocta

Weird pattern that is both a wave-strecher and replicator.

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x = 1, y = 1, rule = B1e2e/S
o!

Is there a name for this?

Rhombicubocta

After about 300 generations you can start to see a tower of concentric overlapping rectangles.

Code: Select all

x = 12, y = 3, rule = B1e/S12i
bo8bo$obo6bobo$bo8bo!

edit: The pattern is created through interacting replicators and wick stretchers.

Rhombicubocta

Are rules like B1e/S123i where every pattern grows, but without quadratic growth apgsearchable?
There are wickstretchers.

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x = 2, y = 1, rule = B1e/S123i
2o!

There is also this 1D replicator that require wicks for support.

Code: Select all

x = 2, y = 5, rule = B1e/S123i
2o2$bo2$2o!

Rhombicubocta

It would be nice if we kept track by the 1d rule instead of the number of copies the replicator produces.
edit: Muzik you are missing some replicators you yourself found.

x = 7, y = 7, rule = B3578/S23
3o$obo2bo$3o2$4b3o$4bobo$4b3o!

...

Proof of parity
x = 41, y = 35, rule = B3578/S23
3 ...

Rhombicubocta

NNlk05 wrote: July 1st, 2026, 7:32 pm
https://www.muye.dev wrote: July 1st, 2026, 7:12 pm are there spaceships/peroid 3 oscillator in B345678/S
It should be possible.

I can't find anything but p2 oscillators.
All patterns I have tried either die or become p2.
Are there any other periods know in B345678/S?
Is there someway to prove every pattern in this rule is p2?

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Re: Construction Challenges and Ideas

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Proving Life "Omni-subperiodic"

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