ConwayLife.com

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But why I call them eigen character,because among nearly 200,000 characters in the world alphabets,these characters are too much special,
They are related to land shape, and as we know, every continent is moving a little bit every year,but even after several millions years,the land shape won ...

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Until now,this forum ignores some results of stable ash, which reveal the ways how people created language characters.
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From your previous posts, it seems like you are under the impression that these patterns evolving through an arbitrary ruleset and outputting something that looks ...

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I think the glider must do not touch the bounding diamond.
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Close but no cigar.
A glider would be considered “escaped” If it were outside the bounding diamond, facing in such a way that it were moving away from the bounding diamond both vertically and horizontally, and had sufficient ...

Here is a suggestion. It is probably clunky and can be improved:
Each period of the oscillator is composed of various polyplets. If, at any point in the evolution of the oscillator, any individual polyplet or group of polyplets can be removed from the oscillator and the tampered-with pattern evolves ...

You can use Catagolue's object page to find if two patterns are interacting or not. If they are interacting, then its one object.


Catagolue is not fool-proof. Go to say D2_+2 and xp15. There’ll be a lot of bi-pentadecathons, but a lot of them simply don’t interact, however their envelopes do ...

In the previous discussion of oscillators, a notion happened upon me: in many oscillators, if you track a specific ant’s movement in some oscillators, it will not return to its original cell in its original orientation after a period has elapsed. Instead, It will have taken another ant’s place, and ...

I am mostly sure about this discovery, but I am a little unsure due to how simple and astonishing it is. I have done a few forums searches to verify that this is original.
90° color-changing glider reflecting reaction with only a block and a glider
x = 9, y = 7, rule = B3/S23
b2o$obo4b2o$2bo4b2o2 ...

Fast component that is probably not very useful. Could possibly be used to reduce cost of xs35_rhe0eigxgie0ehrzy3343.

I would like a trusted flag. My current motivation is to correct minor factual inaccuracies, like the apgcode wiki article stating that the fourth term in linear growth apgcodes is unknown (despite the fact that it is explained in the same exact article under the next level 2 header), and to correct ...

A spaceship would maintain temporary speed of light for n generations if its leading edge consecutively advances one cell in its direction of travel over said number of generations. If the pre-traffic lights are ignored, the weekender could be considered to travel at a temporary speed of light for 2 ...

In Langston's ants oscillators with large periods are easier to find than small periods.
What is the lowest period possible?
The lowest I have found is a p16.

x = 4, y = 3, rule = Langtons-Ant
2.BF!

edit:
On an unrelated note here is catalysis where the spirals shape is changed
x = 26, y ...

Why does the number of rules in the Catagolue INT rule table occasionally decrease? A few weeks ago, there were exactly 14,000 apgsearched INT rules, but today, there are only 13,836.

I don’t know, but you could probably sift through or query the rules that are present on the June 27th, 2026 ...

Why does the number of rules in the Catagolue INT rule table occasionally decrease? A few weeks ago, there were exactly 14,000 apgsearched INT rules, but today, there are only 13,836.

I don’t know, but you could probably sift through or query the rules that are present on the June 27th, 2026 ...

The number of occurences on the first item of https://catagolue.hatsya.com/census/b3s ... oups/yl288 is linked.

8c/10 Double-blinker fuse
x = 29, y = 78, rule = B3/S23
16bo$13bo2bo$14b3o3$14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o$bo$2bo$3o$
14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o4$
14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o4$14b3ob3o4$14b2o3b2o$12bo2bo3b
o2bo$7b2o6bo3bo6b2o ...

“Recyclable” Highway
Creation:
x = 84, y = 81, rule = Langtons-Ants
78.2A$77.6A$76.A.3AEA$75.2A.3A.A$74.A.A.A2.3A$73.2A2.A.5A$72.A.A2.3A
2.A$71.2A2.A3.3A$70.A.A2.3A2.A$69.2A2.A3.3A$68.A.A2.3A2.A$67.2A2.A3.
3A$66.A.A2.3A2.A$65.2A2.A3.3A$64.A.A2.3A2.A$63.2A2.A3.3A$62.A.A2.3A2.
A$61.2A2.A3.3A$60.A.A2 ...

I created a version of Langton’s Ant where ants cannot destroy each other by occupying the same cell. I did this because in the version of Langton’s Ant that is currently used, there are only 9 states, which can only deal with 1 ant being on each cell. This results in ants that are moving onto the ...