ConwayLife.com

So is a small stellated dodecahedron to a stella octangula like a pentagram to a hexagram? Not quite. The triangles on the stella octangula don't pair up into hexagrams, and the vertex figure is a triangle whereas the small stellated dodecahedron's vertex figure is a pentagon. I think that the best...

- Could a pentagram be technically seen as a compound of two 2.5-gons in their dual positions? No, because "technically" there is no such thing as a 2.5-gon. The pentagram is called a 5/2-gon, but that's just because its number of sides divided by its density equals 5/2. You could construct somethi...

What I'm doing uses the streams earlier on, so I can't just start them then and there. If this usage of the streams doesn't affect them (keeps them period 30), then there is no reason for the streams to cross at all; new p30 streams can be constructed at a different point, where the original stream...

c/14 diagonal spaceship: x = 7, y = 7, rule = B34-air5/S235c 5bo$6bo$o2b2o$o3bo$o$bo$2b3o! EDIT: I found a soup lasting 54775 generations: x = 16, y = 16, rule = B34-air5/S235c b4o2bo2bo2bo$2o5b2o2b2obo$b2obobo7bo$2ob5o3b5o$3ob2obob2obo2bo$4bob2ob 7o$6bob2o5bo$bobo3b3obobo$obo2bob2o3bo$6o2b2o2bo2bo$...

The removal of zeros makes a difference, as the first and second numbers are strings of survival and birth conditions, and the third is the number of states in the rule. However, Golly cannot support Generations rules with more than 256 states. For this reason I think it is better to have the number...

The digits "3460348610" near the end should go after "4564856692", but otherwise I can't find a mistake. The next digits are "4543266482133936072602419(?)" (I'm not sure about the last digit or two.) I know the first 290ish digits of pi. Most of them I memorized before I turned 13. (It was easier th...

Incidentally, there are events occurring in that pattern at t = O(ˣ2), where x indicates the occurrence number. I think this is a previously-unheard-of rate for anything in cellular automata. Not quite... remember the sawmill ? And even if we restrict ourselves to natural patterns, I discovered som...

Can you please post the pattern here first? Select the pattern in Golly, press Ctrl+C, and put it between "code" tags.

Infinite spaceships that move at C are already known. This one is the simplest:

But if either of the numbers ends in 0, the case degenerates into another case because zeroes at the end of a terminating decimal expansion can be dropped. Furthermore, if the decimal expansion of 1/n consists of an integer beyond the decimal point, 1/(10*n) will have the same integer. If we want a ...

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If the planar tiles that generalized still-life constrains were a Life pattern, I would vote for them too.

Also, I think it should be added to the Caterloopillar description that they can move at any orthogonal rational speed less than but not equal to c/4.

I'd like to see a compound fo two excavated dodecahedra as the duals of each other, so I can actually visualise it. It wouldn't be very impressive, as they would either overlap entirely or one would be hidden inside the other as a smaller version of it. This is because each vertex is along the same...

In the rule B3-kqry4n/S023, the LWSS and HWSS are period 8, and the MWSS is a puffer.
EDIT: The LWSS is a puffer in B3-kqry4n/S01e23:

I was expecting some sort of truncated icosahedron when I clicked that link... Well, the great dodecahedron is topologically self-dual, like the excavated dodecahedron, because its dual (the small stellated dodecahedron) is also its conjugate (shape made by replacing the coordinates of each vertex b...

It's because the equilateral triangles which appear to be the faces actually meet up in sets of three in the center of the figure to make faces shaped like the vertex figure of a ditrigonal dodecadodecahedron: https://upload.wikimedia.org/wikipedia/commons/0/02/Ditrigonal_dodecadodecahedron_vertfig....

The p184 is a real reflectorless rotating oscillator! As far as I know, this is the second time a true one has been found in a 2-state isotropic CA. x = 11, y = 17, rule = B2i3ai47/S23 5b2o$5b2o$8b3o$8bobo$8b3o8$3o$obo$3o$4b2o$4b2o! (EDIT: Actually the third posted on the forums. The first that I ca...

Glider spacer machine For example, feed this to the machine: x = 12, y = 12, rule = B3/S23 10bo$10b2o$9bobo4$4b3o$6bo$5bo$2o$b2o$o! To turn it into this: x = 11, y = 11, rule = B3/S23 8b3o$10bo$9bo2$4b3o$6bo$5bo2$3o$2bo$bo! There is something called a regulator , which takes gliders in arbitrary po...

drc wrote:I think jslife should be included with golly

It is, in the Online Archives. Actually packaging all the files with Golly would be too much, in my opinion.

My ongoing methuselah search found a 71 generation predecessor of Lidka : It has a population of 13 cells in a 9-by-6 bounding box and lasts for 29126 generations. Lidka has a population of 13 cells in a 15-by-9 bounding box and lasts for 29055 generation. x = 9, y = 6, rule = LifeHistory 6.A$6.3A2...

Thanks! I hope that I discover many more patterns as an adult!

I just updated my script to clear the canvas before placing the pattern.

I just made a script that attempts to construct one for any polynomial, as long as the values, and all levels of their differences down to constant differences, are increasing: import golly as g from fractions import Fraction #maincomp = g.parse('261bo$173bo83b4ob2o5b3o$172b2o82b2ob3ob2o4b3o$171bob2...

When, if ever, will the features of the viewer on the forum (the new themes, support for non-totalistic and multistate rules and bounded grids, a universe larger than 512 by 512, and ability to zoom out farther than one cell per pixel) or most of the new shortcuts be implemented into the original Li...

I didn't even think hauls containing less than 10000 soups or 250000 objects could be submitted! But maybe that's only for hauls submitted by apgsearch v1 or less. I don't understand why the hauls would be filtered out like this, but it's the only thing I can think of.

I have constructed a device that takes in a stream of gliders, emitted (or at least passing by a given point) at generations x0, x1, x2, x3... and returns a stream of gliders at positions n, n + x0, n + x0 + x1, n + x0 + x1 + x2... The values x0, x1... must be multiples of 960. Part of this is due t...

My first post contained this engineered oscillator: x = 703, y = 638, rule = B3/S23 686b2o$686bo$684bobo$684b2o6$685b2o$679b2o4b2o$679b2o4$680b2o$680b2o2b 2o$684bobo$672b2o12bo$672bobo11b2o$674bo$666bo7b2o$665b3o$664b2obo$ 667b2o$667b2o$667b2o3b2o$664bo7bobo$664b2o8bo$665bobo6b2o$665bo2bo$ 666b2o$66...