## Things You've Been Doing Other Than CGoL

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.
gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

### Re: Things You've Been Doing Other Than CGoL

muzik wrote:I can't be the only one who finds it weird and confusing that there exists no star polyhedron {5/2,5/2}?

Wikipedia says it counts as a failed star polyhedron, since it doesn't eventually close.
I think I can explain this. It looks like I'm turning into "that one guy who always answers when people have questions about geometry" .

I used to find the nonexistence of {5/2, 5/2} weird and confusing too, but it's really no stranger than the fact that {5/2, 4} doesn't exist. It just appears that it might because all of the subsymmetries implied by the Schlafli symbol (pentagonal and digonal/rectangular) exist as subsymmetries of dodecahedral symmetry.

Any nonconvex uniform polytope that has a kaleidoscopic (Wythoffian) construction--and therefore a Coxeter diagram--and does not overlap itself infinitely, must have a symmetry describable by a convex kaleidoscopic consruction (proof?). This means that nonconvex regular polytopes never "make" their own symmetry, they always follow the symmetries of convex polytopes. In this case, {5/2, 3} and {5/2, 5} both happen to close under the symmetry of {5, 3}, icosahedral symmetry. {5/2, 5/2}, however, does not, and there is no other symmetry that it can close under, as it would need to have a pentagonal subsymmetry. This is also why the only regular hyperbolic star tessellations are {n/2, n} and {n, n/2} for odd n greater than 6, as these are the only kaleidoscopic constructions that lend themselves to regular polytopes and a regular symmetry, namely {n, 3}.

Another way to think of it is that it doesn't exist because its conjugate* would be {5, 5}, which is hyperbolic and obviously doesn't close either.

Finding all the possible Coxeter diagrams that close under a certain symmetry is difficult (for me), but it can be done by realizing that their omnitruncates** are all facetings*** of each other if given the right edge lengths; each ring in the Coxeter diagram represents a different type of edge, and the edges of each type can have their length changed independently of those of any other type.

Dr. Richard Klitzing has a better way to find these, by "adding" the Coxeter diagrams (called Dynkin diagrams on the website), but I can't really understand it. It is described here: https://bendwavy.org/klitzing/explain/schwarz.htm

*A conjugate of a uniform polytope is one that, roughly, can be constructed by taking regular polygonal subsymmetries (usually on the faces or face figures, which are vertices in 3D) and "wrapping" the symmetry a different number of times. For example, the great dodecahedron {5, 5/2} can have its pentagonal faces doubly wrapped into pentagrammic faces and its pentagrammic vertex figures doubly wrapped into pentagonal ones. This produces the small stellated dodecahedron {5/2, 5}, thus the great dodecahedron and small stellated dodecahedron are conjugates. Taking a polytope's conjugate changes the circumradius and coordinates into their algebraic conjugates; numbers that are roots of the same polynomial.

It is also worth noting that the pentagonal faces and the pentagrammic vertices of the great dodecahedron must change together, as they can be "paired up"; each face lies directly under a vertex. On the other hand, in the square tiling {4, 4} (for example), squares and square-symmetry vertices cannot be paired up, meaning that they can be re-wound independently of each other. If the squares and/or vertices get re-wound thrice, it could lead to {4/3, 4}, {4, 4/3}, or {4/3, 4/3}--but these are all also the square tiling, so this creates no new tessellations.

**The omnitruncate of a Coxeter diagram is the shape made when every node in the diagram is ringed.

***Faceting: a polytope which shares the same vertices as another polytope.

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

How would {1,2} and {2,1} look as tesselations of a sphere?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

### Re: Things You've Been Doing Other Than CGoL

muzik wrote:How would {1,2} and {2,1} look as tesselations of a sphere?
https://en.wikipedia.org/wiki/File:Sphe ... hedron.png
https://en.wikipedia.org/wiki/File:Heng ... hedron.png

lifeisawesome
Posts: 86
Joined: April 22nd, 2016, 1:55 pm
Location: poland

### Re: Things You've Been Doing Other Than CGoL

Black MIDIs. The largest one I have made has 5 million notes.

--Szymon Bartosiewicz
favorite pattern:

Code: Select all

``````x = 2, y = 2, rule = B25/S3a
2o\$2o!``````

blah
Posts: 276
Joined: April 9th, 2016, 7:22 pm

### Re: Things You've Been Doing Other Than CGoL

Making a new version of Reasoning Realm.
Attachments
pattern.png (3.78 KiB) Viewed 7543 times
succ

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

trying to finish off that pokemon diamond i got four years ago.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

Currently on the hunt for numerous old Minecraft versions that got gradually lost over the years.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

jimmyChen2013
Posts: 143
Joined: December 11th, 2017, 3:28 am

### Re: Things You've Been Doing Other Than CGoL

muzik wrote:Currently on the hunt for numerous old Minecraft versions that got gradually lost over the years.
How old?
i got a luncher that got all the older versions

Code: Select all

``````x = 343, y = 11, rule = B3-q4ceky5-ekny6cei7e/S2ace34ci5ck6ce78
bo339bo\$o341bo\$3o337b3o6\$3o337b3o\$o341bo\$bo339bo!``````

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

jimmyChen2013 wrote:
muzik wrote:Currently on the hunt for numerous old Minecraft versions that got gradually lost over the years.
How old?
i got a luncher that got all the older versions
What ones exactly?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Saka
Posts: 3556
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Things You've Been Doing Other Than CGoL

I've been growing plants, especially orchids.

Code: Select all

``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)

Cclee
Posts: 56
Joined: October 5th, 2017, 9:51 pm
Location: de internet

### Re: Things You've Been Doing Other Than CGoL

muzik wrote:
jimmyChen2013 wrote:
muzik wrote:Currently on the hunt for numerous old Minecraft versions that got gradually lost over the years.
How old?
i got a luncher that got all the older versions
What ones exactly?
All of them. From the launcher you have to go into launch settings and then select the version from there so you cam create a file for Minecraft from that version then back at the news bar you have to click the arrow select next to launch and click your version file then launch it
^
What ever up there likely useless

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

### Re: Things You've Been Doing Other Than CGoL

Those aren't all the versions tho.

About half the alpha 1.0 versions are still missing

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

Cclee wrote:
muzik wrote:
jimmyChen2013 wrote: How old?
i got a luncher that got all the older versions
What ones exactly?
All of them.
So where are Alpha 1.0.0, 1.0.1, 1.0.2, 1.0.3, 1.0.5, 1.0.6, 1.0.7, 1.0.8, 1.0.9, 1.0.10, 1.0.12, 1.0.13, 1.0.17, 1.1.1, 1.2.1, 1.2.4 and various other versions then?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Cclee
Posts: 56
Joined: October 5th, 2017, 9:51 pm
Location: de internet

### Re: Things You've Been Doing Other Than CGoL

muzik wrote:
Cclee wrote:
muzik wrote: What ones exactly?
All of them.
So where are Alpha 1.0.0, 1.0.1, 1.0.2, 1.0.3, 1.0.5, 1.0.6, 1.0.7, 1.0.8, 1.0.9, 1.0.10, 1.0.12, 1.0.13, 1.0.17, 1.1.1, 1.2.1, 1.2.4 and various other versions then?
There used to be a setting for turning on alpha and even beta versions is that still there?
^
What ever up there likely useless

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

### Re: Things You've Been Doing Other Than CGoL

Yes. But not all the alpha versions are available. Only about half.

And pre-alpha is even worse. There are 0 indev and only 1 infdev version in the launcher.

I think even release 1.5.0 is not in the launcher

fluffykitty
Posts: 653
Joined: June 14th, 2014, 5:03 pm
Contact:

### Re: Things You've Been Doing Other Than CGoL

Also almost no snapshots
I like making rules

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

### Re: Things You've Been Doing Other Than CGoL

Well that's a given. Thou ial am preserving as many as possible 1.13 snaps

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

Majestas32 wrote:Well that's a given. Thou ial am preserving as many as possible 1.13 snaps
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

### Re: Things You've Been Doing Other Than CGoL

For snapshots? Not for past versions like 1.12

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

Majestas32 wrote:For snapshots? Not for past versions like 1.12
...just go to the wiki pages for said snapshots and download the jars?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things You've Been Doing Other Than CGoL

Well here's a complete list of the alpha versions that aren't available:

1.0.0
1.0.1
1.0.2
1.0.2_01
1.0.2_02
1.0.3
1.0.5
1.0.6
1.0.6_01
1.0.6_02*
1.0.6_03
1.0.8
1.0.9
1.0.10
1.0.12
1.0.13
1.0.13_01
1.0.13_02*
1.0.14_01
1.0.16_02
1.0.17
1.0.17_01*
1.0.17_03
1.1.1
1.2.1*
1.2.3_03*
1.2.4*

* No solid proof of existence
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Posts: 1974
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Things You've Been Doing Other Than CGoL

Submitting incorrect answers to Project Euler
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Rhombic
Posts: 1066
Joined: June 1st, 2013, 5:41 pm

### Re: Things You've Been Doing Other Than CGoL

Planning my trip to Prague...
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

wwei23
Posts: 1208
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Things You've Been Doing Other Than CGoL

lifeisawesome wrote:Black MIDIs. The largest one I have made has 5 million notes.