Things You've Been Doing Other Than CGoL
Re: Things You've Been Doing Other Than CGoL
4 and 25 then, or 8 and 125, or 40 and 25, the list goes on.
Creator of multiple rules that may or may not be what you'd expect
 gameoflifeboy
 Posts: 474
 Joined: January 15th, 2015, 2:08 am
Re: Things You've Been Doing Other Than CGoL
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 onetoone (and selfinverse) correspondence between integers and the integer in the decimal expansion of their reciprocals, we need to drop anything divisible by 10. This leaves only the powers of 2 and the powers of 5.
If a natural number has only 2 and 5 as prime factors, its reciprocal has a decimal expansion that ends after a finite number of digits. If it is divisible by 2 or 5 but has other prime factors too, its reciprocal consists of nonrepeating digits followed by repeating digits. Otherwise, its reciprocal consists only of repeating digits.
If a natural number has only 2 and 5 as prime factors, its reciprocal has a decimal expansion that ends after a finite number of digits. If it is divisible by 2 or 5 but has other prime factors too, its reciprocal consists of nonrepeating digits followed by repeating digits. Otherwise, its reciprocal consists only of repeating digits.
Re: Things You've Been Doing Other Than CGoL
Reddit's /r/place thing is kinda fun.
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Things You've Been Doing Other Than CGoL
For giggles, I'm going to try to put a glider with its upper left corner at (255, 866) like so. Others are welcome to help if they have an account and care. Use the lighter shade of gray for the gridlines, white for blank cells, and black for the glider itself.muzik wrote:Reddit's /r/place thing is kinda fun.
Code: Select all
x = 10, y = 10, rule = LifeHistory
10F$F2CF2.F2CF$F2CF2.F2CF$10F$F2CF2CF2.F$F2CF2CF2.F$10F$F2.F2.F2.F$F
2.F2.F2.F$10F!
Tanner Jacobi
Re: Things You've Been Doing Other Than CGoL
It's over....
All hail the Green Lattice.
All hail the Green Lattice.
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
 Mr. Missed Her
 Posts: 90
 Joined: December 7th, 2016, 12:27 pm
 Location: Somewhere within [time in years since this was entered] lightyears of you.
Re: Things You've Been Doing Other Than CGoL
Vandalizing a Wikipedia article
There is life on Mars. We put it there with notcompletelysterilized rovers.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.
 gameoflifemaniac
 Posts: 852
 Joined: January 22nd, 2017, 11:17 am
 Location: There too
Re: Things You've Been Doing Other Than CGoL
I'm memorizing pi. Here are 270 digits from memory. Quote this when I've made a mistake.
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
4428810975665933446128475648233786783165271201909134603486104564856692...
How many digits can you do?
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
4428810975665933446128475648233786783165271201909134603486104564856692...
How many digits can you do?
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
One big dirty Oro. Yeeeeeeeeee...
 gameoflifeboy
 Posts: 474
 Joined: January 15th, 2015, 2:08 am
Re: Things You've Been Doing Other Than CGoL
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 then.) I can also whistle them as notes, where 0 is a rest, and 1 through 9 are the notes on a major scale, starting with the tonic and going up to the 2nd one octave higher.
I know the first 290ish digits of pi. Most of them I memorized before I turned 13. (It was easier then.) I can also whistle them as notes, where 0 is a rest, and 1 through 9 are the notes on a major scale, starting with the tonic and going up to the 2nd one octave higher.
Re: Things You've Been Doing Other Than CGoL
I never got all that much further than that. I started working on it because of a goal that Douglas Hofstadter mentioned somewhere or other, of getting to the "999999" somewhere in the high hundreds. It still doesn't seem impossible, but other goals are apparently more important...!drc wrote:I can do 70.
My high point for pi was somewhere around 150, a decade ago  I recognize "812848111" but everything beyond looks unfamiliar. At the moment the uncertainty sets in around digit #125. But I've recited the first hundred often enough that I'll probably never forget them.
I've always found rhyming text  or at least metered text, like Shakespearean blank verse or James Thurber's _The Thirteen Clocks_  to be enormously easier to memorize than either plain prose or long strings of numbers. Starting around age 12 I tried memorizing longer and longer pieces of poetry  or maybe "doggerel" would be more accurate. The longest effort was Lewis Carroll's _The Hunting of the Snark_.
 Mr. Missed Her
 Posts: 90
 Joined: December 7th, 2016, 12:27 pm
 Location: Somewhere within [time in years since this was entered] lightyears of you.
Re: Things You've Been Doing Other Than CGoL
There is life on Mars. We put it there with notcompletelysterilized rovers.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.
Re: Things You've Been Doing Other Than CGoL
The whole thing?!dvgrn wrote: The longest effort was Lewis Carroll's _The Hunting of the Snark_.
 gameoflifemaniac
 Posts: 852
 Joined: January 22nd, 2017, 11:17 am
 Location: There too
Re: Things You've Been Doing Other Than CGoL
The six nines in pi, also called the Feynman point, starts at the 762nd digit.dvgrn wrote:I never got all that much further than that. I started working on it because of a goal that Douglas Hofstadter mentioned somewhere or other, of getting to the "999999" somewhere in the high hundreds. It still doesn't seem impossible, but other goals are apparently more important...!drc wrote:I can do 70.
My high point for pi was somewhere around 150, a decade ago  I recognize "812848111" but everything beyond looks unfamiliar. At the moment the uncertainty sets in around digit #125. But I've recited the first hundred often enough that I'll probably never forget them.
I've always found rhyming text  or at least metered text, like Shakespearean blank verse or James Thurber's _The Thirteen Clocks_  to be enormously easier to memorize than either plain prose or long strings of numbers. Starting around age 12 I tried memorizing longer and longer pieces of poetry  or maybe "doggerel" would be more accurate. The longest effort was Lewis Carroll's _The Hunting of the Snark_.
So you can recite pi saying: 'blah,blah,pseudorandomdigits,999999 and so on '
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
One big dirty Oro. Yeeeeeeeeee...
 gameoflifemaniac
 Posts: 852
 Joined: January 22nd, 2017, 11:17 am
 Location: There too
Re: Things You've Been Doing Other Than CGoL
But worst thing is, that once I knew 475 digits of pi.
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
One big dirty Oro. Yeeeeeeeeee...
Re: Things You've Been Doing Other Than CGoL
...and it seems that this one is no longer the case.A for awesome wrote:Just broke my high score and the world record with "bad octadecatXXXetraene", which scores over a trillion.A for awesome wrote:I've lately become interested in Googlewhacks, and I think I hold the thirdhighest score in the world (multiplying the number of Google hits for each individual word) with "bad hectobXXXoride" (the XXX is to keep this page from appearing on Google searches).
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
 gameoflifemaniac
 Posts: 852
 Joined: January 22nd, 2017, 11:17 am
 Location: There too
Re: Things You've Been Doing Other Than CGoL
Practicing Theory of FirePower in Geometry Dash. My progress is 43%! And for information, muzik, my name in GD is Illuminati65.
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
One big dirty Oro. Yeeeeeeeeee...
Re: Things You've Been Doing Other Than CGoL
Cool beans.
Couple of thoughts I had:
 Could a pentagram be technically seen as a compound of two 2.5gons in their dual positions?
 Why isn't the compound of two tetrahedra considered to be a regular polyhedron alongside the other four regular stars?
Couple of thoughts I had:
 Could a pentagram be technically seen as a compound of two 2.5gons in their dual positions?
 Why isn't the compound of two tetrahedra considered to be a regular polyhedron alongside the other four regular stars?
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
 gameoflifeboy
 Posts: 474
 Joined: January 15th, 2015, 2:08 am
Re: Things You've Been Doing Other Than CGoL
No, because "technically" there is no such thing as a 2.5gon. The pentagram is called a 5/2gon, but that's just because its number of sides divided by its density equals 5/2. You could construct something by tracing halfway around a pentagram, but it wouldn't be a polygon anymore because it didn't close.muzik wrote: Could a pentagram be technically seen as a compound of two 2.5gons in their dual positions?
Because one of the criteria in the definition of a polytope is that it be properly connected, i.e., every element is accessible from every other element. It still is regular, though; check this list of regular compounds.muzik wrote: Why isn't the compound of two tetrahedra considered to be a regular polyhedron alongside the other four regular stars?
(an aside: I would say that the compounds of 5 cubes and of 5 octahedra are not technically regular, as the symmetry of each component doesn't carry over into the full shape. To see what I mean, imagine selecting just one polyhedron from the compound and making the others into edge skeletons or somethingthe resulting figure would not have cuboctahedral symmetry. Similarly, it might be argued that the compounds of 5 and 10 tetrahedra are not technically regular, as their omnitruncates are no longer vertex transitive (because the reflectional symmetry of each tetrahedron doesn't appear in the compound).)
Last edited by gameoflifeboy on April 19th, 2017, 4:06 pm, edited 1 time in total.
Re: Things You've Been Doing Other Than CGoL
Well, theoretically a 2.5gon I meant to say. It would be some degenerate shape after all.
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Things You've Been Doing Other Than CGoL
So is a small stellated dodecahedron to a stella octangula like a pentagram to a hexagram?gameoflifeboy wrote:Because one of the criteria in the definition of a polytope is that it be properly connected, i.e., every element is accessible from every other element. It still is regular, though; check this list of regular compounds.muzik wrote: Why isn't the compound of two tetrahedra considered to be a regular polyhedron alongside the other four regular stars?
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
 gameoflifeboy
 Posts: 474
 Joined: January 15th, 2015, 2:08 am
Re: Things You've Been Doing Other Than CGoL
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.muzik wrote:So is a small stellated dodecahedron to a stella octangula like a pentagram to a hexagram?
I think that the best analogy would be a shape where the pentagonal vertex figure of the small stellated dodecahedron becomes a hexagon, and the pentagrammic faces become hexagrammic. Now, these hexagrams would be pairs of equilateral triangles in a compound, so we can start by realizing that a triangular tiling has a hexagonal vertex figure and triangular faces. So we know our shape must be a compound of triangular tilings. Next, we take each triangle in the tiling and turn it into a hexagram by overlaying another triangular tiling rotated 180 degrees. When we do this to just one triangle it looks like this: https://upload.wikimedia.org/wikipedia/ ... ilings.png
We can see that half of the triangles in our original tiling are already part of hexagrams. Now we need to add just one more tiling to make every triangle part of a hexagram: https://upload.wikimedia.org/wikipedia/ ... ilings.png
The resulting figure has hexagrammic faces and hexagonal vertices, so it seems like the best hexagonalsymmetry analog of the small stellated dodecahedron.

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: Things You've Been Doing Other Than CGoL
This is what I've been doing
Airy Clave White It Nay
(Check gen 2)
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
 A for awesome
 Posts: 1948
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1
 Contact:
Re: Things You've Been Doing Other Than CGoL
Trying to figure out how to query TAPVizieR to find brown dwarf candidates in existing data. So far I haven't completely figured it out.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)
$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$
http://conwaylife.com/wiki/A_for_all
Aidan F. Pierce
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)
$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$
http://conwaylife.com/wiki/A_for_all
Aidan F. Pierce
 gameoflifemaniac
 Posts: 852
 Joined: January 22nd, 2017, 11:17 am
 Location: There too
Re: Things You've Been Doing Other Than CGoL
Damn! I'm banned from Geometry Dash!
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
One big dirty Oro. Yeeeeeeeeee...
 gameoflifemaniac
 Posts: 852
 Joined: January 22nd, 2017, 11:17 am
 Location: There too
Re: Things You've Been Doing Other Than CGoL
Things got worse. I lost all my data because I'm so dumb!
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
One big dirty Oro. Yeeeeeeeeee...