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.
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Macbi
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Re: Things You've Been Doing Other Than CGoL

Post by Macbi » May 1st, 2018, 8:37 am

muzik wrote:What is the equation of the curve present in x^y=y^x?
You can't define it without the Lambert W function, which is defined as the inverse function to the function that sends x to xe^x. The you can describe that curve by y = W(-log(x)/x)x/log(x). (The logarithms are base e, naturally.)

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wwei23
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Re: Things You've Been Doing Other Than CGoL

Post by wwei23 » May 1st, 2018, 9:18 am

Macbi wrote:
muzik wrote:What is the equation of the curve present in x^y=y^x?
You can't define it without the Lambert W function, which is defined as the inverse function to the function that sends x to xe^x. The you can describe that curve by y = W(-log(x)/x)x/log(x). (The logarithms are base e, naturally.)
That would be y = W(-ln(x)/x)x/ln(x).

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

Post by Macbi » May 1st, 2018, 9:56 am

wwei23 wrote:
Macbi wrote:
muzik wrote:What is the equation of the curve present in x^y=y^x?
You can't define it without the Lambert W function, which is defined as the inverse function to the function that sends x to xe^x. The you can describe that curve by y = W(-log(x)/x)x/log(x). (The logarithms are base e, naturally.)
That would be y = W(-ln(x)/x)x/ln(x).
Most mathematicians I know use "log" to mean base e (or base 2 in information theory or computer science). Using "log" to mean base 10 is uncool because 10 is just an arbitrary number with no mathematical significance. So I avoid using "ln" because if I did use it I'd be worried that people would think that I had deliberately avoided using "log", and that therefore I must be the uncool kind of person who thinks that "log" means base 10.

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Goldtiger997
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Re: Things You've Been Doing Other Than CGoL

Post by Goldtiger997 » May 29th, 2018, 12:51 am

I managed to solve a rubik's cube in my left hand while simultaneously juggling two balls in my right hand. It took 2 minutes and 31 seconds. That was after about 15 tries.

Has any one else tried something like this before, or at least attempted to perform two skills/hobbies at once? Another one I recently did was fold a fairly neat paper crane in my left hand while juggling two balls in my right.

Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one) :D

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

Post by Gamedziner » May 29th, 2018, 7:51 am

Goldtiger997 wrote:Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one) :D
How about solving the Rubik's cube while juggling it?

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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Majestas32
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Re: Things You've Been Doing Other Than CGoL

Post by Majestas32 » May 29th, 2018, 7:56 am

...but ln has 2 letters while log has 3...
Please, stop spam searching Snowflakes.

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

Post by dvgrn » May 29th, 2018, 4:36 pm

Gamedziner wrote:
Goldtiger997 wrote:Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one) :D
How about solving the Rubik's cube while juggling it?
There's some very recent prior art. Que Jianyu solved three 3x3 cubes while juggling them, in just over five minutes.

At the latest Gathering for Gardner I saw people solving cubes blindfolded, solving them with just their feet, and so on, but I didn't see any cube jugglers... I can juggle, and I can solve Rubik's Cubes, but I must say I'm not too tempted to try combining the two.

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

Post by Saka » June 5th, 2018, 10:36 am

I've recently been getting into esolangs and I made this:
https://github.com/saka29/TPPL-Interpreter
:D

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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

Post by gameoflifemaniac » July 27th, 2018, 4:48 pm

Right now there's a total lunar eclipse in Poland. But the clouds are hiding the moon and I'm missing something that happens once in a lifetime. :(
EDIT: It's over. Now it's visible, but only partial :(
This is a signature

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wwei23
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Re: Things You've Been Doing Other Than CGoL

Post by wwei23 » July 28th, 2018, 12:40 am

gameoflifemaniac wrote:Right now there's a total lunar eclipse in Poland. But the clouds are hiding the moon and I'm missing something that happens once in a lifetime. :(
EDIT: It's over. Now it's visible, but only partial :(
I don't get to see it at all, the moon will be under the horizon the entire time.

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77topaz
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Re: Things You've Been Doing Other Than CGoL

Post by 77topaz » August 1st, 2018, 7:32 pm

gameoflifemaniac wrote:Right now there's a total lunar eclipse in Poland. But the clouds are hiding the moon and I'm missing something that happens once in a lifetime. :(
EDIT: It's over. Now it's visible, but only partial :(
Luckily, lunar eclipses aren't really "once in a lifetime", more "once in a few years".

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