## 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.

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

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.)

Macbi

Posts: 685
Joined: March 29th, 2009, 4:58 am

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

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).

wwei23

Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

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

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.

Macbi

Posts: 685
Joined: March 29th, 2009, 4:58 am

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

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)

Goldtiger997

Posts: 532
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

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

Goldtiger997 wrote:Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one)

How about solving the Rubik's cube while juggling it?
`x = 81, y = 96, rule = LifeHistory58.2A\$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!`
Gamedziner

Posts: 775
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

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

...but ln has 2 letters while log has 3...

Majestas32

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

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

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.

dvgrn
Moderator

Posts: 5755
Joined: May 17th, 2009, 11:00 pm

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

I've recently been getting into esolangs and I made this:
https://github.com/saka29/TPPL-Interpreter
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 3079
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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

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
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 767
Joined: January 22nd, 2017, 11:17 am
Location: There too

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

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.

wwei23

Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

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

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".

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

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