## 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.
Macbi
Posts: 759
Joined: March 29th, 2009, 4:58 am

### 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.)

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

### 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).

Macbi
Posts: 759
Joined: March 29th, 2009, 4:58 am

### 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.

Goldtiger997
Posts: 627
Joined: June 21st, 2016, 8:00 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)

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### 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?

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``````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!
``````

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

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

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

dvgrn
Moderator
Posts: 7169
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

### 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.

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

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``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

gameoflifemaniac
Posts: 1197
Joined: January 22nd, 2017, 11:17 am
Location: There too

### 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
I was so socially awkward in the past and it will haunt me for the rest of my life.

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``````x = 21, y = 5, rule = B3/S23
b2o2bo2b2o2b2o2bobobo\$o3bobobobobobobobobo\$bo2bobob2o2b2o3bo2bo\$2bobob
obobobobo2bo\$2o3bo2bobobobo2bo2bo!
``````

wwei23
Posts: 1208
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
I don't get to see it at all, the moon will be under the horizon the entire time.

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### 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".