Search found 844 matches

by gameoflifemaniac
December 28th, 2019, 12:11 pm
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 1757
Views: 854492

Re: Thread for your unsure discoveries

Known?

Code: Select all

x = 7, y = 5, rule = B3/S23
o3bo$o4bo$o4bo$o2bo2bo$5b2o!
by gameoflifemaniac
December 10th, 2019, 10:28 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

LVO isn't the limit of Veblen notation. There are more fixed points beyond that. LVO is psi(Ω^Ω^Ω). For simplicity I'll use a recursive function called v(α) (which I made up): v(α) = phi(1, α 0's) v(0) = phi(0) = 1 v(1) = phi(1,0) = ω v(2) = phi(1,0,0) = Γ_0 v(ω) = SVO (Small Veblen ordinal) v(v(ω))...
by gameoflifemaniac
December 7th, 2019, 2:33 pm
Forum: The Sandbox
Topic: How Your Username Evolves
Replies: 102
Views: 60049

Re: How Your Username Evolves

x = 74, y = 5, rule = B3/S23 b2o3b2o2bo3bob4o2b2o2b4obo3bob4ob4obo3bo2b2o2bo2bobo2b2o3b2o$o4bo2bob 2ob2obo4bo2bobo4bo3bobo4bo4b2ob2obo2bob2obobobo2bobo2bo$ob2ob4obobobob 4obo2bob4obo3bob4ob4obobobob4obob2obob4obo$o2bobo2bobo3bobo4bo2bobo4bo 3bobo4bo4bo3bobo2bobo2bobobo2bobo2bo$b2o2bo2bobo3bob4o2b2o...
by gameoflifemaniac
December 7th, 2019, 10:15 am
Forum: Scripts
Topic: Golly scripts
Replies: 244
Views: 189305

Re: Golly scripts

Dvgrn and I made this script called diehard.lua: local g = golly() local gp = require "gplus" local selection = g.getselrect() if #selection == 0 then g.exit("There is no selection.") end largestlifespanfoundsofar = 0 runpatterns = 0 founddiehards = 0 g.addlayer() g.setlayer(0) while ( true ) do g.n...
by gameoflifemaniac
December 4th, 2019, 3:01 am
Forum: The Sandbox
Topic: Thread for Non-CA Academic Questions
Replies: 309
Views: 75613

Re: Thread for Non-CA Academic Questions

Can someone explain Bowers Exploding Array Function?
by gameoflifemaniac
December 4th, 2019, 2:37 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

I mean what the fundamental sequence of it? I can't understand what's in the wiki.
by gameoflifemaniac
December 3rd, 2019, 10:18 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

Can you diagonalize w_1CK?
by gameoflifemaniac
November 30th, 2019, 9:36 am
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

If I want to make the GPC draw an infinite two-dimensional pattern (for example a fractal), what method of drawing the "pixels" is best?
by gameoflifemaniac
November 30th, 2019, 3:35 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

In many commonly used ordinal notations, W_1 acts as a fixed point of psi_0. We can then define psi_1 which creates expressions with W_1, and define W_2 as a fixed point of psi_1. Many strong notations, such as Pi and Pair Sequence System, make use of this "omega-upgrading" up to its first limit, p...
by gameoflifemaniac
November 29th, 2019, 5:00 pm
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

(Also f_e_0(n), n>1 = f_w^^(n-1)(n) because e_0's fs is {0,1,w,w^w,...} not {1,w,w^w,...}) What? 0 is not in e_0's fundamental sequence because w^0 = 1, and 0 can't be expressed that way. 0 is in e_0's fs, as virtually every source or mathematician will tell you: https://googology.wikia.org/wiki/Ε₀...
by gameoflifemaniac
November 29th, 2019, 4:22 pm
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

Moosey wrote:
November 29th, 2019, 3:32 pm
(Also f_e_0(n), n>1 = f_w^^(n-1)(n) because e_0's fs is {0,1,w,w^w,...} not {1,w,w^w,...})
What? 0 is not in e_0's fundamental sequence because w^0 = 1, and 0 can't be expressed that way.
by gameoflifemaniac
November 29th, 2019, 3:10 pm
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

3) Anyone can post something false on YouTube. Just because you've heard of the fgh doesn't mean you understand them. f_w(n) = f_n(n) f_w+1(n) = f_w(f_w(f_w...(n)...)) n times f_w2(n) = f_w+n(n) f_w3(n) = f_w2+n(n) f_w^2(n) = f_wn(n) f_w^3(n) = f_(w^2)n(n) f_w^w(n) = f_w^n(n) f_w^w^w(n) = f_w^w^n(n...
by gameoflifemaniac
November 29th, 2019, 10:38 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

Moosey wrote:
November 26th, 2019, 6:15 pm
they aren't
why?
Because someone tried to diagonalize f_psi_1(1) (3) in a video. How can you diagonalize an uncountable number?
by gameoflifemaniac
November 29th, 2019, 2:33 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

Can anyone explain me ordinals significantly bigger than the BHO? In many commonly used ordinal notations, W_1 acts as a fixed point of psi_0. We can then define psi_1 which creates expressions with W_1, and define W_2 as a fixed point of psi_1. Many strong notations, such as Pi and Pair Sequence S...
by gameoflifemaniac
November 27th, 2019, 2:31 pm
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

Can anyone explain me ordinals significantly bigger than the BHO?
by gameoflifemaniac
November 27th, 2019, 2:37 am
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

So how are countable ordinals larger than the Bachmann-Howard ordinal defined?
by gameoflifemaniac
November 26th, 2019, 3:01 pm
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 166
Views: 4983

Re: Ordinals in googology

Why are the values of higher psi functions considered countable when they're don't seem to be?
by gameoflifemaniac
November 22nd, 2019, 5:55 pm
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

dvgrn wrote:
November 22nd, 2019, 5:50 pm
gameoflifemaniac wrote:
November 22nd, 2019, 5:46 pm
Works. Thank you
You're welcome! Now I have to figure out why in Conway's name the SQ unit is breaking, for some programs that the emulator thinks are just fine (like if you use SQX instead of SQY to make a binary adder).
What code are you planning to write next?
by gameoflifemaniac
November 22nd, 2019, 5:46 pm
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

Works But I still get this after pasting the empty GPC... Okay, you're pretty much good to go now. You can't just paste in the GPC pattern, because you could put it anywhere, and the script would have to figure out where you put it, and I'm far too lazy for that. Save the GPC-2^24.mc pattern to you...
by gameoflifemaniac
November 22nd, 2019, 5:28 pm
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

# APGsembly code emulator, version 0.5 (beta) # Version 0.314159+: remove phi calculator and other test programs, activate pi calculator # Version 0.5: add support for "ZZ" and "*" preprocessor formats, mostly copied from APGompiler.py import golly as g from glife.text import make_text import types...
by gameoflifemaniac
November 22nd, 2019, 4:25 pm
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

Umm, this is what was generated by the compiler, but what is this x = 12188, y = 12322, rule = B3/S23 9751b2o$9750bobo$9744b2o4bo$9742bo2bo2b2ob4o$9742b2obobobobo2bo$9745bo bobobo$9745bobob2o$9746bo2$9759b2o$9750b2o7bo$9750b2o5bobo$9757b2o7$ 9747b2o$9693bo54bo$9691b3o51b3o$9690bo54bo$9690b2o7bo$9697...
by gameoflifemaniac
November 22nd, 2019, 3:29 pm
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

I mean I can't replace the O(sqrt(log(T))) code in the script with any other code without an error popping up. How do I connect it?
And how can the emulator be converted to an actual GPC in CGOL?
Also, I would love to see some more patterns drawing stuff.
by gameoflifemaniac
November 22nd, 2019, 2:13 pm
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

I don't understand how do I make it work
Could you make some more GPC's?
by gameoflifemaniac
November 22nd, 2019, 11:50 am
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

Code: Select all

[Window Title]
Golly note:

[Content]
Pre-processing failed on lines:
INITIAL; Z; AD; READ T0
AD; Z; D; SET T0, DEC T0
Need a Z and NZ line for each state, or * / ZZ syntax.

[OK] [Anuluj]
by gameoflifemaniac
November 22nd, 2019, 2:20 am
Forum: Patterns
Topic: Smaller Pi Calculator Challenge
Replies: 44
Views: 1833

Re: Smaller Pi Calculator Challenge

It works, but how can I paste in correctly different codes and how can I turn it into a GPC?