10,098 Pages

# Chronolegends

My favorite wikis
• ## X Hierarchy

October 22, 2017 by Chronolegends

This follows up from my watercooler post here [[1]]

let Î» range over the countable limit ordinals

and Î»[n] be the nth member in the fundamental sequence of Î»

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• ## improved Egg Notation - Analysis

April 26, 2017 by Chronolegends

Let me know if theres some specific numbers or another notation you guys would like me to add., i don't promise to add every suggestion but i'll take ideas.

The right side counts the red eggs upon applying the notation to the left side

Improved Egg Notation Analysis Table
iEN FGH
• ## improved Egg Notation

April 25, 2017 by Chronolegends
Improved Egg Notation

This is a notational and functional upgrade of my previous blog [1]

Note: A change in the encoding renders strings from this version and the previous incompatible.

Concepts
Eggs
A pair of grouping symbols
Egg whites separation between egg groups inside eggs, represented by a comma ,
Egg colors
Red = ()
Blue = []
Green = {}
Egg groups
Contiguous Eggs
Syntax Rules
There may be no red egg to the left of a non-red egg. Example: ()[] is invalid
The above rule also applies to eggs inside other eggs
There is at least one red egg
A Blue Egg may contain Red Eggs or Green Eggs, but not both.
Green Eggs must be inside a Blue Egg or a Green Egg
When there are only Red Eggs, the notation has ended
Symbol glossary
R(n) = n copies of ()
B(X) = [X]
G(X) =â€¦
• ## Egg Notation

March 28, 2017 by Chronolegends
Egg Notation, Red and Blue eggs

Motivation: The idea was to make a FGH clone without using math language like functions, iterations, ordinals, etc.. in order to make it the least mathy possible it i chose to make it completely without numbers

Why eggs?, because notations in googology sooner or later end up being mixed into salad numbers so i figured i would provide a tasty ingredient for any salad.

Concepts
Eggs
A pair of grouping symbols
Egg colors
Red = ()
Blue = []
Egg groups
Contiguous Eggs
Syntax Rules
There may be no red egg to the left of a non-red egg. Example: ()[] is invalid
The above rule also applies to eggs inside other eggs
There is at least one red egg
Symbol Glossary
R = Zero or more Red Eggs.
B = Zero or more Blue Eggs.
A/B = Zero or more â€¦
• ## Chronolegend's Shrinking Hierarchy

February 11, 2017 by Chronolegends

Following from my post in the watercooling forum[1] , and thanks to Littlepeng9 for pointing out an error.

Using normal indexes instead of negative ones (also using alpha now since i'm not really defining it for any limit ordinals)