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Primussupremus Primussupremus 22 June 2017
1

My idea for a new notation.

A few days ago I was experimenting with a new type of notation that is similar to BEAF but at the same time is vastly different,

Define:

{a} = a.

{a,b} = a^b

{a,b,c} = a{b up arrows}c.

{a,b,c,d} = {a,b,c} recursed d-1 times.

To give an example of each of the 4 base levels we have:

{3} = 3.

{3,3} = 3^3 = 27.

{3,3,3} = 3{ 3 up arrows} 3 =

{3,3,3,3} = 3{(3{(3{3 up arrows}3) up arrows}3)up arrows}3.

To make this a bit clearer here is a brief explanation using letters and numbers.

Now that we have that defined we can move on to 5+ entry arrays.

{a,b,c,d,e} = {a,b,c,d} recursed ({a,b,c,d}-1) times for n>0.

Generally for an array of length k ( a k tuple) > 4 you recurse it ({k-1 tuple}-1) times.

Now lets move on to using the array of operator in my array notati…

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Primussupremus Primussupremus 21 June 2017
1

The first official Googolism defined using my notation.

This is the first official googolism defined using my notation {3,7,3| 3,7#3} = Ternarygollumtree number.

I chose the name because it sounded kind of funny but also meaningful as gollum dies in the 3rd lotr book/film tree rhymes with 3 and Ternary is also related to the number 3.

Later on I hope to create a stronger notation using an original extension to a BEAF style array that can produce some pretty phenomenal results.

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Primussupremus Primussupremus 14 June 2017
1

Array notation rule set.

Here is the rule set for my notation from: {a,b,c} to {a,b,c|d,k#p}

[a,1,c] = a+c [a,2,c] = a*c [a,b,c] = a{b-2}c if c > 2 [a,b,c|0] = [a,b,c] [a,b,c|d] = [a,[a,b,c|d-1],c|d-1] [a,b,c|d,0] = [a,b,c|d] [a,b,c|d,e] = [a,b,c|[a,b,c|d,e-1]]

Now on to {a,b,c|d,k#p}

[a,b,c|@,0] = [a,b,c|@] (@ is any string) [a,b,c|@,p,q] = [a,b,c|@,[a,b,c|@,p,q-1]]

Finally:

[a,b,c|d,k#p] = [a,b,c|(p d's),k]

So how do you think of that rule set.

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Primussupremus Primussupremus 10 June 2017
1

Systematically creating the rule set of my notation.

After being away for quite a while from the wiki I decided to come back and try and create a better rule set for my notation starting at {a,b,c}.

I will first show them examples then develop a rule set from that.

{a,b,c} = {a (b-2 up arrows c}

for: b< 3 = a*b for b= 2 and a+b for b=1.

If  b >= 3 apply the rule in line 1.

Now that I've got the rule set down for {a,b,c} I can start to give some examples:

{1,1,1} = 1+1 = 2.

{2,2,2} = 2*2 = 4.

{3,3,3} = 3^3 = 27.

{4,4,4} = 4(2 up arrows) 4.

{5,5,5} = 5( 3 up arrows) 5.

{6,6,6} = 6( 4 up arrows) 6.

{7,7,7} = 7(5 up arrows) 7.

{8,8,8} = 8(6 up arrows) 8.

{9,9,9} = 9(7 up arrows) 9.

{10,10,10} = 10(8 up arrows)10.

Now that I have given some examples I will write down a unique name for each of these examples:

{1,1…

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Primussupremus Primussupremus 4 June 2017
3

what does everyone think about my array notation?

I have just been wondering what everyone thinks about my array notation , any suggestions to how I could improve it?

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