User blog:Primussupremus/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:

{1,1,1} = two.

{2,2,2} = four.

{3,3,3} = twenty seven.

{4,4,4} = Tetrabi

{5,5,5} = pentatri.

{6,6,6} = hextetratri.

{7,7,7} = heppentratri.

{8,8,8} = octhextratri.

{9,9,9} = nonheptratri.

{10,10,10} = decaocttratri.

So what do you think of this revised rule set ,does it make sense? or are there some holes in it.?