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Torbenm's Troll This is like literally releveant to me like useuful to my cause but I dont know how yet
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1/81 | 32/81 | 24/81 | 8/81 | 1/81 | 32/81 | 24/81 | 8/81 | 1/81 | 32/81 | 24/81 | 8/81 |
1/241 | 80/241 | 80/241 | 40/241 | 10/241 | 1/241 | 80/241 | 80/241 | 40/241 | 10/241 | 1/241 | 1/241 | 80/241 | 80/241 | 40/241 | 10/241 | 1/241 |
1/723 | 12/723 | 60/723 | 160/723 | 240/723 | 192/723 | 1/723 | 12/723 | 60/723 | 160/723 | 240/723 | 192/723 | 1/723 | 12/723 | 60/723 | 160/723 | 240/723 | 192/723 |
1/2187 | 14/2187 | 84/2187 | 280/2187 | 560/2187 | 672/2187 | 448/2187 | Repeat... |
1/6561 | 16/6561 | 112/6561 | 448/6561 | 1120/6561 | 1792/2187 | 1792/2187 | 1024/2187 | Repeat... |
1/19683 | 18/19683 | 144/19683 | 672/19683 | 2016/19683 | 4032/2187 | 5376/2187 | 4608/2187 | 2304/2187 | Repeat... |
4=2*2
6=3*2, 12=3*4
8=4*2, 24=6*4, 32=4*8
10=5*2, 40=10*4, 80=10*8, 80=5*16
I still need to find the graphical pattern...
===================
ooo xxx ---
===================
xoo -xx o--
oxo x-x -o-
oox xx- --o
-oo oxx x--
o-o xox -x-
oo- xxo --x
===================
vvvvvvvvvvvvvvvvvvv
numero total símbolos dirección
=========================================== 27 >>>
ooo xxx ---
=========================================== 3 3 o x -
xoo -oo -xx oxx o-- x--
oxo o-o x-x xox -o- -x-
oox oo- xx- xxo --o --x
=========================================== 18 21 x--oox
xo- -xo o-x
-ox ox- x-o
=========================================== 6 27 x-o -ox x--oox ???
ooo oo
xoo oo
oxo oo
oox oo
xo- oo
-ox oo
-oo oo
o-o oo
oo- oo
xxx oo
-xx oo
x-x oo
xx- oo
-xo oo
ox- oo
oxx oo
xox oo
xxo oo
--- oo
o-- oo
-o- oo
--o oo
o-x oo
x-o oo
x-- oo
-x- oo
--x oo
ooo xo
xoo xo
oxo xo
oox xo
xo- xo
-ox xo
-oo xo
o-o xo
oo- xo
xxx xo
-xx xo
x-x xo
xx- xo
-xo xo
ox- xo
oxx xo
xox xo
xxo xo
--- xo
o-- xo
-o- xo
--o xo
o-x xo
x-o xo
x-- xo
-x- xo
--x xo
ooo ox
xoo ox
oxo ox
oox ox
xo- ox
-ox ox
-oo ox
o-o ox
oo- ox
xxx ox
-xx ox
x-x ox
xx- ox
-xo ox
ox- ox
oxx ox
xox ox
xxo ox
--- ox
o-- ox
-o- ox
--o ox
o-x ox
x-o ox
x-- ox
-x- ox
--x ox
ooo xx
xoo xx
oxo xx
oox xx
xo- xx
-ox xx
-oo xx
o-o xx
oo- xx
xxx xx
-xx xx
x-x xx
xx- xx
-xo xx
ox- xx
oxx xx
xox xx
xxo xx
--- xx
o-- xx
-o- xx
--o xx
o-x xx
x-o xx
x-- xx
-x- xx
--x xx
ooo -x
xoo -x
oxo -x
oox -x
xo- -x
-ox -x
-oo -x
o-o -x
oo- -x
xxx -x
-xx -x
x-x -x
xx- -x
-xo -x
ox- -x
oxx -x
xox -x
xxo -x
--- -x
o-- -x
-o- -x
--o -x
o-x -x
x-o -x
x-- -x
-x- -x
--x -x
ooo x-
xoo x-
oxo x-
oox x-
xo- x-
-ox x-
-oo x-
o-o x-
oo- x-
xxx x-
-xx x-
x-x x-
xx- x-
-xo x-
ox- x-
oxx x-
xox x-
xxo x-
--- x-
o-- x-
-o- x-
--o x-
o-x x-
x-o x-
x-- x-
-x- x-
--x x-
ooo --
xoo --
oxo --
oox --
xo- --
-ox --
-oo --
o-o --
oo- --
xxx --
-xx --
x-x --
xx- --
-xo --
ox- --
oxx --
xox --
xxo --
--- --
o-- --
-o- --
--o --
o-x --
x-o --
x-- --
-x- --
--x --
ooo o-
xoo o-
oxo o-
oox o-
xo- o-
-ox o-
-oo o-
o-o o-
oo- o-
xxx o-
-xx o-
x-x o-
xx- o-
-xo o-
ox- o-
oxx o-
xox o-
xxo o-
--- o-
o-- o-
-o- o-
--o o-
o-x o-
x-o o-
x-- o-
-x- o-
--x o-
ooo -o
xoo -o
oxo -o
oox -o
xo- -o
-ox -o
-oo -o
o-o -o
oo- -o
xxx -o
-xx -o
x-x -o
xx- -o
-xo -o
ox- -o
oxx -o
xox -o
xxo -o
--- -o
o-- -o
-o- -o
--o -o
o-x -o
x-o -o
x-- -o
-x- -o
--x -o
|
o=1, x=0, -=T or -1
oo 11=4
xo 01=1
ox 10=3
xx 00=0
-x T0=-3
x- 0T=-1
-- TT=-4
o- 1T=2
-o T1=-2
|
oo 11=4
ox 10=3
o- 1T=2
xo 01=1
xx 00=0
x- 0T=-1
-o T1=-2
-x T0=-3
-- TT=-4
|
Changelog:
02/11/2024 Final - Apparently this is called a Pascal's triangle and pyramid, like I knew I hadn't disco ered anything new, but all the magic is gone now... :(
29/09/2024 1- Added link to Troll, dice/probability generator
19/09/2024 1- Added like, a table with up to 50 coins tossed like I made it in
LibreCalc so it was easy like I could share the .ods, like in a LibreCalc .htm
or something? I have some operations and conditional formats there... Maybe when
I set up my own server (port forwarding scares me like), and like the green numbers
are like even numbers, I plan to like do more itinerations so I can get like the
table with the simplified fractions (reduced? idk the word, not even in Spanish)
14/07/2024 1- Added the image below the o/x/- table
13/07/2024 3- Added more to the ternary table, because Im experimenting
(can I call it that?) to find the pattern, I have found the pattern for
column 2 and 3 so far... And I have too for the fourth column but its
too weird and far away so hmmm... Maybe I should remove the </TD> ?
I have way to many...
13/07/2024 2- Linked sections and the index
13/07/2024 1- Added probability table for heads-tails-arms coins. Need:
Add explanations to everthing, add inverted probability tables, this is
going to be so fun and maybe a bit revealing
11/07/2024 3- Created a system to organised "automatically" coins with
heads, tails and arms. It is sadly based on the numerical representation
of balanced ternary and not based on the number of heads/tails/arms as
in the colourful ones, this needs to be fixed...
11/07/2024 2- Added combinations for coins with heads, tails and arms
11/07/2024 1- In the combination section added tables to organise the columns and asign colours in a more clear way
It's pretty funny and puzzling that using the same arrangement that
in the binary tables (ooooo,o----,oo---,ooo--,oooo-,----) instead of
going from a small numerator to a bigger one it goes from a big one to a
smaller one (1>4>6 in opposition to 1>32>21>8)
Also, the nominators are based on the nominators from the heads and
tails table: 4/9 comes from 2/4, 6/27 and 12/27 both come from 3/8,
32/81 and 8/81 come
from 4/16 and 24/81 comes from 6/16. I still can find the pattern
"graphically"?, like 4/9 is the sum of four 1/3 (the 2 surrounding him
by the sides, the one of top of it and the one of top of the right 1/3,
6/27 is 4+1+1 which are near it and 12/27 is 6+4+1+1 which are also near
it but I still have to figure out in what pattern they are added.
|