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Tossing coins

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Tabla
o/-
o/x/-
  • 2
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  • 5
Changelog
1/21/2
1/42/41/4
1/83/83/81/8
1/164/166/164/161/16
1/325/3210/3210/325/321/32
1/646/6415/6420/6415/646/641/64
1/1287/12821/12835/12835/12821/1287/1281/128
1/2568/25628/25656/25670/25656/25628/2568/2561/256
1/5129/51236/51284/512126/512126/51284/51236/5129/5121/512
1/102410/102445/1024120/1024210/1024252/1024210/1024120/102445/102410/10241/1024
1/204811/204855/2048165/2048330/2048462/2048462/2048330/2048165/204855/204811/20481/2048
1/21/2
1/4*1/2*1/4
1/83/83/81/8
1/161/43/81/41/16
1/325/32*5/16*5/165/321/32
1/643/3215/645/1615/643/321/64
1/1287/12821/12835/12835/12821/1287/1281/128
1/2561/327/64*7/32*35/1287/327/641/321/256
1/5129/5123/6421/12863/25663/25621/1283/649/5121/512
1/10245/51245/102415/128105/51263/128???105/51215/12845/10245/5121/1024
1/204811/204855/2048165/2048*165/1024*231/1024231/1024165/1024165/204855/204811/20481/2048

oo
-o
o-
--
ooo
-oo
o-o
oo-
--o
-o-
o--
---
oo o
-o o
o- o
-- o
oo -
-o -
o- -
-- -

oooo
-ooo
o-oo
oo-o
ooo-
--oo
-o-o
o--o
-oo-
o-o-
oo--
---o
--o-
-o--
o---
----
oo oo
-o oo
o- oo
-- oo
oo -o
-o -o
o- -o
-- -o
oo o-
-o o-
o- o-
-- o-
oo --
-o --
o- --
-- --

oooo
o-oo
-ooo
ooo-
oo-o
--oo
o-o-
-oo-
o--o
-o-o
oo--
--o-
---o
o---
-o--
----
oo oo
o- oo
-o oo
-- oo
oo o-
o- o-
-o o-
-- o-
oo -o
o- -o
-o -o
-- -o
oo --
o- --
-o --
-- --

oooooo
-ooooo
o-oooo
oo-ooo
ooo-oo
oooo-o
ooooo-
--oooo
-o-ooo
o--ooo
-oo-oo
o-o-oo
oo--oo
-ooo-o
o-ooo-
oo-o-o
-oooo-
o-ooo-
oo-oo-
ooo--o
ooo-o-
oooo--
---ooo
--o-oo
-o--oo
o---oo
--oo-o
-o-o-o
o--o-o
--ooo-
-o-oo-
o--oo-
-oo--o
o-o--o
oo---o
-oo-o-
o-o-o-
oo--o-
-ooo--
o-oo--
oo-o--
ooo---
----oo
---o-o
---oo-
--o--o
-o---o
o----o
--o-o-
-o--o-
o---o-
--oo--
-o-o--
o--o--
-oo---
o-o---
oo----
-----o
----o-
---o--
--o---
-o----
o-----
------
ooo ooo
-oo ooo
o-o ooo
oo- ooo
--o ooo
-o- ooo
o-- ooo
--- ooo
ooo -oo
-oo -oo
o-o -oo
oo- -oo
--o -oo
-o- -oo
o-- -oo
--- -oo
ooo o-o
-oo o-o
o-o o-o
oo- o-o
--o o-o
-o- o-o
o-- o-o
--- o-o
ooo oo-
-oo oo-
o-o oo-
oo- oo-
--o oo-
-o- oo-
o-- oo-
--- oo-
ooo --o
-oo --o
o-o --o
oo- --o
--o --o
-o- --o
o-- --o
--- --o
ooo -o-
-oo -o-
o-o -o-
oo- -o-
--o -o-
-o- -o-
o-- -o-
--- -o-
ooo o--
-oo o--
o-o o--
oo- o--
--o o--
-o- o--
o-- o--
--- o--
ooo ---
-oo ---
o-o ---
oo- ---
--o ---
-o- ---
o-- ---
--- ---
oo oo oo
-o oo oo
o- oo oo
-- oo oo
oo -o oo
-o -o oo
o- -o oo
-- -o oo
oo o- oo
-o o- oo
o- o- oo
-- o- oo
oo -- oo
-o -- oo
o- -- oo
-- -- oo
oo oo -o
-o oo -o
o- oo -o
-- oo -o
oo -o -o
-o -o -o
o- -o -o
-- -o -o
oo o- -o
-o o- -o
o- o- -o
-- o- -o
oo -- -o
-o -- -o
o- -- -o
-- -- -o
oo oo o-
-o oo o-
o- oo o-
-- oo o-
oo -o o-
-o -o o-
o- -o o-
-- -o o-
oo o- o-
-o o- o-
o- o- o-
-- o- o-
oo -- o-
-o -- o-
o- -- o-
-- -- o-
oo oo --
-o oo --
o- oo --
-- oo --
oo -o --
-o -o --
o- -o --
-- -o --
oo o- --
-o o- --
o- o- --
-- o- --
oo -- --
-o -- --
o- -- --
-- -- --

1/31/31/3
1/94/91/94/91/94/9
1/2712/276/271/2712/276/271/2712/276/27
1/8132/8124/818/811/8132/8124/818/811/8132/8124/818/81
1/24180/24180/24140/24110/2411/24180/24180/24140/24110/2411/2411/24180/24180/24140/24110/2411/241
1/72312/72360/723160/723240/723192/7231/72312/72360/723160/723240/723192/7231/72312/72360/723160/723240/723192/723
1/218714/218784/2187280/2187560/2187672/2187448/2187Repeat...
1/656116/6561112/6561448/65611120/65611792/21871792/21871024/2187Repeat...
1/1968318/19683144/19683672/196832016/196834032/21875376/21874608/21872304/2187Repeat...

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:
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.