I've tried many different designs and I'm still not 100% satisfied. However this

*quipu*(yes, I know it's not a real quipu) is so simple to build, easy to handle and pleasant to the eye that I decided to present it here.

To see how the two strings are tied togther, just enlarge the picture, it should be pretty straightforward to replicate. In the center there is a triple fisherman's knots, at each end there's a figure 8 knot tightened.

A nice feature of this object is that it can be used to generate lines with different probabilities.

#### Three Coins Probabilities

- Pick (without looking) one of the knots at the end of the strings;
- If it's red, write down
**3**; if it's black, write down**2**; - Repeat steps 1-2 other two times and sum up the numbers;
- Draw the line according the following table:

6 7 8 9 - Repeat steps 1-4 other five times drawing the resulting lines from the bottom to the top of the hexagram.

Prob(6) = Prob(9) =

Prob(8) = Prob(7) =

Prob(

Note how each pick corresponds to one of the coins in the three coins method.^{1}/_{8}= 12.5%Prob(8) = Prob(7) =

^{3}/_{8}= 37.5%Prob(

*yin*) = Prob(*yang*) =^{1}/_{2}#### Yarros Stalks Probabilities

- Pick (without looking) one of the knots at the end of the strings;
- If it's black, coming out the black knot write down
**2**, otherwise write**3**; - Pick (without looking) one of the knots at the end of the strings;
- If it's red write down
**3**, if it's black, write down**2**; - Repeat ste steps 3-4 again and sum up the numbers;
- Draw the line according the following table:

6 7 8 9 - Repeat steps 1-6 other five times drawing the resulting lines from the bottom to the top of the hexagram.

^{1}/

_{4 }and 3 with probability

^{3}/

_{4}, the other steps will give 2 with probability

^{2}/

_{4}and 3 with probability

^{2}/

_{4}, meaning that the probabilities are:

Prob(6) =

Prob(8) =

Prob(7) =

Prob(9) =

Prob(

^{1}/_{16}= 6.25%Prob(8) =

^{7}/_{16}= 43.75%Prob(7) =

^{5}/_{16}= 31.25%Prob(9) =

^{3}/_{16}= 18.75%Prob(

*yin*) = Prob(*yang*) =^{1}/_{2}Note how the first pick corresponds to the first split of the 49 stalks and the others to the subsequent splits.

#### Equal Probabilities

- Pick (without looking) one of the knots at the end of the strings;
- If it's black, coming out the red knot, write down
**6** - If it's black, coming out the black knot, write down
**8** - If it's red, coming out the red knot, write down
**7** - If it's red, coming out the black knot, write down
**9** - Draw the line according the following table:

6 7 8 9 - Repeat steps 1-2 other five times drawing the resulting lines from the bottom to the top of the hexagram.

Prob(6) =

Prob(8) =

Prob(7) =

Prob(9) =

Prob(

^{1}/_{4}= 25%Prob(8) =

^{1}/_{4}= 25%Prob(7) =

^{1}/_{4}= 25%Prob(9) =

^{1}/_{4}= 25%Prob(

*yin*) = Prob(*yang*) =^{1}/_{2}#### Variations

Same principle but with a white string instead of a red one. The central knot will help handling the*quipu*while casting the lines.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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