Re: Credit Crunch

a l l y wrote:
"JpinNY" <jpinny@xxxxxxxxxxx> wrote in message news:gga01k$6s1$2@xxxxxxxxxxxxxxxxxxxxxx
a l l y wrote:
"JpinNY" <jpinny@xxxxxxxxxxx> wrote in message news:gfpu8a$kk3$1@xxxxxxxxxxxxxxxxxxxxxx
Just discovering the fun of Indian Weaving Multiplication and Napier's Bones and trying to figure out Fibonacci numbers.

OK. I know about Napier's bones and the Fibonacci series, but what on earth is Indian Weaving Multiplication? (I know I could look it up on Wikipedia, but your explanation would, I'm sure, be much more enlightening.)

ally
One uses strands representing the multiplier (horizontal weft) and muliplicand (vertical warp). Where these cross (or intwhich cross each other, like the weft and warp in a cloth. Unfortunately, to avoid the explanation requires graphic explanation! It's easy if the numerals are under 5

To represent the problem 24 x 12, for example, one would represent 24 by laying out 2 weft rows at the top to represent the twenty, then leave a space and then lay out 4 more below to represent the four. Then one would have a pattern like this:

_____________________
_____________________


_____________________
_____________________
_____________________
_____________________


OK. Now you need to add the multiplicand:

You do the same but vertically, with one vertical strand through the left half of the rows to represent the ten and then two strands through the second half of the rows to represent the two. I can't represent this in the time I have available!

You will now have a grid, with four major areas where the warp and weft intersect or weave into each other.Count the inter sections in the top left - you should have 2. Write a 2 there. Now count the intersections in the top right, and the bottom left and you should have 4 and 4. Add those together to make 8. Circle that in the r. top corner. Now count the bottom right, which is also 8.

Now you have the values for the hundreds, tens and units - 2, 8 and 8, and your answer is 288.

It works with larger numbers, too, but that takes some more explanation.


Oh, heck

http://vedicmathsindia.blogspot.com/2006/11/easy-mental-multiplication-trick.html

Gosh, that's fun! I'm trying to figure out why it works, now . . .

ally



The beloved Mr P, (a bleedin' computer scientist) has been laughing his socks off at my attempts to notate the quantity of fingers I have in binary. So far I'm good up to 6, but still need to figure it out with cocktail sticks!!

Jp
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