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Awani
09-22-2009, 08:08 PM
I dabbled a bit in this before and I found it interesting that the following pattern always emerge...

If you take any number, lets say 418 and then add up all its combinations like:

418
814
148
184
481
841

Total = 2886 = 2+8+8+6 = 6

Now you do the same with 417 = 9, 416 = 3, 415 = 6, 414 = 9 etc...

The pattern is always 3, 6, 9... magic numbers.

Nothing new, but interesting!

:cool:

Zephyr
09-22-2009, 09:13 PM
Most curious. At what point does this pattern begin? As soon as the 10 basic digits are exhausted?
11+11=22-->4
12+21=33-->6
13+31=44-->8
14+41=55-->10-->1
...
25+52=77-->14-->5
...
56+65=121-->4
...
98+89=187-->16-->7
99+99=198-->18-->9
.
100+010+001=111-->3
101+101+110+110+011+011=444-->12-->3
102+201+120+210+021+012=666-->18-->9
...

Well, it looks like the crunched sums of single digits go up in increments of one, in two digit, they go up in increments of two, and in three, they would go up in increments of 3. Howevever we see that "101" and "102" are a counterexample to this pattern. I wonder why?

*Zephyr*

LeoRetilus
12-13-2009, 05:38 AM
Interesting, sometimes I find myself with a calculator in my hand and find simliar patterns, except I always find myself multipying 9 times other numbers and resolving the sum back to nine.

For example: 9x9x6x7=3402 -> 3+4+0+2=9
9x4x5x3x9x5=24300 ->2+4+3+0+0=9
6x9x21x15x3=51030 ->5+1+0+3+0=9
and on and on , but it does stop at one point then begin again

The magical number 9:)

Ghislain
12-13-2009, 08:31 AM
All multiples of nine resolve back to nine.

It is the principle whereby you predict what
a person is going to say.

Try this on someone:


tell them to pick a number
now multiply the number by nine
if the resulting number has more than one digit
keep adding the digits together until it resolves
to one digit (which you know will be nine)
get them to subtract 5 from their total
(they now have four)
tell them to associate the number with a letter
from the alphabet (a=1,b=2.....) they now have
"d"
tell them to choose a country (in english) starting
with their letter. It is usually Denmark
tell them to choose an animal starting with the
second letter of the country name. (this is
usually an elephant.
ask then to think of what colour they associate with
this animal (this is usually grey)
ask them if they are thinking of a grey elephant
from denmark...watch the surprise on their face
when you get it right :)

When they have got to the country you could ask them to choose
the last letter, "k", and think of an animal. This is usually a
kangaroo or a koala, now ask them to think of a fruit begining with
the last letter of the animal then tell them it is either an apple or an orange.

Ghislain