dividing
The mind loves to dissect and analyse the past
...there is no future in this.
words...numbers...sometimes, a little cement
Filed under
maths
The mind loves to dissect and analyse the past
...there is no future in this.
SODUOK
I'm really not very good at Sudoku ~ so here is a mystery of number 9 (sorry to all you legal typists for the lack of tabbing)
1 x 9 = 9
9 x 9 = 81 and 8 + 1 = 9
9 x 9 x 9 = 729 and 7 + 2 + 9 = 18 and 1 + 8 = 9
9 x 9 x 9 x 9 = 6561 and 6 + 5 + 6 + 1 = 18 and 1 + 8 = 9
etc...etc...ad infinitum (ie. up to infinity, and no further!)
and of course
N + I + N + E = 9 also
Ha!
Posted by Andrew Crane
Comments [2]
un-known
The prefix 'un' implies a negative or non-existent state
ie un-seen, un-usual, un-expected, un-known.
In order to get from the un-known to the known
it is necessary to pass through zero
....or is it infinity?
(sometimes, an ugly mark is really useful)
Posted by Andrew Crane
Comments [3]
4 over 3
Ulmus procera...
The disappearance of the Elm tree, from the English landscape, has left an indelible mark on me. I wonder if their magnificence can ever be re-kindled.
Just as the acorn holds the blueprint of an adult oak ~ the elm seed continues to germinate and produce perfect young trees in the hedgerows. But, without fail (so far) the elm beetle snuffs them out long before adulthood.
The elm beetle is not to blame...it's just doing what elm beetles do ~ but I wonder if full elm-ness can be completely restored.
My own view, is that it can ~ not on the gross level of genetic interference, but at an energetic level.
Posted by Andrew Crane
Comments [1]
Ulam's Little Doodle
The Ulam spiral, or prime spiral is a simple method of graphing the prime numbers that reveals a pattern. It was discovered by the mathematician Stanislaw Ulam in 1963, while doodling on scrap paper at a scientific meeting. Ulam, bored that day, wrote down a regular grid of numbers, starting with 1 at the centre, and spiralling out: Numbers from 1 to 50 placed in spiral order. He then circled all of the prime numbers and to his surprise, the circled numbers tended to line upalong diagonal lines.
Numbers from 1 to 50 placed in spiral order.
Prime numbers tended to line up along diagonal lines.
Posted by Andrew Crane
Comments [0]
Amicable Pair
Canvas, cement, varnish, paint, 60" x 48" – 2005
Amicable Numbers are numbers whose factors add up to the other number in the pair. They are quite rare, though not as rare as Perfect Numbers. Like the idea that two numbers can be friends.
A little more (from Wikipedia).....
Amicable numbers are two different numbers so related that the sum of the proper divisors of one of the numbers is equal to the other. (A proper divisor of a number is a positive integer divisor other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of amicable numbers constitutes an aliquot sequence of period 2.
A related concept is that of a perfect number, which is a number which equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1.
For example, the smallest pair of amicable numbers is (220, 284); for the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71, and 142, of which the sum is 220.
Amicable numbers were known to the Pythagoreans, who credited them with many mystical properties.
Love to you Pythagoras (and Wikipedia) x
Posted by Andrew Crane
Comments [1]
Observer
Oil on canvas, 60" x 48" – 2007
The little i, thinks it knows the answer
The Big I, watches the little i
and....as if by magic ~
all the answers come.
Posted by Andrew Crane
Comments [0]
Re-mind
Re-member = to gather ones members back together through the mind
Posted by Andrew Crane
Comments [7]
Comments [4]