Pi to 6415 Decimal Places
What it is really , Saturday Self Challenge for week ending is for
" Numbers " ! With that in mind , how about one of the most intriguing numbers in mathematics -- 22 ÷ 7 = pi , and because it cannot be dived exactly it ends up being an unending series of infinite numbers . Here is a page showing pi with 6415 decimal places which is a drop in the ocean to what has been calculated thus far which runs well into the trillions !!
The number π (/paɪ/; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as
22
7
Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only finite sums, products, powers, and integers. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of π appear to be randomly distributed, but no proof of this conjecture has been found.
Therefore here is my display of pi and with a pie overlaid with reduced opacity , just because we had a pie !! As Jan was talking about bokeh , the background is a number of upturned soup tins taken out of focus to create a bokeh effect .
Now after all that heavy duty mathematics here is something to blow the cobwebs off -----------
Pi to 6415 Decimal Places
What it is really , Saturday Self Challenge for week ending is for
" Numbers " ! With that in mind , how about one of the most intriguing numbers in mathematics -- 22 ÷ 7 = pi , and because it cannot be dived exactly it ends up being an unending series of infinite numbers . Here is a page showing pi with 6415 decimal places which is a drop in the ocean to what has been calculated thus far which runs well into the trillions !!
The number π (/paɪ/; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as
22
7
Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only finite sums, products, powers, and integers. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of π appear to be randomly distributed, but no proof of this conjecture has been found.
Therefore here is my display of pi and with a pie overlaid with reduced opacity , just because we had a pie !! As Jan was talking about bokeh , the background is a number of upturned soup tins taken out of focus to create a bokeh effect .
Now after all that heavy duty mathematics here is something to blow the cobwebs off -----------