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Pi






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Traditional Notation









Constants > Pi > Visualizations





2D plots based on the base b digits (1306 graphics)


Digits

Plots of the first 1000 digits of in various bases .

Cumulative digit counts

Plots of cumulative counts of occurrences of the digit among the first 1000 digits of in various bases .

Plots of the deviation of the cumulative counts of occurrences of the digit from the average among the first 1000 digits of in various bases .

Digit averages and moments

Cumulative sum of the deviations from the average of the digit sums of the first 10000 digits of for various bases .

Cumulative sum of the digit sums of the first 10000 digits of for various bases .

Logarithm of the cumulative sum of the moments of the deviations of the digits from the average of the first 1000 digits of for various bases .

Iterated averaged cumulative sums , of the digits of where in various bases .

Nested differences, sums, products, and quotients

Iterated pairwise sums (left) and differences (right) modulo 2 starting with the first 200 digits of in various bases .

Integer parts of the logarithm of the iterated pairwise products (left) and quotients (right) starting with the first 32 digits of in various bases .

Minima and maxima of the scaled iterated pairwise differences starting with the first 2000 scaled digits of in various bases . At each step , the paiwise differences are formed and the results are rescaled via

Cellular automata plots