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Over the digit-base plane 3D plot of the first 200 digits  of  in various bases  . Density plot of the digits  of  in various bases  . The gray level of the squares is  . Density plot of the digits  of  in various noninteger bases  . The gray level of the squares is  . Density plot of cumulative sums modulo 2 of the digits  of  in various noninteger bases  . Digit averages and cumulative sums Density plot of the average values  of the digits  of  for various bases  . Density plot of the iterated cumulative sums  ,  of the digits  of  modulo  for various bases  . 3D plots of the iterated averages  ,  ,  odd (and a similar definition for  even) of the digits  of  for  and  for various bases  . No values are displayed in the right front corner because the initial digit sequence starts at  and so does not allow to form symmetric average. For increasing iteration number  , the averages approach  . Fourier series Exponential Fourier series  ,  over the  , ‐plane. Here the  are the digits of  for various bases  . Pascal triangle modular plots Density plot of the digits  of  for various bases  . The first  digits are extracted and arranged in a triangle and colored according to their value and their value modulo 2 and 3. Power series plots The function  where the digits  are  . 3D plots of the power series  for various bases  . Here,  is the  th digit of  in base  . The left graphic shows the real part and the coloring is according to the imaginary part. The right graphic shows a contour plot of the argument over the complex plane and the coloring is cyclic. Density plots of coefficients of  of the power series  for various bases  . Here,  is the  th digit of  in base  ,  . The left graphic shows the coefficients modulo 2 and the right graphic shows the coefficients modulo  Density plots of coefficients of  of the power series  for various bases  . Here,  is the  th digit of  in base  ,  . The left graphic shows the logarithm of the coefficients and the right graphic shows the fractional parts of the coefficients.
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