The points are the set
, which is the
approximation of the fractional parts of all the numbers in the base
system with
digits,
,
. (Integer parts (
) are suppressed because the result would be almost the same.)
Use the locator to change
.
The controls on the left let you control
manually, set its absolute value or angle, or choose the number of digits
and levels
.
You can see how the convex hull is constructed by selecting the number of supporting lines, which also displays its area and the length of the circumference. The next slider lets you choose one of the periodic cases and see the equation for
and the Hausdorff dimension of the boundary.
Finally, you can choose to draw lines to the origin or to the center of symmetry, choose the size of points, specify the number of most important digits to be distinguished by colors, manipulate the visible range, or turn the axes on and off.
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