I was initially interested in aperiodic sampling for signals to address the problem of aliasing in the frequency domain. A design like Penrose tiling in 2D (which is non-repeating) can be very interesting. I do not have any references or haven't done any real work on it, but I was also a bit clueless about where to search for some rules with which I can project the 2D tiling into a 1D sampling (if possible with irrational sampling instances to increase the so-called Nyquist limit farther away). Is there any rules which I can use directly; like for example, projecting the vertices onto a straight line?
2026-03-25 10:21:55.1774434115
An one dimensional sampling version of Penrose tiles in 2D
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