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Jun 4, 2020 at 22:27 comment added Yoav Kallus One thing to note as you look at the references you cited, is that usually the proportion of discs of different sizes is also perscribed, and I believe the relevant question then is whether the optimal density can always be achieved by a mixture of one or more periodic structures.
Jun 4, 2020 at 21:45 history edited James Propp CC BY-SA 4.0
I found relevant literature
Jun 4, 2020 at 21:42 comment added James Propp I mean aperiodic (like a Penrose tiling), as opposed to nonperiodic (like a hexagonal close-packing of unit disks with tiny disks of radius 1/100 rattling around in the interstices in a nonperiodic fashion).
Jun 4, 2020 at 16:21 comment added Timothy Chow Just checking...do you really mean aperiodic or do you perhaps mean non-periodic?
Jun 2, 2020 at 18:16 comment added Josiah Park +1. It's interesting whether this can happen even for only two different radii.
Jun 2, 2020 at 16:53 history edited James Propp CC BY-SA 4.0
Enlarged question
Jun 2, 2020 at 16:40 history asked James Propp CC BY-SA 4.0