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Let's define "snowflakey" pattern as

  1. Regular polygon
  2. surrounded by other regular polygons
  3. number of surrounding polygons equals to a number of angles of polygon in the middle

Here are two groups of snowflakeys:

enter image description here

Each snowflakey in the left group I consider "pretty" and each snowflakey in the right group I consider "not pretty".

What is "pretty" snowflakey? Would I consider pretty all snowflakies on the right side taken together?

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  • $\begingroup$ Hi! It's my first contribution to puzzling stackexchange. It's intended for my D&D table, but I also decided to share it with you. Perhaps, it's simple by local standards - I intend to post harder version of puzzle with same idea later. $\endgroup$
    – ScalewingedAcidicorn
    Commented Apr 16, 2022 at 10:54
  • $\begingroup$ What is the puzzle here - to figure out the criteria for being "pretty"? $\endgroup$
    – Rand al'Thor
    Commented Apr 16, 2022 at 12:20
  • $\begingroup$ Yes. Rephrased text to be more clear. $\endgroup$
    – ScalewingedAcidicorn
    Commented Apr 16, 2022 at 12:40

1 Answer 1

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It seems that a pretty snowflake is...

One where the total number of sides is a multiple of four

... and that if we consider all of the snowflakes on the right...

They are pretty as there is a total of 144 sides.

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  • $\begingroup$ Yep, that's correct $\endgroup$
    – ScalewingedAcidicorn
    Commented Apr 16, 2022 at 13:34
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    $\begingroup$ Some observations that might be fun: any snowflakey where the outer shapes are triangles/heptagons etc. is pretty. Any snowflakey where the inner shape is a quadrilateral/octagon etc. is pretty. $\endgroup$
    – Daniel S
    Commented Apr 16, 2022 at 13:42

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