# Fill in the letter cycles

ITM . NDR . EAU . ULT . TEN . TDP . YMH . RYI . SHM . PED . ODP . HIT . AKL . NPT . UKT . UTS . ESA . PRT . DOR . YMT

Fill each of the empty circles above with a unique letter. Each of the three letter groups represents the order you would encounter these letters going around one of the heptagons clockwise. For example, ITM means going clockwise around one of the heptagons, after you hit I, you will hit T before you hit M. Once all of the letters are filled, the dotted spiral will spell out one final word. What is that word?

The final word is

REST

The picture:

My strategy:

First identify which letters are in the heptagon containing M.
Then identitfy which ones are in the three common circles with other heptagons.
After that, one can determine the four circles in that heptagon using the clues.
Then use the same strategy to separate other letters into the remaining two heptagons, find which ones are in the common circles, finally use the clues to fill each one.

Quite straightforward, but nice puzzle!

• Wow. That was way faster than I expected. Good job. :) Commented Aug 16, 2020 at 22:17