Strip Mind (solution)
by Patrick Blindauer
Puzzle is really a Mobius strip crossword whose theme contains instructions for forming the strip and extracting the answer.
The instructions say:
GLUEBOTHGRIDSBACKTOBACKANDTHENTAPEONEENDTOTHEOTHERWITH AHALFTWISTTHENUSESCISSORSTOCUTONTHELINEBELOWTHISANSWER NOWYOUHAVETWOLOOPSFINDTHEMATCHINGLETTERSINTHEMIDDLEROW OFBOTHLOOPSNOTETHATTHESMALLEROFTHELOOPSWILLBEUSEDTWICE
Comparing the central row of the little loop and the big loop (which is twice as big) reveals 20 letters in common. These letters spell out the answer: CARDINAL JULES MAZARIN