# Squaring the Circle

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start, clues

Start by solving the two sets of clues. The straight lines in the diagram correspond to the \ clues, and the circular paths correspond to the o clues.

circle clues

The o clues may look a bit strange, but they all have a key characteristic in common: they are all 12 words long. There are also 12 circles on the circular paths in the diagram.

circle clues giveaway

The o clues can be "rotated"; the first word in the clue, as given, corresponds to the letter at the top of the circle. The first word in the un-rotated clue corresponds to the first letter of the answer. If the answer to a clue should go counterclockwise, the words in the clue are given in reverse order.

first letters

Have you tried reading the first letters of the given clues?

cluephrases, cut, glue

The cluephrase from the \ clues tells you to cut along the long axis. This makes two loops. Then, the cluephrase from the o clues tells you to glue red to green. This should leave you with a rather unusual shape.

square

There is one more step needed to "square the circle"; can you find a way to "cut corners" from the unusual shape you've glued together?

final cut

Cutting along the central axis of both circles produces a square!

extraction, area

The final diagram suggests that the way to extract is to consider the original problem of squaring the circle: constructing a square and circle with equal area. There are 8 intersections highlighted.

The Ancient Greeks thought this couldn’t be done, but it turns out there’s a way to cut corners! Who figured out how to do the impossible?

(Click for full image)

"c ya" in Chartres
Unfair treatment of someone for how old they are (alt. spelling)
These ___ the droids you're looking for
Lets a fishing line fly
Old English peasant or low-ranking freeman (alt. spelling)
Number 20 rolls in D&D, briefly
Got rid of moisture
A variety of duck with a colorful head
X-CO-O-X' compound
Indispensable parts of a golfer's set
Tailed amphibians
On the leaves of this shrub native to New Zealand, there are often small translucent dots
Simple dish containing mostly raw vegetables
Theatrical moment, to an Italian
A noise made when eating ramen
Ribbon or flap used to hold something together
Type of steak

... TERRA EXPEDITION ANTARCTIC THE LED WHO OFFICER OF NAME AND TITLE NOVA...
... HAND OR LIKE SPANISH CEDAR ON THE OTHER LIKE CITRON ON ONE...
... EVENT SPORTING A DURING ACCOMPANIMENT SPOKEN OF FORM SOME PROVIDING SPECTACLE OR...
... NOT SUFFICIENTLY RESTRAINED OR ARCHAICALLY NOT IN A STATE OF GOOD HEALTH...
... GENERALLY COMMITMENTS TO ANOTHER PERSON IN CONFIDENCE DELEGATIONS OF RESPONSIBILITY OR MORE...
... LOCKED IN A PRISON OR DETENTION FACILITY TERM DESCRIBING SOMEONE WHO IS...
... UNCOOPERATIVE IN TERM ARCHAIC AUTHORITY FROM INSTRUCTIONS FOR DISDAIN WITH OR FASHION...
... EXISTING AN AGAINST OFTEN COMBATANTS UNLAWFUL FROM REBELLIONS VIOLENT POWER OR GOVERNMENT...
... RECEPTACLES LARVAE FLY BREED OR KEEP TO USE MIGHT FISHERMEN FLY THAT...
... ENROLLING IN OR ENTERING COLLEGE OR UNIVERSITY WENT THROUGH THE PROCESS OF...
... DIFFERENT OF USE MAKES THAT STRATEGY MARKETING A DESCRIBING PATHWAYS OR STREAMS...
... THAN WHAT WAS EXPECTED BRITISH SPELLING MAKES SOMETHING A LITTLE BIT STRANGER...
... ORDER HIGH MOST SEVENTH THE OF MEMBER A HIERARCHY ANGELIC CHRISTIAN IN...
... GODS THE ANGERING AVOID OR APPEASE TO ACTS VARIOUS PERFORM WHO THOSE...
... RETURN TERRITORY TO ANOTHER OF COUNTRIES OR GOVERNMENTS HAVING A TENDENCY TO...
... EARLY AN OF PARTS AS AREAS COASTAL IN USED THEY’RE SYSTEM WARNING...
... ELOPE TO WANTS PROTAGONIST THE WHICH IN NOVEL MURDOCH IRIS MARY WITH...
... NATIONS DEVELOPING FROM OFTEN GROUPS CULTURAL SMALL OF MEMBERS FOR TERM CONTESTED...