In geometry, a chiliagon (pronounced /ˈkɪli.əɡɒn/) is a polygon with 1000 sides. Several philosophers have used it to illustrate issues regarding thought.

The measure of each internal angle in a regular chiliagon is 179.64°. The area of a regular chiliagon with sides of length a is given by

This result differs from the area of its circumscribed circle by less than 0.0004%.

Because 1000 = 2³ × 5³, the number of sides is neither a product of distinct Fermat primes nor a power of two. Thus the regular chiliagon is not a constructible polygon.

René Descartes uses the chiliagon as an example in his Sixth meditation to demonstrate the difference between pure intellection and imagination. He says that, when one thinks of a chiliagon, he "does not imagine the thousand sides or see them as if they were present" before him – as he does when one imagines a triangle, for example. The imagination constructs a "confused representation," which is no different from that which it constructs of a myriagon. However, he does clearly understand what a chiliagon is, just as he understands what a triangle is, and he is able to distinguish it from a myriagon. Therefore, the intellect is not dependent on imagination, Descartes claims, as it is able to entertain clear and distinct ideas when imagination is unable to. Philosopher Pierre Gassendi, a contemporary of Descartes, was critical of this interpretation, believing that while Descartes could imagine a chiliagon, he could not understand it: one could "perceive that the word 'chiliagon' signifies a figure with a thousand angles [but] that is just the meaning of the term, and it does not follow that you understand the thousand angles of the figure any better than you imagine them."

YC the Cynic (born Matthew Jefferson, November 21, 1990) is an American hip hop artist from Hunts Point, Bronx, New York. He has released two mixtapes, You're Welcome (2010) and Fall FWD (2011), both of which were highly regarded by critics. He was named one of the "Top 5 Underground Hip-Hop Artists in New York" by Deli Magazine (2010) and was ordained "DXNext" by the hip hop website HipHopDX.com (2011). Hailing from the birthplace of hip hop, YC talks openly about his sense of responsibility to the art form: “it feels like there’s a void in the Bronx, and I don’t necessarily feel like I have to fill it, but I feel like I could."

YC has released two mixtapes: You're Welcome (February 2010) and Fall FWD (March 2011).

You're Welcome (2010)

Released on February 9, 2010, You're Welcome is YC The Cynic's musical debut. Featuring mostly covers of 1990s classics, You're Welcome was an act of homage to those that paved the way for him. Justin Hunte of BrooklynBodega described You're Welcome as being “loaded with personality, slick wordplay, pristine beat selection, and lyricism beyond his years.” Manny Faces of Birthplace Magazine said "lyrically, YC is intelligent and rocks with diction. He enunciates well, emitting just the right amount of emotion for each track, while skillfully staying on message." DJBooth.net declared “YC’s heavily-alliterated, elaborately-rhymed flows are undeniably dope.”You're Welcome served as a great look into the talent and potential of the up and coming emcee.