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Myriagon
In geometry, a myriagon is a polygon with 10000 sides or 10000-gon. Several philosophers have used the regular myriagon to illustrate issues regarding thought.〔Meditation VI by Descartes (English translation).〕〔(Hippolyte Taine, ''On Intelligence'' ): pp. 9–10〕〔(Jacques Maritain, ''An Introduction to Philosophy'' ): p. 108〕〔(Alan Nelson (ed.), ''A Companion to Rationalism'' ): p. 285〕〔(Paolo Fabiani, ''The philosophy of the imagination in Vico and Malebranche'' ): p. 222〕 == Regular myriagon== A regular myriagon is represented by Schläfli symbol and can be constructed as a truncated 5000-gon, t, or a twice-truncated 2500-gon, tt, or a thrice-truncaed 1250-gon, ttt Because 10000 = 24 × 54, the number of sides is neither a product of distinct Fermat primes nor a power of two. Thus the regular myriagon is not a constructible polygon. Indeed, it is not even constructible with the use of neusis or an angle trisector, as the number of sides is neither a product of distinct Pierpont primes, nor a product of powers of two and three.
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