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Spiral representation of ordinal numbers up to omega^omega
This spiral represents all ordinal numbers less than omega^omega. The first round of the spiral represents the finite ordinals, i.e. 1, 2, 3, 4, etc. The second round is the ordinal of the form omega*m + n, therefore omega, omega+1, omega+2, etc., omega*2, omega*2+1, omega*2+2, etc., omega*3, omega*3+1, etc., omega*4, etc. etc. Then the third round is the ordinal of the form omega^2*m + omega*n + p, and so on; each turn of the spiral represents a power of omega.