File:Omega-exp-omega.svg

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Summary

Description	Omega-exp-omega.svg Français : Programme C++ inclus dans le source XML. Ce spirale réprésente tous les ordinaux inférieurs à omega^omega. Le premier tour de la spirale réprésente les ordinaux finis, c'est à dire 1, 2, 3, 4, etc. Le deuxième tour représente les ordinaux de la forme omegam + n, donc omega, omega+1, omega+2, etc., omega2, omega2+1, omega2+2, etc., omega3, omega3+1, etc., omega4, etc. etc. Ensuite le troisième tour représente les ordinaux de la forme omega^2m + omegan + p, et ainsi de suite; chaque tour de la spirale représente une puissance d'omega. English:* C++ program included in the XML source. This spiral represents all ordinal numbers less than ω^ω. 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 ω·m+n, therefore ω, ω+1, ω+2, etc., ω·2, ω·2+1, ω·2+2, etc., ω·3, ω·3+1, etc., ω·4, etc. etc. Then the third round is the ordinal of the form ω²·m+omega·n+p, and so on; each turn of the spiral represents a power of omega. Română: Programul C++ inclus în sursa XML. Această spirală reprezintă toate numeralele ordinale mai mici ca ω^ω. Prima rotaţie a spiralei reprezintă numeralele ordinale finite, acestea sunt 1, 2, 3, 4, etc. A doua rotaţie a spiralei reprezintă numeralele ordinale cu formula ω·m+n, deci ω, ω+1, ω+2, etc., ω·2, ω·2+1, ω·2+2, etc., ω·3, ω·3+1, etc., ω·4, etc. etc. A treia rotaţie a spiralei reprezintă numeralele ordinale cu formula ω²·m+ω·n+p, şi aşa mai departe; fiecare rotaţie a spiralei reprezintă o putere a lui omega ω.
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Short title

Réprésentation graphique des ordinaux jusqu'à omega^omega

Image title

Ce spirale réprésente tous les ordinaux inférieurs à omega^omega. Le premier tour de la spirale réprésente les ordinaux finis, c'est à dire 1, 2, 3, 4, etc. Le deuxième tour représente les ordinaux de la forme omega*m + n, donc 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. Ensuite le troisième tour représente les ordinaux de la forme omega^2*m + omega*n + p, et ainsi de suite; chaque tour de la spirale représente une puissance d'omega.

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