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File:Omega-exp-omega.svg

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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 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.
English: C++ program included in the XML source. This spiral represents all ordinal numbers less than ωω. 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 ωω. 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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