English: This diagram shows the root system of type G2. Two simple roots are chosen; positive roots then appear as red dots, and negative roots as blue squares.
Shown are the hyperplanes of the form for a root, the hyperplane perpendicular to , and n an integer. These cut the plane into right angled triangles, with fundamental chamber . The walls of this chamber correspond to the fundamental affine roots where for the highest root, and where are a set of simple roots (here ).
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Français : Ce diagramme représente le système de racines de type G2. Deux racines simples et ont été choisies; les racines positives apparaissant alors comme points rouges, et les racines négatives comme carrés bleux.
Apparaissent aussi les hyperplans pour une racine, l'hyperplan perpendiculaire à , et n un entier. Ceux-ci découpent le plan en triangles rectangles, avec chambre fondamentale . Les murs de cette chambre correspondent aux racines affines fondamentales , où pour la plus grande racine, et où forment l'ensemble de racines simples (ici ).
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