Finde möglichst viele Gleichungen zu Ebenen, die im Bild sichtbar sind.[br](Die Stäbe sind immer abwechselnd Schwarz-Weiß-Schwarz-Weiß und Weiß-Schwarz-Weiß-Schwarz gestapelt.)
Gib die Gleichung derjenigen (weißen) Ebene ein, die unten links "beginnt" und dann nach rechts hin schräg nach oben geht:[br][img]data:image/png;base64,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[/img][br]Die Kugel unten links kann dabei als Ursprung (0 | 0 | 0) angesehen werden.
Gib hier eine oder mehrere Gleichungen ein, die zu mindestens 3 schwarzen Kugeln passen.[br]Die Kugel unten links kann dabei als Ursprung [math](0|0|0)[/math] angesehen werden.
z.B. [math]x+y-z=1[/math] oder auch [math]x+y+z=1[/math][br]Es gibt sehr viele andere!
Durch welche geometrische Eigenschaft lassen die Ebenen, die hier gesucht sind, klassifizieren?
Es sind Klassen paralleler Ebenen.
Gib an, wie die geometrische Eigenschaft gleicher Klassen algebraisch sichtbar wird.
Gleiche Koeffizienten von [math]x[/math], [math]y[/math] und [math]z[/math]