Tilek's Bloch Sphere
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This example demonstrates the geometric construction and transformations of a Bloch sphere. It involves core mathematical concepts such as sphere, quadratic equations, geometric transformations, fractions, natural numbers, and pyramid. The construction uses GeoGebra commands like Intersect, Sphere, and IntersectPath, along with objects like Center, a, UP, c, OUT, IN, RIGHT, LEFT, DOWN, A, B, C, D. It is suitable for high school and above learners to understand geometric representations in advanced mathematics like complex and quaternions.
GeoGebra Commands & Parameters
Intersect(yAxis, xAxis) → CenterSphere(Center, 1) → aIntersect(zAxis, a, 2) → UPIntersectPath(xOyPlane, a) → cIntersect(xAxis, c) → OUT, INIntersect(yAxis, c) → RIGHT, LEFTIntersect(zAxis, a, 1) → DOWNIntersect(1, 1) →Intersect(1, 0.5) →