Simple Example with Six Points
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Potential Pareto Optimality
This example demonstrates the relationships between six points. Key mathematical concepts include point sets, vectors, and polygons. Using GeoGebra commands such as Vector and Polygon, the geometric relationships between these points can be constructed. Suitable for students at the junior high school level and above for geometric construction.
GeoGebra Commands & Parameters
Vector(F1, F1a) → s1AVector(F2, F2a) → s2APolygon(UR, P1R, F1a, P1U) → q1, p3a, p1r, p1a, p1uPolygon(UR, P2R, F2a, P2U) → q2, ur_1, p2r, p2a, p2uDomZone(F_3, s3, α_1, α_2, UR) → F3a, s3A, q3DomZone(F_4, s4, α_1, α_2, UR) → F4a, u, q4DomZone(F_5, s5, α_1, α_2, UR) → F5a, v, q5DomZone(F_6, s5, α_1, α_2, UR) → F6a, w, q6
AI Drawing Prompt Reference
Draw a simple figure with six points connected by vectors and polygons. First, create two points F1 and F2, then draw two vectors F1a and F2a from these points. Next, use point UR and vectors F1a, P1U, P1R to draw a quadrilateral, and use point UR, F2a, P2U, P2R to draw another quadrilateral. Finally, use points F3, F4, F5, and F6, along with angles α1, α2, and UR, to draw three zones, each containing a point and a quadrilateral.
The prompt above was compiled from the original drawing commands and is for reference only.