Complex Numbers mod and Equilateral Triangle Dynamic Construction

① This GeoGebra example dynamically demonstrates the geometric meaning of the modulus of complex numbers, and constructs an equilateral triangle using complex operations, visually showing the relationship between modulus, argument, and complex multiplication. ② Core mathematical concepts include complex modulus, argument, complex multiplication as rotation and scaling, properties of equilateral triangles, and point loci on circles. ③ Construction details: uses Intersect command to find intersection points, Segment to draw sides, Angle to measure angles; objects include complex numbers z₁, z₂ with moduli r₁, r₂ and arguments θ₁, θ₂, constructing z₃, z₄, and using circles and dilation transformations, with sliders h, a, b for parameter control, and text objects text1, text2, text3 to display numerical results. ④ Suitable for high school or early college students learning geometric interpretation of complex numbers, complex arithmetic, and geometric construction; also useful for classroom demonstrations or self-exploration of the connection between complex modulus and equilateral triangles.