Six Slices of a Peano Surface

①This example demonstrates six cross-sectional slices of a Peano surface, a space-filling surface, by rotating and intersecting paths, revealing how the surface appears when cut by different planes. ②Core mathematical concepts include Peano curves/surfaces, space-filling properties, intersections of surfaces with planes, and potential connections to probability/statistics with random variables and natural numbers in parameterization. ③Construction highlights: using GeoGebra's Rotate command to rotate the surface or related objects, and IntersectPath to generate intersection curves between the surface and cutting planes; objects include a (likely rotation angle), n (number of slices), p (parameter), and eq1 (surface equation). ④Suitable for high school to university-level mathematics, especially for spatial analytic geometry, topology introduction, or mathematical visualization, helping learners understand cross-sections and spatial structure of complex surfaces.