Helicoid Transformation

Helicoid Transformation
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2016-11-01 17:50
This example demonstrates the transformation of a helicoid. It involves the geometric properties and transformations of a helicoid. Users can adjust parameters t and a using the Surface command to observe changes in the helicoid. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Surface(((cos(t) * sinh(v)) * sin(u)) + ((sin(t) * cosh(v)) * cos(u)), (((-cos(t)) * sinh(v)) * cos(u)) + ((sin(t) * cosh(v)) * sin(u)), (u * cos(t)) + (v * sin(t)), u, (-π), π, v, -1.5, 1.5) → a

AI Drawing Prompt Reference

Draw a helicoid by adjusting parameters t and a to observe its transformation, defined by a 3D coordinate function involving geometric properties and transformations, suitable for high school mathematics education.
The prompt above was compiled from the original drawing commands and is for reference only.