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Modeling Natural Shells

Modeling Natural Shells
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2018-12-11 02:31
FunctionCoordinate GeometryGeometric Construction
In collections surface 3D /3D-Oberflächen 1
This example models natural shells, involving concepts such as ellipses, equations, functions, and matrices. Using GeoGebra commands like Surface and CurveCartesian, various shell shapes can be constructed. Suitable for high school and above students or teachers for teaching geometric construction and function graphing.

GeoGebra Commands & Parameters

  1. Surface(((((r * ℯ^((f * u))) * (d + (a * cos(v)))) * cos((c * u))), (((r * ℯ^((f * u))) * (d + (a * cos(v)))) * sin((c * u))), h + ((r * ℯ^((f * u))) * ((-1.4 * e) + (b * sin(v))))), u, u1, u2, v, v1, v2) → g
  2. CurveCartesian((((r * ℯ^((f * t))) * (d + (a * cos(v)))) * cos((c * t))), (((r * ℯ^((f * t))) * (d + (a * cos(v)))) * sin((c * t))), h + ((r * ℯ^((f * t))) * ((-1.4 * e) + (b * sin(v)))), v, v1, v2) → i