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3D Implicit Surface Grapher: Atomic Orbitals

3D Implicit Surface Grapher: Atomic Orbitals
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2014-12-31 20:25
FunctionTrigonometryCoordinate GeometrySolid GeometryCalculus
This example demonstrates how to graph 3D atomic orbitals using predefined implicit functions. Key math concepts include implicit functions, 3D analytical geometry, trigonometric functions, and hypergeometric distribution. GeoGebra commands and objects used in the construction summary are Textfield, objects (g, Nn, etc.), buttons, and text boxes for inputting formulas, setting parameter ranges, and generating graphs. Suitable for high school students and above or math enthusiasts studying 3D graphing and atomic physics.

GeoGebra Commands & Parameters

  1. Textfield(x_{min}) → Textfeld1
  2. Textfield(y_{min}) → Textfeld2
  3. Textfield(z_{min}) → Textfeld3
  4. Textfield(x_{max}) → Textfeld4
  5. Textfield(y_{max}) → Textfeld5
  6. Textfield(z_{max}) → Textfeld6
  7. Textfield(Nn) → Textfeld10
  8. Textfield(g) → Textfeld13
  9. Textfield(b) → inputBox1

AI Drawing Prompt Reference

Create a 3D implicit surface graph to visualize atomic orbitals, inputting the minimum and maximum values for x, y, and z to set the display range, and parameters Nn, g, and b to define the orbital equations, generating a 3D graph suitable for those studying 3D analytical geometry and trigonometric functions.
The prompt above was compiled from the original drawing commands and is for reference only.