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3D Graphing and Transformations

3D Graphing and Transformations
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2017-04-25 00:31
FunctionCoordinate GeometrySolid GeometryGraphing
This example demonstrates the plotting and transformation of graphs in 3D space, focusing on polygons and function graphs. Key math concepts include function graphs, similarity transformations, coordinate geometry, and solid geometry. Construction highlights involve commands like Point, Polygon, and Sliders. Suitable for high school and above students to explore properties and transformations of 3D graphs.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → D
  3. Polygon(A, B, C, D) → poly1, a, b, c, d
  4. Polygon(B, E, F, G) → poly2, b_1, e, f, g
  5. Polygon(E, C, H, I) → poly3, e_1, c_1, h, i
  6. Polygon(I, H, C, E) → poly4, i_1, h_1, c_2, e_2
  7. Polygon(E, B, G) → poly5, g_1, e_3, b_2
  8. Polygon(E, F, G) → poly6, g_2, e_4, f_1
  9. Polygon(B, F, E) → poly7, e_5, b_3, f_2
  10. Polygon(F, G, B) → poly8, b_4, f_3, g_3

AI Drawing Prompt Reference

Create a 3D shape consisting of eight triangles and parallelograms using points A, D, E, and B. Start by placing points A and D on the x-axis, then connect these points to form four parallelograms and four triangles, ensuring all shapes are correctly positioned in 3D space.
The prompt above was compiled from the original drawing commands and is for reference only.