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Pyramid from Prisms

Pyramid from Prisms
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2020-10-27 04:12
SequenceSolid GeometryGeometric Construction
This example demonstrates how to generate a pyramid from prisms. Key mathematical concepts include solid geometry and geometric construction. Using the GeoGebra command Sequence, users can dynamically build prisms and observe their transformation into a pyramid. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. Sequence((((n - i) * a / n), 0, (i * h / n)), i, 0, n) → list2
  2. Sequence((0, ((n - i) * a / n), (i * h / n)), i, 0, n) → list1
  3. Sequence((((-(n - i)) * a / n), 0, (i * h / n)), i, 0, n) → list3
  4. Sequence((0, ((-(n - i)) * a / n), (i * h / n)), i, 0, n) → list4
  5. Sequence(Polygon[Element[list2, i], Element[list1, i], Element[list3, i], Element[list4, i]], i, 1, n) → list5
  6. Sequence(Prism[Element[list5, i], h / n], i, 1, n) → list6

AI Drawing Prompt Reference

Draw a pyramid formed by stacking multiple horizontal square prisms. Start with a square base, and layer by layer, each prism has a smaller square cross-section and a higher position, with the side length decreasing uniformly and the height increasing uniformly. Stack these prisms from bottom to top, each layer centered and shrinking, creating a stepped pyramid shape. The overall form is a four-sided pyramid composed of thin prism layers, illustrating the transition from prisms to a pyramid.
The prompt above was compiled from the original drawing commands and is for reference only.