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Regular Pyramid Model

Regular Pyramid Model
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2016-03-27 13:11
CirclePolygonSolid Geometry
In collections Geometry - Area & Volume
This example demonstrates the construction of a regular pyramid. Key mathematical concepts include regular polygons, circles, angles, and solid geometry. Using GeoGebra commands such as Point, Segment, Polygon, and Pyramid, it dynamically shows the faces and height of the regular pyramid. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Point(a_1) → B
  2. Sequence(Rotate[B, ((2 * π / sides) * i), A], i, 0, sides) → list1
  3. Sequence(Segment[Element[list1, i], Element[list1, i + 1]], i, 0, sides) → list2
  4. Midpoint(Element[list2, 2]) → C
  5. Segment(A, C) → a
  6. Segment(A, B) → r
  7. Angle(A, C, B) → α
  8. Polygon(list1) → poly1
  9. Segment(A, D) → c
  10. Segment(C, D) → l
  11. Angle(D, A, B) → β
  12. Segment(B, D) → ed
  13. Polygon(A, B, D) → poly2, d_1, a_2, b_1
  14. Angle(B, A, D) → γ
  15. Angle(D, A, C) → δ
  16. Polygon(A, D, C) → poly3, c_1, a_3, d_2
  17. Pyramid(poly1, D) → i, face1, face11, face100, face101, face102, face103, face104, face105, face106, face107, face108, face109, face2, face110, face111, face112, face113, face114, face115, face116, face117, face118, face119, face12, face120, face121, face122, face123, face124, face125, face126, face127, face128, face129, face13, face130, face131, face132, face133, face134, face135, face136, face137, face138, face139, face14, face140, face141, face142, face143, face144, face145, face146, face147, face148, face149, face15, face150, face151, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, face16, edge9, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, edge18, face17, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge26, edge27, edge28, face18, edge29, edge30, edge31, edge32, edge33, edge34, edge35, edge36, edge37, edge38, face19, edge39, edge40, edge41, edge42, edge43, edge44, edge45, edge46, edge47, edge48, face3, face20, edge49, edge50, edge51, edge52, edge53, edge54, edge55, edge56, edge57, edge58, face21, edge59, edge60, edge61, edge62, edge63, edge64, edge65, edge66, edge67, edge68, face22, edge69, edge70, edge71, edge72, edge73, edge74, edge75, edge76, edge77, edge78, face23, edge79, edge80, edge81, edge82, edge83, edge84, edge85, edge86, edge87, edge88, face24, edge89, edge90, edge91, edge92, edge93, edge94, edge95, edge96, edge97, edge98, face25, edge99, edge100, edge101, edge102, edge103, edge104, edge105, edge106, edge107, edge108, face26, edge109, edge110, edge111, edge112, edge113, edge114, edge115, edge116, edge117, edge118, face27, edge119, edge120, edge121, edge122, edge123, edge124, edge125, edge126, edge127, edge128, face28, edge129, edge130, edge131, edge132, edge133, edge134, edge135, edge136, edge137, edge138, face29, edge139, edge140, edge141, edge142, edge143, edge144, edge145, edge146, edge147, edge148, face4, face30, edge149, edge150, edge151, face31, face32, face33, face34, face35, face36, face37, face38, face39, face5, face40, face41, face42, face43, face44, face45, face46, face47, face48, face49, face6, face50, face51, face52, face53, face54, face55, face56, face57, face58, face59, face7, face60, face61, face62, face63, face64, face65, face66, face67, face68, face69, face8, face70, face71, face72, face73, face74, face75, face76, face77, face78, face79, face9, face80, face81, face82, face83, face84, face85, face86, face87, face88, face89, face10, face90, face91, face92, face93, face94, face95, face96, face97, face98, face99