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Prism Net Demonstration

Prism Net Demonstration
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2017-12-22 21:58
PolygonSolid GeometryMatrixGeometric Construction
In collections Mathematics Form 2
This example demonstrates the net of a prism, illustrating its geometric properties and symmetries. It involves core math concepts like solid geometry, polygons, and matrix operations. Constructed using GeoGebra commands like SelectedIndex, If, Sequence, Polygon, Prism, and Net, it is suitable for high school students and math enthusiasts exploring spatial geometry and composite shapes.

GeoGebra Commands & Parameters

  1. SelectedIndex(Bahasa) → nn
  2. If(nn ≟ 1, {"Triangular", "Quadrilateral", "Pentagonal"}, {"Segi tiga", "Sisi empat", "Pentagon"}) → BilSisi
  3. SelectedIndex(BilSisi) → n
  4. Sequence(Rotate[A, ((t * 120))°, zAxis], t, 1, 2) → LTri
  5. Sequence(Rotate[A, ((t * 90))°, zAxis], t, 1, 3) → LQuad
  6. Sequence(Rotate[A, ((t * 72))°, zAxis], t, 1, 4) → LPen
  7. Polygon(A, B, C) → poly1, c, a, b_4
  8. Prism(poly1, 4.285904808998493) → d, O, edgeCQ, edgeOP, edgePQ, edgeOQ, P, Q, faceABPO, faceBCQP, faceACQO, faceOPQ, edgeAO, edgeBP
  9. Polygon(A, B, C, D) → poly2, a_{35}, b_5, c_1, d_1
  10. Polygon(A, B, C, D, E) → poly3, a_{36}, b_6, c_2, d_2, e_1
  11. Net(d, b) → b_1, R, H_1, face6, face7, face8, face9, face10, edge13, edge14, edge15, edge16, S, edge17, edge18, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge26, T, U, V, W, Z, A_1, B_1
  12. Prism(poly2, 3.6345952622693622) → f, R_1, edge36, edge37, edge38, edge39, edge40, edge42, edge43, edge41, S_1, T_1, U_1, face15, face17, face18, face16, face19
  13. Net(f, b) → b_2, V_1, H_2, I_2, J_2, K_2, L_2, face20, face21, face22, face23, face24, W_1, face25, edge44, edge45, edge46, edge47, edge48, edge49, edge50, edge51, edge52, Z_1, edge53, edge54, edge55, edge56, edge57, edge58, edge59, edge60, edge61, edge62, A_2, B_2, C_2, E_2, F_2, G_2
  14. Prism(poly3, 3.643982932330338) → o, M_2, face27, face31, edge63, edge64, edge65, edge66, edge67, edge68, edge70, edge71, N_2, edge72, edge69, O_2, P_2, Q_2, face26, face28, face29, face30
  15. Net(o, b) → b_3, R_2, C_3, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, face32, S_2, face33, face34, face35, face36, face37, face38, edge73, edge74, edge75, edge76, T_2, edge77, edge78, edge79, edge80, edge81, edge82, edge83, edge84, edge85, edge86, U_2, edge87, edge88, edge89, edge90, edge91, edge92, edge93, edge94, edge95, edge96, V_2, W_2, Z_2, A_3, B_3

AI Drawing Prompt Reference

Draw the net of a prism to illustrate its geometric properties and symmetries. Start by constructing a polygonal base, extend it vertically to form the prism, and then unfold the prism into a flat shape consisting of interconnected polygonal faces, showcasing its spatial structure and symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.