Pyramid Geometric Construction and Properties

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → D
3. Polygon(A, B, C, D) → poly1, a, b, c, d
4. Point(b) → F
5. Polygon(B, E, F) → poly2, f, b_1, e
6. Polygon(E, C, F) → poly3, f_1, e_1, c_1
7. Rotate(B, triangle1, B) → B'
8. Rotate(E, triangle1, B) → E'
9. Rotate(F, triangle1, B) → F'
10. Polygon(B', E', F') → poly2', f', b', e'
11. Rotate(E, triangle2, C) → E'_1
12. Rotate(C, triangle2, C) → C'
13. Rotate(F, triangle2, C) → F'_1
14. Polygon(E'_1, C', F'_1) → poly3', f'_1, e'_1, c'
15. Polygon(G, H, I) → poly4, i, g, h
16. Point(xAxis) → K
17. Polygon(J, I, K) → poly5, k, j, i_1
18. Polygon(L, H, K) → poly6, k_1, l, h_1
19. Point(d) → M
20. Segment(M, N) → m
21. Translate((poly4, poly5, poly6), Vector[(0, star1)]) → O
22. Translate(G, (0, star1)) → G'
23. Translate(H, (0, star1)) → H'
24. Translate(I, (0, star1)) → I'
25. Polygon(G', H', I') → poly4', i', g', h'
26. Translate(J, (0, star1)) → J'
27. Translate(I, (0, star1)) → I'_1
28. Translate(K, (0, star1)) → K'
29. Polygon(J', I'_1, K') → poly5', k', j', i'_1
30. Translate(L, (0, star1)) → L'
31. Translate(H, (0, star1)) → H'_1
32. Translate(K, (0, star1)) → K'_1
33. Polygon(L', H'_1, K'_1) → poly6', k'_1, l', h'_1