Hot Air Balloon Model

GeoGebra Commands & Parameters

1. Point(zAxis) → A
2. Surface(x(A) + (cos(u) * sin(v)), y(A) + (sin(u) * sin(v)), z(A) + cos(v), u, 0, (2 * π), v, 0, q) → a
3. Point(zAxis) → B
4. Sphere(A, 1) → b
5. OrthogonalPlane(B, zAxis) → p
6. IntersectPath(p, b) → c
7. Point(c) → C
8. Point(yAxis) → D
9. Point(c) → E
10. Segment(E, D) → f
11. Intersect(zAxis, yAxis) → F
12. Circle(F, D, xOyPlane) → e
13. Point(Circle[G, Distance[H, G], Segment[H, G]]) → K
14. Cube(H, G, K) → g, L, faceKLPO, faceMNOP, edgeHL, edgeGH, edgeGK, edgeKL, edgeHM, edgeLP, edgeMP, edgeMN, M, edgeGN, edgeNO, edgeKO, edgeOP, N, O, P, faceGHLK, faceHLPM, faceGHMN, faceGKON
15. Rotate(D, -45°, zAxis) → D'
16. Rotate(D', 90°, F) → D''
17. Rotate(D'', 90°, F) → D'''
18. Segment(D', N) → h
19. Surface(f, 360°, zAxis) → d
20. Point(zAxis) → J
21. Distance(F, D) → m
22. Circle(J, 0.49, zAxis) → r
23. Line(D''', zAxis) → n
24. Point(r) → R
25. Segment(D''', R) → s
26. Surface(s, 360°, zAxis) → o
27. Rotate(R, -90°, zAxis) → R'
28. Rotate(R', -90°, zAxis) → R''
29. Rotate(R'', -90°, zAxis) → R'''
30. Segment(R', O) → i
31. Segment(R, P) → j
32. Segment(R''', M) → k
33. Segment(R'', N) → l