Pyramid Mobile

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2020-09-28 11:21

This example demonstrates a moving pyramid model, involving scalene triangles, expected value, surface, and volume. Using GeoGebra commands such as Polygon, PointIn, Translate, Rotate, etc., a dynamic geometric model is constructed. Suitable for middle school and above students or teachers for teaching and learning solid geometry.

GeoGebra Commands & Parameters

Polygon(B + (-2, -2), B + (2, -2), B + (2, 2), B + (-2, 2)) → poly3, e, f, g, i
PointIn(poly3) → C
Translate((0, 0, 0), Vector[B, C]) → A
Polygon(A + (-4, -4), A + (4, -4), A + (4, 4), A + (-4, 4)) → poly1, a, b, c, d
Rotate(Rotate[Translate[poly1, Vector[A, A + (0, 0, h)]], (90° * s), A + (0, 0, h), yAxis], (90° * t), A, zAxis) → poly2
Pyramid(Polygon[(-1.5, -1.25, 0), (1.5, -1.25, 0), (1.5, 1.25, 0), (-1.5, 1.25, 0)], (0, 0, 4)) → m, face1, face2, face3, face4, edge1, edge2, edge3, edge4
Rotate(D, 120°, (0, 0, 0)) → E
Polygon(D, E, 3, xOyPlane) → poly4, j, k, l, F
PointIn(poly2) → G
PointIn(poly2) → H
PointIn(poly2) → I
Plane(G, I, H) → n
IntersectPath(n, m) → poly6, poly5, r, a_1, b_1, c_1, K, L_1, O, P, J, L, p, q
Rotate(m, 0, zAxis) → m'
Rotate(m, 0, zAxis) → m'_1
OrthogonalLine(A, n) → d_1

AI Drawing Prompt Reference

Create a dynamic geometric model featuring a moving pyramid and a prism with a rhombic base. The pyramid's base consists of four scalene triangles, while the prism has a square base. Both shapes undergo rotations and translations to demonstrate movement. The pyramid's apex intersects the prism's lateral faces, forming new geometric entities. The entire model is constructed through a series of transformations and intersections, illustrating the principles of solid geometry and geometric construction.

The prompt above was compiled from the original drawing commands and is for reference only.