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Dome in Sectors

Dome in Sectors
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2019-12-31 20:47
PolygonTrigonometryGeometric Construction
This example demonstrates the dome structure in Islamic geometric patterns. It involves concepts such as symmetry, intersection, and scalene triangles. Using GeoGebra commands like Polygon, Sequence, and Surface, complex geometric shapes can be constructed. Suitable for high school geometry education or for math enthusiasts to explore geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(C, W, K, L, M, N, O, P, Q, R, S, T, D, U, E, V, F, G, H, I, J) → veelhoek1, f, p, q, r, s, t, a, b, c, d, e, g, f_1, g_1, h, i, j, k, l, m, n
  2. Sequence(Polygon[Rotate[C, (nn * 45°)], Rotate[D, (nn * 45°)], Rotate[E, (nn * 45°)], Rotate[F, (nn * 45°)], Rotate[G, (nn * 45°)], Rotate[H, (nn * 45°)], Rotate[I, (nn * 45°)], Rotate[J, (nn * 45°)], Rotate[K, (nn * 45°)], Rotate[L, (nn * 45°)], Rotate[M, (nn * 45°)], Rotate[N, (nn * 45°)], Rotate[O, (nn * 45°)], Rotate[P, (nn * 45°)], Rotate[Q, (nn * 45°)], Rotate[R, (nn * 45°)], Rotate[S, (nn * 45°)], Rotate[T, (nn * 45°)], Rotate[U, (nn * 45°)]], nn, 1, 8) → l1
  3. Surface((sqrt((20 / π)^(2) - h^(2)) * cos(t)), (sqrt((20 / π)^(2) - h^(2)) * sin(t)), h - 20 / π, t, 0°, 360°, h, 0, sqrt((20 / π)^(2) - h^(2))) → o

AI Drawing Prompt Reference

Draw a dome structure in Islamic geometric patterns, featuring multiple rotated hexagons that symmetrically arrange around a center to form a circular sector pattern, creating a dome-like visual effect through rotation and symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.