Cowboy Hat

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2017-08-25 17:32

In collections surface 3D

This example demonstrates the geometric construction of a cowboy hat. It involves concepts of circles and polygons. Using commands like Surface and Random Variables in GeoGebra, the shape and size of the hat can be dynamically adjusted. Suitable for high school coordinate geometry and solid geometry courses.

GeoGebra Commands & Parameters

Surface((r / 2 * cos(u)), (r / 2 * sin(u)), v, u, (-π), π, v, (-1.5 * r), ((-r)) / 4) → cou
Surface((((r * fnez(u, v)) * cos(u)) * cos(v)), ((((r * e) * fnez(u, v)) * sin(u)) * cos(v)), ((r * fnez(u, v)) * sin(v)), u, ((-π)) / 2, π / 2, v, ((-π)) / 2, π / 2) → tete2
Surface(((r * cos((ly * (u - 0.5)) - ey)) * cos(((oy1 * sin((π * u))) * v) + hy)), (((r * e) * sin((ly * (u - 0.5)) - ey)) * cos(((oy1 * sin((π * u))) * v) + hy)), (r * sin(((oy1 * sin((π * u))) * v) + hy)), u, 0, 1, v, 0, 1) → oeil1
Surface(((r * cos((ly * (u - 0.5)) + ey)) * cos(((oyp2 * sin((π * u))) * v) + hy)), (((r * e) * sin((ly * (u - 0.5)) + ey)) * cos(((oyp2 * sin((π * u))) * v) + hy)), (r * sin(((oyp2 * sin((π * u))) * v) + hy)), u, 0, 1, v, 0, 1) → oeil2
Surface((((r + 0.05) * cos(u)) * cos(v)), ((((r + 0.05) * e) * sin(u)) * cos(v)), ((r + 0.05) * sin(v)), u, π / 2, (π * 3 / 2), v, ((-π)) / 2, π / 2) → cheveux
Surface((((-(r + 0.05)) * fn(u)) * cos(u)), ((((r + 0.05) * e) * fn(u)) * sin(u)), (((-(r + 0.05)) * abs(u)) * v / 2), u, (-π), π, v, 0, 1) → foulard
Surface((((r + 0.05) * cos(u)) * cos(v)), ((((r + 0.05) * e) * sin(u)) * cos(v)), ((r + 0.05) * sin(v)), u, (-π), π, v, π / hch, π / 2) → cheveux2
Surface((u * cos(v)), ((e * u) * sin(v)), cos(u)^(3) - ((ac * ((bc * sin(v)^(4)) + cc)) * cos((3 * u))) + hc + r, u, 0, π, v, (-π), π) → chapeau