Cube Surface and Incircle
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This example demonstrates how to draw the surface of a cube and its incircle using GeoGebra commands. It involves core mathematical concepts like solid geometry, surface, incircle, complex numbers, hyperbola, area, and orthocenter. The construction uses the Surface command and objects b, a. Suitable for high school and above students to learn complex geometric properties and constructions.
GeoGebra Commands & Parameters
Surface((((cos(u) * cos(v)) * (abs(cos((4 * u / 4)))^(100) + abs(sin((4 * u / 4)))^(100))^(-1 / 100)) * (abs(cos((4 * v / 4)))^(100) + abs(sin((4 * v / 4)))^(100))^(-1 / 100)), (sin(u) * (abs(cos((4 * u / 4)))^(100) + abs(sin((4 * u / 4)))^(100))^(-1 / 100)), (((cos(u) * sin(v)) * (abs(cos((4 * u / 4)))^(100) + abs(sin((4 * u / 4)))^(100))^(-1 / 100)) * (abs(cos((4 * v / 4)))^(100) + abs(sin((4 * v / 4)))^(100))^(-1 / 100)), u, -1.5708 + b / 2, 1.5708 - b, v, 0, 6.28319) → a
AI Drawing Prompt Reference
Draw the surface of a cube and its incircle to demonstrate solid geometry and the properties of the incircle, involving concepts like complex numbers, hyperbolas, area, and orthocenter. Use the surface command to generate the cube's surface and geometric relationships to draw the incircle, suitable for high school and above students to learn complex geometric properties and constructions.
The prompt above was compiled from the original drawing commands and is for reference only.