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Planar Facets Cube Construction

Planar Facets Cube Construction
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2022-03-21 03:33
FunctionSolid GeometryMatrixGeometric Construction
In collections Linkages
This example demonstrates the construction of a cube's planar facets using linkages. It involves core mathematical concepts such as geometric constructions, matrix operations, continuity of functions, and quadratic equations. Key GeoGebra commands and objects used include PointIn, Point, U, O, A, E, D, F, B, J, AB, DJ, OU, EF, OE, UF, AD, BJ, LongitudBarras, aux, texto1, texto2. Suitable for high school and above students to understand the application of spatial geometry combined with algebra.

GeoGebra Commands & Parameters

  1. PointIn(Sphere[O, 1]) → A
  2. Point(Circle[O, 1, zAxis]) → E

AI Drawing Prompt Reference

Draw a cube's planar facets. First, take a point A inside a sphere centered at O with radius 1. Then, take a point E on a circle centered at O with radius 1 and perpendicular to the z-axis.
The prompt above was compiled from the original drawing commands and is for reference only.