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Cutting a Cube

Cutting a Cube
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2019-05-23 16:14
Solid GeometryTransformationGeometric Construction
In collections Learn GeoGebra Classic
This example demonstrates how to cut a cube to show geometric transformations. Key mathematical concepts include geometric construction and solid geometry. Using GeoGebra commands such as Intersect, Point, and Cube, the sliced faces and edges of the cube can be constructed. Suitable for middle school and above students to learn solid geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → f, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. IntersectPath(e, f) → poly1, I, j, k, l, J, K, L, M, N, g, h, i

AI Drawing Prompt Reference

Draw a cube and demonstrate how to cut it to show geometric transformations. First, find the intersection of the x-axis and z-axis in a coordinate system, then draw a circle with this intersection as the center and a point on the circle connected to the x-axis point. Construct a cube using these three points and display the sliced faces and edges. Suitable for students learning solid geometry and geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.