MathPlotAI Logo MathPlotAI

4x4 Cube Model

4x4 Cube Model
Loading the math board and drawing, please wait…
2016-04-01 03:09
PolygonSolid GeometryGeometric Construction
This example demonstrates a 3D model of a 4x4 cube and its net, involving core math concepts like solid geometry, polygon construction, and spatial transformations. Key GeoGebra commands used include Polygon, Prism, and Sequence for constructing the cube and its faces. Suitable for high school students studying 3D geometry and spatial reasoning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Prism(poly1, E) → e, F, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, G, H, פאהABFE, פאהBCGF, פאהCDHG, פאהADHE, פאהEFGH, edgeAE
  3. Sequence(Polygon[(-2, 2, i), (-2, -2, i), (2, -2, i), (2, 2, i)], i, 1, 3) → list1
  4. Sequence(Polygon[(i, 2, 0), (i, 2, 4), (i, -2, 4), (i, -2, 0)], i, -1, 1) → list2
  5. Sequence(Polygon[(-2, i, 0), (-2, i, 4), (2, i, 4), (2, i, 0)], i, -1, 1) → list3

AI Drawing Prompt Reference

Draw a 3D model of a 4x4 cube and its net, showing the six faces of the cube and the individual parts of the net, constructed using polygons for each face, prism to form the 3D shape of the cube, and arrange the net parts in sequence to form a complete cube layout.
The prompt above was compiled from the original drawing commands and is for reference only.