MathPlotAI Logo MathPlotAI

Wide Cube

Wide Cube
Loading the math board and drawing, please wait…
2022-06-22 19:20
Solid GeometryGeometric Construction
This example demonstrates the geometric construction of a wide cube. It involves concepts such as cube, geometry, roots, and quadratic equations. Using GeoGebra commands like Point, Cube, and Net, the faces and edges of the cube are constructed. Suitable for students at the middle school level and above for studying solid geometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, Q

AI Drawing Prompt Reference

Create an illustration of a wide cube with both its 3D solid and its net. First choose two points on a plane as the endpoints of a base edge, then select a third point on a circle determined by the distance between the first two points to serve as the geometric reference. Using these points, construct the wide cube and display multiple faces and edges, including the connected top, side, and base faces. Finally, unfold the cube into a planar net by laying out the corresponding faces as connected polygonal panels, with the shared edges matching between panels.
The prompt above was compiled from the original drawing commands and is for reference only.