MathPlotAI Logo MathPlotAI

Cube Front, Side, Top Elevation Drawing

Cube Front, Side, Top Elevation Drawing
Loading the math board and drawing, please wait…
2017-10-31 05:37
Solid GeometryGeometric ConstructionGraphing
This example demonstrates how to draw a cube's front elevation, side elevation, and plan using GeoGebra. It involves core math concepts like solid geometry and orthographic projection. Construction highlights include using commands like Point and Cube, as detailed in the summary. Suitable for high school students learning 3D geometry and technical drawing.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD_1, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  3. Point(Circle[C, Distance[D, C], Segment[D, C]]) → I
  4. Cube(D, C, I) → b, J, faceIJNM, faceKLMN, edgeDJ, edgeCD, edgeCI, edgeIJ_1, edgeDK, edgeJN, edgeKN, edgeKL, K, edgeCL, edgeLM, edgeIM, edgeMN, L, M, N, faceCDJI, faceDJNK, faceCDKL, faceCIML
  5. Point(Circle[I, Distance[J, I], Segment[J, I]]) → O
  6. Cube(J, I, O) → c, P, faceOPTS, faceQRST, edgeJP, edgeIJ, edgeIO, edgeOP, edgeJQ, edgePT, edgeQT, edgeQR, Q, edgeIR, edgeRS, edgeOS, edgeST, R, S, T, faceIJPO, faceJPTQ, faceIJQR, faceIOSR
  7. Point(Circle[V, Distance[U, V], Segment[U, V]]) → W
  8. Cube(U, V, W) → d, Z, face4, face5, edgeUZ, edgeUV, edgeVW, edgeWZ, edge1, edge4, edge6, edge5, A_1, edge2, edge7, edge3, edge8, B_1, C_1, D_1, faceUVWZ, face2, face1, face3
  9. Point(Circle[F_1, Distance[E_1, F_1], Segment[E_1, F_1]]) → G_1
  10. Cube(E_1, F_1, G_1) → e, H_1, face10, face11, edge10, edge9, edge12, edge14, edge11, edge16, edge18, edge17, I_1, edge13, edge19, edge15, edge20, J_1, K_1, L_1, face6, face8, face7, face9
  11. Point(Circle[N_1, Distance[M_1, N_1], Segment[M_1, N_1]]) → O_1
  12. Cube(M_1, N_1, O_1) → f, P_1, face16, face17, edge22, edge21, edge24, edge26, edge23, edge28, edge30, edge29, Q_1, edge25, edge31, edge27, edge32, R_1, S_1, T_1, face12, face14, face13, face15
  13. Point(Circle[T_1, Distance[L_1, T_1], Segment[L_1, T_1]]) → U_1
  14. Cube(L_1, T_1, U_1) → g, V_1, face22, face23, edge34, edge33, edge36, edge38, edge35, edge40, edge42, edge41, W_1, edge37, edge43, edge39, edge44, Z_1, A_2, B_2, face18, face20, face19, face21

AI Drawing Prompt Reference

Draw a cube's front, side, and top elevations. Start by constructing a cube, then project it from the front, side, and top to obtain the respective views. Each elevation should clearly show the cube's edges and faces, ensuring accurate projection relationships.
The prompt above was compiled from the original drawing commands and is for reference only.