Building with 8 Cubes (16)
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This example demonstrates how to construct a specific 3D structure using 8 cubes. It involves concepts such as cubes, rational numbers, and division. Using GeoGebra commands like Polygon and Prism, complex 3D geometric shapes can be constructed. Suitable for middle and high school students to learn about solid geometry and spatial visualization.
GeoGebra Commands & Parameters
Polygon(A_2, B_2, C_2, D_2) → poly1_2, a_2, b_2, c_2, d_2Prism(poly1_2, E_2) → e_2, F_2, edgeBF_2, edgeCG_2, edgeDH_2, edgeEF_2, edgeFG_2, edgeGH_2, edgeEH_2, G_2, H_2, faceABFE_2, faceBCGF_2, faceCDHG_2, faceADHE_2, faceEFGH_2, edgeAE_2Polygon(A_3, B_3, C_3, D_3) → poly1_3, a_3, b_3, c_3, d_3Prism(poly1_3, E_3) → e_3, F_3, edgeBF_3, edgeCG_3, edgeDH_3, edgeEF_3, edgeFG_3, edgeGH_3, edgeEH_3, G_3, H_3, faceABFE_3, faceBCGF_3, faceCDHG_3, faceADHE_3, faceEFGH_3, edgeAE_3Polygon(A_4, B_4, C_4, D_4) → poly1_4, a_4, b_4, c_4, d_4Prism(poly1_4, E_4) → e_4, F_4, edgeBF_4, edgeCG_4, edgeDH_4, edgeEF_4, edgeFG_4, edgeGH_4, edgeEH_4, G_4, H_4, faceABFE_4, faceBCGF_4, faceCDHG_4, faceADHE_4, faceEFGH_4, edgeAE_4Polygon(A_5, B_5, C_5, D_5) → poly1_5, a_5, b_5, c_5, d_5Prism(poly1_5, E_5) → e_5, F_5, edgeBF_5, edgeCG_5, edgeDH_5, edgeEF_5, edgeFG_5, edgeGH_5, edgeEH_5, G_5, H_5, faceABFE_5, faceBCGF_5, faceCDHG_5, faceADHE_5, faceEFGH_5, edgeAE_5Polygon(A_6, B_6, C_6, D_6) → poly1_6, a_6, b_6, c_6, d_6Prism(poly1_6, E_6) → e_6, F_6, edgeBF_6, edgeCG_6, edgeDH_6, edgeEF_6, edgeFG_6, edgeGH_6, edgeEH_6, G_6, H_6, faceABFE_6, faceBCGF_6, faceCDHG_6, faceADHE_6, faceEFGH_6, edgeAE_6Polygon(A_7, B_7, C_7, D_7) → poly1_7, a_7, b_7, c_7, d_7Prism(poly1_7, E_7) → e_7, F_7, edgeBF_7, edgeCG_7, edgeDH_7, edgeEF_7, edgeFG_7, edgeGH_7, edgeEH_7, G_7, H_7, faceABFE_7, faceBCGF_7, faceCDHG_7, faceADHE_7, faceEFGH_7, edgeAE_7Polygon(A_8, B_8, C_8, D_8) → poly1_8, a_8, b_8, c_8, d_8Prism(poly1_8, E_8) → e_8, F_8, edgeBF_8, edgeCG_8, edgeDH_8, edgeEF_8, edgeFG_8, edgeGH_8, edgeEH_8, G_8, H_8, faceABFE_8, faceBCGF_8, faceCDHG_8, faceADHE_8, faceEFGH_8, edgeAE_8Polygon(A_9, B_9, C_9, D_9) → poly1_9, a_9, b_9, c_9, d_9Prism(poly1_9, E_9) → e_9, F_9, edgeBF_9, edgeCG_9, edgeDH_9, edgeEF_9, edgeFG_9, edgeGH_9, edgeEH_9, G_9, H_9, faceABFE_9, faceBCGF_9, faceCDHG_9, faceADHE_9, faceEFGH_9, edgeAE_9Polygon(A_{10}, B_{10}, C_{10}, D_{10}) → poly1_{10}, a_{10}, b_{10}, c_{10}, d_{10}Prism(poly1_{10}, E_{10}) → e_{10}, F_{10}, edgeBF_{10}, edgeCG_{10}, edgeDH_{10}, edgeEF_{10}, edgeFG_{10}, edgeGH_{10}, edgeEH_{10}, G_{10}, H_{10}, faceABFE_{10}, faceBCGF_{10}, faceCDHG_{10}, faceADHE_{10}, faceEFGH_{10}, edgeAE_{10}Polygon(A_{11}, B_{11}, C_{11}, D_{11}) → poly1_{11}, a_{11}, b_{11}, c_{11}, d_{11}Prism(poly1_{11}, E_{11}) → e_{11}, F_{11}, edgeBF_{11}, edgeCG_{11}, edgeDH_{11}, edgeEF_{11}, edgeFG_{11}, edgeGH_{11}, edgeEH_{11}, G_{11}, H_{11}, faceABFE_{11}, faceBCGF_{11}, faceCDHG_{11}, faceADHE_{11}, faceEFGH_{11}, edgeAE_{11}Polygon(A_1, B_1, C_1, D_1) → poly1_1, a_1, b_1, c_1, d_1Prism(poly1_1, E_1) → e_1, F_1, edgeBF_1, edgeCG_1, edgeDH_1, edgeEF_1, edgeFG_1, edgeGH_1, edgeEH_1, G_1, H_1, faceABFE_1, faceBCGF_1, faceCDHG_1, faceADHE_1, faceEFGH_1, edgeAE_1Polygon(A_{12}, B_{12}, C_{12}, D_{12}) → poly1_{12}, a_{12}, b_{12}, c_{12}, d_{12}Prism(poly1_{12}, E_{12}) → e_{12}, F_{12}, edgeBF_{12}, edgeCG_{12}, edgeDH_{12}, edgeEF_{12}, edgeFG_{12}, edgeGH_{12}, edgeEH_{12}, G_{12}, H_{12}, faceABFE_{12}, faceBCGF_{12}, faceCDHG_{12}, faceADHE_{12}, faceEFGH_{12}, edgeAE_{12}Polygon(E, B, C, D) → poly1, a, b, c, dPolygon(A_{13}, B_{13}, C_{13}, D_{13}) → poly1_{13}, a_{13}, b_{13}, c_{13}, d_{13}Prism(poly1_{13}, E_{13}) → e_{13}, F_{13}, edgeBF_{13}, edgeCG_{13}, edgeDH_{13}, edgeEF_{13}, edgeFG_{13}, edgeGH_{13}, edgeEH_{13}, G_{13}, H_{13}, faceABFE_{13}, faceBCGF_{13}, faceCDHG_{13}, faceADHE_{13}, faceEFGH_{13}, edgeAE_{13}Polygon(A_{14}, B_{14}, C_{14}, D_{14}) → poly1_{14}, a_{14}, b_{14}, c_{14}, d_{14}Prism(poly1_{14}, E_{14}) → e_{14}, F_{14}, edgeBF_{14}, edgeCG_{14}, edgeDH_{14}, edgeEF_{14}, edgeFG_{14}, edgeGH_{14}, edgeEH_{14}, G_{14}, H_{14}, faceABFE_{14}, faceBCGF_{14}, faceCDHG_{14}, faceADHE_{14}, faceEFGH_{14}, edgeAE_{14}Polygon(A_{15}, B_{15}, C_{15}, D_{15}) → poly1_{15}, a_{15}, b_{15}, c_{15}, d_{15}Prism(poly1_{15}, E_{15}) → e_{15}, F_{15}, edgeBF_{15}, edgeCG_{15}, edgeDH_{15}, edgeEF_{15}, edgeFG_{15}, edgeGH_{15}, edgeEH_{15}, G_{15}, H_{15}, faceABFE_{15}, faceBCGF_{15}, faceCDHG_{15}, faceADHE_{15}, faceEFGH_{15}, edgeAE_{15}Polygon(A_{16}, B_{16}, C_{16}, D_{16}) → poly1_{16}, a_{16}, b_{16}, c_{16}, d_{16}Prism(poly1_{16}, E_{16}) → e_{16}, F_{16}, edgeBF_{16}, edgeCG_{16}, edgeDH_{16}, edgeEF_{16}, edgeFG_{16}, edgeGH_{16}, edgeEH_{16}, G_{16}, H_{16}, faceABFE_{16}, faceBCGF_{16}, faceCDHG_{16}, faceADHE_{16}, faceEFGH_{16}, edgeAE_{16}Polygon(E_{25}, B_{25}, C_{25}, D_{25}) → poly1_{25}, a_{25}, b_{25}, c_{25}, d_{25}Polygon(E_{38}, B_{38}, C_{38}, D_{38}) → poly1_{38}, a_{38}, b_{38}, c_{38}, d_{38}
AI Drawing Prompt Reference
Construct a 3D structure using 8 cubes. First, draw 8 cubes with square bases, each base consisting of 4 vertices. Then, connect each cube's base to a common vertex to form a complex 3D geometric shape.
The prompt above was compiled from the original drawing commands and is for reference only.