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Cube of a Binomial by Jennifer Silverman

Cube of a Binomial by Jennifer Silverman
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2016-12-16 23:51
Solid GeometryGeometric Construction
This example demonstrates the construction of a binomial cube. Key mathematical concepts include cubes and solid geometry. Using commands like Polygon, Intersect, and Prism, the binomial cube is constructed. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, D, E, B) → poly1, a_1, d, e, b_1
  2. Polygon(D, G, H, E) → poly3, d_1, g_1, h, e_2
  3. Polygon(E, H, I, F) → poly4, e_3, h_1, i, f_2
  4. Intersect(i, f_2) → P
  5. Prism(poly3, L) → f, S, edgeGS, edgeHT, edgeEU, edgeLS, edgeST, edgeTU, edgeLU, T, U, faceDGSL, faceGHTS, faceEHTU, faceDEUL, faceLSTU, edgeDL
  6. Polygon(B, C, P, E) → poly2, b_2, c, p, e_1
  7. Prism(poly2, K) → g, V, edgeCV, edgePW, edgeEZ, edgeKV, edgeVW, edgeWZ, edgeKZ, W, Z, faceBCVK, faceCPWV, faceEPWZ, faceBEZK, faceKVWZ, edgeBK
  8. Prism(poly1, J) → j, A_1, edge2, edge3, edge1, edge4, edge6, edge7, edge5, B_1, C_1, face2, face4, face3, face1, face5, edgeAJ
  9. Prism(poly4, B_1) → k, E_1, edge10, edge11, edge9, edge12, edge14, edge15, edge13, F_1, G_1, face7, face9, face8, face6, face10, edge8
  10. Prism(face5, H_1) → l, I_1, edge17, edge18, edge19, edge20, edge22, edge23, edge21, J_1, K_1, face11, face13, face14, face12, face15, edge16
  11. Intersect(edge19, edge23) → P_1
  12. Prism(faceKVWZ, P_1) → m, M_1, edge25, edge26, edge27, edge28, edge30, edge31, edge29, N_1, O_1, face16, face18, face19, face17, face20, edge24
  13. Intersect(edge17, edge20) → T_1
  14. Prism(faceLSTU, T_1) → n, Q_1, edge33, edge34, edge35, edge36, edge38, edge39, edge37, R_1, S_1, face21, face23, face24, face22, face25, edge32
  15. Intersect(edge31, edge35) → Z_1
  16. Prism(face10, Z_1) → o, U_1, edge41, edge42, edge43, edge44, edge46, edge47, edge45, V_1, W_1, face26, face28, face29, face27, face30, edge40

AI Drawing Prompt Reference

Draw a binomial cube with six square faces and a central cube. Start by drawing the base square, then sequentially draw the other five square faces, ensuring they are adjacent to the base square. Finally, construct the central cube, making sure it intersects with all the square faces.
The prompt above was compiled from the original drawing commands and is for reference only.