Prism Net Example

Prism Net Example
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2017-04-24 05:06
In collections Surface Area
This example demonstrates the net of a prism and its geometric transformations. It involves core mathematical concepts such as solid geometry, polygons, and geometric transformations. The construction uses GeoGebra commands and objects like Prism, Net, A, B, C, F, a, D, E, faceABC, faceABDF, faceBCED, faceACEF, faceDEF, edgeAB, edgeBC, edgeAC, edgeAF, edgeBD, edgeCE, edgeDF, edgeDE, edgeEF, b, c, G, H, I, J, K, L, M, N, O, P, faceGHI, faceGHKJ, faceHIML, faceGINO, faceJKP, edgeGH. It is suitable for high school geometry teaching and learning geometric transformations.

GeoGebra Commands & Parameters

  1. Prism(A, B, C, F) → a, D, edgeAC, edgeAF, edgeBD, edgeCE, edgeDF, edgeDE, edgeEF, E, faceABC, faceABDF, faceBCED, faceACEF, faceDEF, edgeAB, edgeBC
  2. Net(a, b) → c, G, P, faceGHI, faceGHKJ, faceHIML, faceGINO, faceJKP, edgeGH, edgeHI, edgeGI, edgeGJ, H, edgeJK, edgeHK, edgeHL, edgeLM, edgeIM, edgeIN, edgeNO, edgeGO, edgeKP, edgeJP, I, J, K, L, M, N, O
  3. Net(a, d) → e, Q, B_1, faceQRS, faceQRUT, faceRSWV, face2, face1, edgeQR, edgeRS, edgeQS, edgeQT, R, edgeTU, edgeRU, edgeRV, edgeVW, edgeSW, edgeSZ, edge4, edge1, edge3, edge2, S, T, U, V, W, Z, A_1
  4. Net(a, f) → g, C_1, L_1, face3, face5, face7, face6, face4, edge5, edge9, edge6, edge7, D_1, edge14, edge10, edge11, edge17, edge12, edge13, edge18, edge8, edge16, edge15, E_1, F_1, G_1, H_1, I_1, J_1, K_1
  5. Net(a, h) → i, M_1, V_1, face8, face10, face12, face11, face9, edge19, edge23, edge20, edge21, N_1, edge28, edge24, edge25, edge31, edge26, edge27, edge32, edge22, edge30, edge29, O_1, P_1, Q_1, R_1, S_1, T_1, U_1
  6. Net(a, j) → k, W_1, H_2, face13, face15, face17, face16, face14, edge33, edge37, edge34, edge35, Z_1, edge42, edge38, edge39, edge45, edge40, edge41, edge46, edge36, edge44, edge43, A_2, B_2, C_2, D_2, E_2, F_2, G_2