Adjustable Prisms: Dynamic Geometry and Net Exploration

Loading the math board and drawing, please wait…

2017-11-24 01:15

This GeoGebra example demonstrates an adjustable prism with dynamic 3D structure, its net (unfolding), and related geometric parameters. It covers core concepts in solid geometry including prisms, pyramids, polygons, symmetry transformations, and fractional relationships. The construction uses commands such as Mirror, Polygon, Prism, Net, and Pyramid, with objects including vertices (A, B, C, D, etc.), faces (faceAA'MN, faceABON, etc.), and a height variable. Suitable for middle and high school geometry classes, it helps students visualize prism components, understand nets, and explore how changing dimensions affect volume and surface area.

GeoGebra Commands & Parameters

Mirror(A, yAxis) → A'
Polygon(A', A, Sides) → poly1, f, q, B, C, D, E_1, F, G, H, I, g, h, i, j, k, l, m, p
Prism(poly1, Height) → b, M, F_2, faceAA'MN, faceABON, faceA'BOM, face1, face3, face5, face7, face9, face11, N, face13, faceMNO, edgeA'M, edgeAN, edgeBO, edge1, edge8, edge15, edge22, edge29, O, edge36, edge43, edgeMN, edgeNO, edgeMO, edge2, edge9, edge16, edge23, edge30, W, edge37, edge44, D_1, J_1, O_1, T_1, A_2
Net(b, Open) → c, J, G_2, P, Q, R, S, T, U, B_1, C_1, H_1, K, I_1, M_1, N_1, R_1, S_1, W_1, Z_1, D_2, E_2, I_2, L, J_2, V, A_1, G_1, L_1, Q_1, V_1, C_2, H_2, faceJKL, Z, faceJKQP, faceKLSR, faceJLTU, face2, face4, face6, face8, face10, face12, face14, F_1, facePQV, edgeJK, edgeKL, edgeJL, edge4, edge11, edge18, edge25, edge32, edge39, K_1, edge46, edgeJP, edgePQ, edgeKQ, edgeKR, edgeRS, edgeLS, edgeLT, edgeTU, edgeJU, P_1, edge5, edge6, edge7, edge12, edge13, edge14, edge19, edge20, edge21, edge26, U_1, edge27, edge28, edge33, edge34, edge35, edge40, edge41, edge42, edge47, edge48, B_2, edge49, edgeQV, edgePV, edge3, edge10, edge17, edge24, edge31, edge38, edge45
Polygon(A', A, Sides) → poly2, r, i_1, E, K_2, L_2, M_2, N_2, O_2, P_2, Q_2, s, t, a, d, e, f_1, g_1, h_1
Pyramid(poly2, Height) → u, S_2, face34, face27, edge61, edge60, edge62, edge63, edge64, edge65, edge66, edge67, face25, edge68, edge69, face26, face28, face29, face30, face31, face32, face33
Net(u, Open2) → v, R_2, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, L_3, M_3, T_2, N_3, face35, face15, face17, face18, face19, face20, face21, face22, face23, U_2, face24, face16, edge50, edge54, edge57, edge70, edge73, edge76, edge79, edge82, V_2, edge85, edge51, edge52, edge55, edge56, edge58, edge59, edge71, edge72, edge74, W_2, edge75, edge77, edge78, edge80, edge81, edge83, edge84, edge86, edge87, edge88, Z_2, edge89, edge53, A_3, B_3, C_3