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Right Prism Nets

Right Prism Nets
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2019-02-14 01:32
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the net of a right prism. Key mathematical concepts include the properties of right prisms in solid geometry. Using GeoGebra commands such as Intersect, Circle, Sequence, and Polygon, the net of a right prism can be constructed. Suitable for middle school and above students or teachers for geometry construction and solid geometry education.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, r) → c
  3. Sequence(((r * cos(((2 * π / n) * k))), (r * sin(((2 * π / n) * k))), 0), k, 1, n + 1) → l1
  4. Sequence(Segment[Element[l1, i], Element[l1, i + 1]], i, 1, n) → l2
  5. Sequence(((r * cos(((2 * π / n) * k))), (r * sin(((2 * π / n) * k))), h), k, 1, n + 1) → l3
  6. Sequence(Segment[Element[l3, i], Element[l3, i + 1]], i, 1, n) → l4
  7. Polygon(l1) → poly1
  8. Prism(poly1, h) → a, B, U_1, B_2, face1, face3, face4, face5, face6, face7, face2, face8, C, face14, face16, face18, faceBCDEFGH, edge1, edge2, edge3, edge4, edge5, edge6, D, edge7, edge8, edge30, edge37, edge44, edgeBC, edgeCD, edgeDE, edgeEF, edgeFG, E, edgeGH, edgeBH, edge9, edge31, edge38, edge45, F, G, H, I, P_1
  9. Net(a, b) → d, J, V_1, edge14, edge17, edge18, edge19, edge13, edge20, edge25, edge32, edge39, edge46, C_2, P, Q, R, S, T, U, V, W, K, Z, A_1, B_1, C_1, J_1, K_1, N_1, O_1, S_1, T_1, L, Z_1, A_2, E_2, F_2, D_1, E_1, F_1, G_1, I_1, M_1, M, R_1, W_1, D_2, faceJKLMNO, faceJKQP, faceKLSR, faceLMUT, faceMNWV, face10, face9, N, face12, face13, face15, face17, face19, face11, edgeJK, edgeKL, edgeLM, edgeMN, O, edgeNO, edgeJO, edge21, edge26, edge33, edge40, edge47, edgeJP, edgePQ, edgeKQ, H_1, edgeKR, edgeRS, edgeLS, edgeLT, edgeTU, edgeMU, edgeMV, edgeVW, edgeNW, edgeNZ, L_1, edge15, edge11, edge12, edge16, edge10, edge22, edge23, edge24, edge27, edge28, Q_1, edge29, edge34, edge35, edge36, edge41, edge42, edge43, edge48, edge49, edge50

AI Drawing Prompt Reference

Draw the net of a right prism, including a circular base and multiple rectangular sides, showing its structural layout. Start by drawing a circle, then equally divide its circumference and connect the points to form a closed polygon. Next, draw a parallel polygon of the same shape above the base. Finally, connect the two polygons with rectangular sides to create the net of the right prism.
The prompt above was compiled from the original drawing commands and is for reference only.