Square Pyramid Anatomy by Tim Brzezinski
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GeoGebra 3D & AR: Geometry Resources & Challenges
This example demonstrates the geometric construction and fundamental properties of a square pyramid. Core math concepts include perimeter, solid geometry, right triangles, squares, arithmetic operations, quadratic equations, median, geometric mean. Construction highlights GeoGebra commands: Intersect, Point, PointIn, Pyramid, Ray, Segment, Midpoint, Polygon, Angle, OrthogonalLine; objects like a, A, B, C, D, E, c, F, b, faceACBD_1, faceADF, faceACF, faceBCF, faceBDF, edgeAD_1, edgeAC_1, edgeBC_1, edgeBD_1, edgeDF, edgeAF, edgeCF, edgeBF, G, H, f, I, J, K, d, faceACBD, faceACK, faceBCK, faceBDK, faceADK, edgeAC, edgeBC, edgeBD, edgeAD, edgeAK, edgeCK. Suitable for high school students or math enthusiasts exploring solid geometry construction.
GeoGebra Commands & Parameters
Intersect(yAxis, xAxis) → DPoint(zAxis) → EPointIn(c) → FPyramid(D, A, C, B, F) → b, faceACBD_1, edgeDF, edgeAF, edgeCF, edgeBF, faceADF, faceACF, faceBCF, faceBDF, edgeAD_1, edgeAC_1, edgeBC_1, edgeBD_1Ray(G, H) → fPoint(f) → IPoint(edgeCF) → JIntersect(c, f) → KPyramid(A, C, B, D, K) → d, faceACBD, edgeAK, edgeCK, edgeBK, edgeDK, faceACK, faceBCK, faceBDK, faceADK, edgeAC, edgeBC, edgeBD, edgeADSegment(G, K) → hMidpoint(edgeBC) → MSegment(G, M) → jSegment(M, K) → kPolygon(G, M, K) → poly1, k_1, g, mAngle(M, G, K) → αOrthogonalLine(F, e) → iIntersect(i, e) → LSegment(F, L) → lAngle(F, L, A) → βPolygon(K, G, M) → poly2, m_1, k_2, g_1