Kayseri-Sahibiye Madrassa Geometric Construction

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2020-08-18 13:46

In collections Fatin Uluengin - muqarnas

This example demonstrates the geometric construction of the Kayseri-Sahibiye Madrassa's plan, involving polygon creation, intersection calculations, and mirror transformations. Key GeoGebra commands and objects used include Point, ConstructionStep, Polygon, Segment, Intersect, Mirror, as outlined in the construction summary. It is suitable for high school geometry instruction and learning, providing a practical application of mathematics in architectural representation.

GeoGebra Commands & Parameters

Point(xAxis) → A
ConstructionStep() → stap
Point(xAxis) → B
Polygon(A, B, C, D) → vierhoek1, a, b, c, d
Point(yAxis) → E
Segment(E, F) → f
Intersect(a, f) → G
Point(c) → H_1
Segment(H_1, G) → s
Segment(D, G) → g
Intersect(c, f) → H
Segment(A, H) → h
Point(d) → I
Segment(I, J) → i
Point(c) → K
Point(a) → L
Segment(K, L) → j
Mirror(G, g) → G'
Intersect(g, h) → N
Point(d) → P
Point(b) → M
Segment(J, M) → k
Point(c) → O
Point(a) → R
Segment(O, R) → l
Segment(I, K) → m
Segment(K, J) → p
Segment(I, L) → q
Segment(L, J) → n
Segment(L, J) → r
Mirror(afbeelding5, yAxis) → afbeelding5'
Point(a) → I_1
Point(s) → M_1
Polygon(I_1, J_1, R_1, S_1, T_1, U_1, V_1, W_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, E_1) → veelhoek1, t, m_1, n_1, p_1, q_1, r_1, s_1, t_1, e, f_1, g_1, h_1, i_1, j_1, k_1, l_1

AI Drawing Prompt Reference

Draw a geometric figure that includes a square, a rectangle, and a triangle. The square and rectangle share a side, and the triangle is adjacent to the rectangle. The figure should show the relative positions and connections of these shapes.

The prompt above was compiled from the original drawing commands and is for reference only.