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Grid

A: (0, 0)
n_0 = 1 (slider from 0 to 36, step 1)
B = (1, 0)
C = (0.5, 0.8660254037844386)
D = (2, 0)
E = (1.5, 0.8660254037844386)
F = (1, 1.7320508075688772)
G = (3, 0)
H = (2.5, 0.8660254037844386)
I = (2, 1.7320508075688772)
J = (1.5, 2.598076211353316)
K = (4, 0)
L = (3.5, 0.8660254037844386)
M = (3, 1.7320508075688772)
N = (2.5, 2.598076211353316)
O = (2, 3.4641016151377544)
P = (5, 0)
Q = (4.5, 0.8660254037844386)
R = (4, 1.7320508075688772)
S = (3.5, 2.598076211353316)
T = (3, 3.4641016151377544)
U = (2.5, 4.330127018922193)
poly1, f, g, h = TriEq(A, B)
poly2, i, j, k = TriEq(B, D)
poly3, l, m, n_1 = TriEq(E, C)
poly4, p, q, r = TriEq(C, E)
poly5, s, t, a = TriEq(D, G)
poly6, b, c, d = TriEq(H, E)
poly7, e, f_1, g_1 = TriEq(E, H)
poly8, h_1, i_1, j_1 = TriEq(I, F)
poly9, k_1, l_1, m_1 = TriEq(F, I)
poly10, p_1, q_1, r_1 = TriEq(G, K)
poly11, s_1, t_1, a_1 = TriEq(L, H)
poly12, b_1, c_1, d_1 = TriEq(H, L)
poly13, e_1, f_2, g_2 = TriEq(M, I)
poly14, h_2, i_2, j_2 = TriEq(I, M)
poly15, k_2, l_2, m_2 = TriEq(N, J)
poly16, n_2, p_2, q_2 = TriEq(J, N)
poly17, r_2, s_2, t_2 = TriEq(K, P)
poly18, a_2, b_2, c_2 = TriEq(Q, L)
poly19, d_2, e_2, f_3 = TriEq(L, Q)
poly20, g_3, h_3, i_3 = TriEq(R, M)
poly21, j_3, k_3, l_3 = TriEq(M, R)
poly22, m_3, n_3, p_3 = TriEq(S, N)
poly23, q_3, r_3, s_3 = TriEq(N, S)
poly24, t_3, a_3, b_3 = TriEq(T, O)
poly25, c_3, d_3, e_3 = TriEq(O, T)
V = (6, 0)
W = (5.5, 0.8660254037844386)
Z = (5, 1.7320508075688772)
A_1 = (4.5, 2.598076211353316)
B_1 = (4, 3.4641016151377544)
C_1 = (3.5, 4.330127018922193)
D_1 = (3, 5.196152422706632)
poly26, f_4, g_4, h_4 = TriEq(P, V)
poly27, i_4, j_4, k_4 = TriEq(W, Q)
poly28, l_4, m_4, n_4 = TriEq(Q, W)
poly29, p_4, q_4, r_4 = TriEq(Z, R)
poly30, s_4, t_4, a_4 = TriEq(R, Z)
poly31, b_4, c_4, d_4 = TriEq(A_1, S)
poly32, e_4, f_5, g_5 = TriEq(S, A_1)
poly33, h_5, i_5, j_5 = TriEq(B_1, T)
poly34, k_5, l_5, m_5 = TriEq(T, B_1)
poly35, n_5, p_5, q_5 = TriEq(C_1, U)
poly36, r_5, s_5, t_5 = TriEq(U, C_1)
text1: "" + n_0 + ""
B': (x(A) + ceil(sqrt(n_0)), y(A))
B'' = Rotate(B', 60°, A)
edge1 = Segment(A, B')
edge2 = Segment(B', B'')
edge3 = Segment(B'', A)
mid_1 = Midpoint(edge1)
mid_2 = Midpoint(edge2)
mid_3 = Midpoint(edge3)
mid_0 = Centroid(Polygon[mid_1, mid_2, mid_3])
mid_2' = Dilate(mid_2, 1.4, mid_0)
mid_3' = Dilate(mid_3, 1.4, mid_0)
ce: (c * e)
text3: "" + (ceil(sqrt(n_0))) + ""
text4: "" + (ceil(sqrt(n_0))) + ""
mid_1' = Dilate(mid_1, 1.4, mid_0)
text2: "scale = " + (ceil(sqrt(n_0))) + ""
text7: "" + n_0 + " fichas"

Tool: TriEq
Input: A, B
Output: poly1, a, b, b'

B' = Rotate(B, 60°, A)
poly1, b', a, b = Polygon(A, B, B')