Tassellazione semiregolare del piano usando 1 dodecagono, 1 esagono e 1 quadrato per vertice

A = (2.8598922638853552, 3.5844683522363043)
B = (3.0867141368582067, 3.9955829969996017)
poly1, a, b, c, d, e, f, g, h, i, j, k, l, C, D, E, F, G, H, I, J, K, L = Polygon(A, B, 12)
poly2, m, n, p, q, o, s, M, N, O, P = Polygon(F, E, 6)
poly3, r, t, a_1, b_1, c_1, d_1, Q, R, S, T = Polygon(D, C, 6)
poly4, e_1, f_1, u, v, w, z, U, V, W, Z = Polygon(B, A, 6)
poly5, g_1, h_1, i_1, j_1, k_1, l_1, A_1, B_1, C_1, D_1 = Polygon(L, K, 6)
poly6, m_1, n_1, p_1, q_1, r_1, s_1, E_1, F_1, G_1, H_1 = Polygon(J, I, 6)
poly7, t_1, a_2, b_2, c_2, d_2, e_2, I_1, J_1, K_1, L_1 = Polygon(H, G, 6)
poly8, f_2, g_2, h_2, i_2, M_1, N_1 = Polygon(G, F, 4)
poly9, j_2, k_2, o_1, m_2, O_1, P_1 = Polygon(E, D, 4)
poly10, l_2, n_2, p_2, q_2, Q_1, R_1 = Polygon(C, B, 4)
poly11, r_2, s_2, t_2, a_3, S_1, T_1 = Polygon(A, L, 4)
poly12, b_3, c_3, u_1, v_1, U_1, V_1 = Polygon(K, J, 4)
poly13, d_3, e_3, w_1, z_1, W_1, Z_1 = Polygon(I, H, 4)
α = Angle(E, F, P)
β = Angle(P, F, G)
γ = Angle(G, F, E)
f_3 = LineBisector(d_1)
poly1' = Mirror(poly1, f_3)
g_3 = LineBisector(t)
h_3 = LineBisector(f_1)
i_3 = LineBisector(h_1)
j_3 = LineBisector(n_1)
k_3 = LineBisector(a_2)
poly1'_1 = Mirror(poly1, k_3)
poly1'_2 = Mirror(poly1, j_3)
poly1'_3 = Mirror(poly1, i_3)
poly1'_4 = Mirror(poly1, h_3)
poly1'_5 = Mirror(poly1, g_3)

Tool: Circocerchio
Clicca sul triangolo
Input: poly1
Output: p, T

A = (-4.221655823828217, 0.2573952157720354)
B = (-6.409212927818962, -0.8940157728338809)
C = (-5.616576067409749, -3.37139259388696)
poly1, c, a, b = Polygon(A, B, C)
j = LineBisector(a)
l = LineBisector(c)
T = Intersect(j, l)
p = Circle(T, B)

Tool: Circonferenza inscrita (command Circonferenzainscrita)
Clicca sui vertici del triangolo
Input: N, P, Q
Output: c_1, R

poly2, q_1, n_1, p_1 = Polygon(N, P, Q)
r = AngularBisector(N, Q, P)
s = AngularBisector(P, N, Q)
R = Intersect(r, s)
t = OrthogonalLine(R, p_1)
S = Intersect(t, p_1)
c_1 = Circle(R, S)

Tool: Ortocentro
Clicca sui vertici del triangolo
Input: E_1, F_1, G_1
Output: H_1

j_1 = Line(F_1, G_1)
l_1 = Line(G_1, E_1)
m_1 = OrthogonalLine(F_1, l_1)
n_1 = OrthogonalLine(E_1, j_1)
H_1 = Intersect(m_1, n_1)

Tool: Excerchi
Clicca su 3 rette che determinano un triangolo
Input: b, c, a
Output: p, E, D, F, q, r

d, e = AngularBisector(a, c)
f, g = AngularBisector(b, c)
h, i = AngularBisector(a, b)
D = Intersect(h, d)
E = Intersect(d, f)
F = Intersect(f, h)
j = OrthogonalLine(D, a)
k = OrthogonalLine(E, c)
l = OrthogonalLine(F, b)
G = Intersect(b, l)
H = Intersect(k, c)
I = Intersect(j, a)
p = Circle(E, H)
q = Circle(F, G)
r = Circle(D, I)

Tool: Tr. Equil. su lato (command Treqlato)
Clicca sugli estremi in verso orario
Input: A, C
Output: poly2, a_1, c_1, D, d_1

d = Circle(C, A)
e = Circle(A, C)
D = Intersect(d, e, 2)
poly2, c_1, a_1, d_1 = Polygon(A, D, C)

Tool: Rapporto aureo (command Rapportoaureo)
Clicca sugli estremi del segmento
Input: A, B
Output: E

a = Segment(A, B)
b = OrthogonalLine(B, a)
M = Midpoint(a)
c = Circle(B, M)
C = Intersect(c, b, 2)
d = Segment(C, A)
e = Circle(C, B)
D = Intersect(e, d, 1)
f = Circle(A, D)
E = Intersect(f, a, 1)