初始化项目，由ModelHub XC社区提供模型

Model: Brunobkr/OFFELLIA_Quantis
Source: Original Platform

SACRED_TOTIENT_42Fn.py

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+import os
+import math
+import numpy as np
+import matplotlib.pyplot as plt
+from math import sin, pi, sqrt
+from collections import defaultdict
+
+# ===============================
+# CONFIGURAÇÕES FUNDAMENTAIS
+# ===============================
+
+PHI = (1 + sqrt(5)) / 2
+MOD = 42
+BRACOS_42 = list(range(42))
+# ===============================
+# UTILIDADES
+# ===============================
+
+def is_prime(n):
+    if n < 2:
+        return False
+    for i in range(2, int(sqrt(n)) + 1):
+        if n % i == 0:
+            return False
+    return True
+
+def helicoidal_fn(n, r):
+    x = (n - r) / MOD
+    return sin(2 * pi * PHI * x) ** 2
+
+# ===============================
+# ENTRADA DO USUÁRIO
+# ===============================
+
+N = int(input("Limite máximo N (ex: 100000): "))
+IGNORE_PRIMES = input("Ignorar primos? (s/n): ").lower() == "s"
+EXPORT_TXT = input("Exportar dados TXT? (s/n): ").lower() == "s"
+
+# ===============================
+# PREPARAÇÃO DE PASTAS
+# ===============================
+
+BASE_DIR = "SACRED_TOTIENT_V2_OUTPUT"
+SUBDIRS = ["plots_2D", "plots_3D", "plots_fractal", "data_txt"]
+
+for d in SUBDIRS:
+    os.makedirs(os.path.join(BASE_DIR, d), exist_ok=True)
+
+# ===============================
+# CÁLCULO PRINCIPAL
+# ===============================
+
+dados = []
+
+por_braco = defaultdict(list)
+
+for n in range(1, N + 1):
+    r = n % 42            # braço geométrico real (0..41)
+    fn = helicoidal_fn(n, r)
+
+    theta = 2 * pi * r / 42
+    raio = fn
+    z = n
+
+    dados.append((n, r, fn, theta, raio, z))
+    por_braco[r].append((n, fn, theta, raio, z))
+
+
+# ===============================
+# GRÁFICOS 2D GERAIS
+# ===============================
+
+ns = [d[0] for d in dados]
+fns = [d[2] for d in dados]
+
+plt.figure()
+plt.scatter(ns, fns, s=1)
+plt.title("Distribuição Global Fn")
+plt.xlabel("n")
+plt.ylabel("Fn")
+plt.savefig(f"{BASE_DIR}/plots_2D/Fn_global.png")
+plt.close()
+
+# ===============================
+# GRÁFICOS POR BRAÇO
+# ===============================
+
+for r, vals in por_braco.items():
+    ns_r = [v[0] for v in vals]
+    fns_r = [v[1] for v in vals]
+
+    plt.figure()
+    plt.scatter(ns_r, fns_r, s=2)
+    plt.title(f"Fn - Braço r={r}")
+    plt.xlabel("n")
+    plt.ylabel("Fn")
+    plt.savefig(f"{BASE_DIR}/plots_2D/Fn_braco_{r}.png")
+    plt.close()
+
+# ===============================
+# HÉLICE 3D GLOBAL
+# ===============================
+
+from mpl_toolkits.mplot3d import Axes3D
+
+fig = plt.figure()
+ax = fig.add_subplot(111, projection='3d')
+
+xs = [d[3] * math.cos(d[3]) for d in dados]
+ys = [d[3] * math.sin(d[3]) for d in dados]
+zs = [d[5] for d in dados]
+
+ax.scatter(xs, ys, zs, s=1)
+ax.set_title("Hélice Helicoidal Global Fn")
+ax.set_xlabel("X")
+ax.set_ylabel("Y")
+ax.set_zlabel("n")
+
+plt.savefig(f"{BASE_DIR}/plots_3D/helice_global.png")
+plt.close()
+
+# ===============================
+# FRACTAL – ZOOM LOCAL
+# ===============================
+
+zoom_lim = min(N, 230539333248)
+zoom_ns = ns[:zoom_lim]
+zoom_fns = fns[:zoom_lim]
+
+plt.figure()
+plt.scatter(zoom_ns, zoom_fns, s=2)
+plt.title("Zoom Fractal Inicial Fn")
+plt.xlabel("n")
+plt.ylabel("Fn")
+plt.savefig(f"{BASE_DIR}/plots_fractal/zoom_fractal_inicial.png")
+plt.close()
+
+# ===============================
+# EXPORTAÇÃO TXT
+# ===============================
+
+if EXPORT_TXT:
+    with open(f"{BASE_DIR}/data_txt/dados_completos.txt", "w") as f:
+        f.write("n,r,Fn,theta,raio,z\n")
+        for d in dados:
+            f.write(",".join(map(str, d)) + "\n")
+
+print("\n=== SACRED TOTIENT FN HELICOIDAL V2 FINALIZADO ===")
+print(f"Total de pontos analisados: {len(dados)}")
+print("Resultados salvos em:", BASE_DIR)