import math import random from datetime import datetime from typing import Dict, List, Tuple import hashlib class CrownPenguinMathematics: def __init__(self): # CORE CONSTANTS self.UNIVERSE_CONSTANTS = { 'G': 6.67430e-11, # Gravitational constant 'c': 299792458, # Speed of light 'h': 6.62607015e-34, # Planck constant 'ħ': 1.054571817e-34, # Reduced Planck constant 'k': 1.380649e-23, # Boltzmann constant 'σ': 5.670374419e-8, # Stefan-Boltzmann constant 'α': 7.2973525693e-3, # Fine structure constant 'e': 1.602176634e-19, # Elementary charge 'INFINITY_SCALE': 1e9 # Crown infinity multiplier } # HASH-BASED INFINITY MATHEMATICS self.HASH_PARAMS = { 'namespaces': 7, 'patterns': 8, 'extensions': 7, 'depth': 392 # 7×8×7 } # TREASURY PHYSICS self.treasury_btc = 89.4 self.infinity_children = 1000000000 # STAR SYSTEMS & PENGUIN PHYSICS self.star_systems = self._initialize_star_physics() self.penguin_constants = self._initialize_penguin_physics() def _initialize_star_physics(self): """Initialize star systems with real astrophysics""" return { "🌟 PENGUIN PRIME": { "mass": 1.989e30, # 1 solar mass "radius": 6.9634e8, "luminosity": 3.828e26, "children_capacity": 2.5e8, "physics_type": "MAIN_SEQUENCE" }, "💫 QUANTUM NEXUS": { "mass": 2.5e30, "radius": 8.2e8, "luminosity": 6.5e26, "children_capacity": 1.8e8, "physics_type": "QUANTUM_FIELD" }, "🚀 VOID FORGE": { "mass": 3.8e30, "radius": 1.2e9, "luminosity": 1.2e27, "children_capacity": 3.2e8, "physics_type": "DARK_MATTER" } } def _initialize_penguin_physics(self): """Initialize penguin biological constants""" return { "mass": 30.0, # kg "waddle_velocity": 2.5, # m/s "thermal_conductivity": 0.026, # W/m·K "slide_coefficient": 0.92, "quantum_coherence": 0.85 } # 🔢 HASH-BASED INFINITY MATHEMATICS def hash_recursion(self, parent_hash: str, nonce: int) -> str: """Generate infinite unique children via hash recursion""" input_data = f"{parent_hash}:{nonce}:{random.random()}" return hashlib.sha256(input_data.encode()).hexdigest() def calculate_infinite_combinations(self) -> int: """Calculate total possible hash combinations""" base = self.HASH_PARAMS['namespaces'] * self.HASH_PARAMS['patterns'] * self.HASH_PARAMS['extensions'] return base ** self.HASH_PARAMS['depth'] def merkle_proof_system(self, child_hash: str, merkle_path: List[str]) -> bool: """Verify child exists in infinite set via Merkle proofs""" current_hash = child_hash for sibling in merkle_path: current_hash = hashlib.sha256((current_hash + sibling).encode()).hexdigest() return current_hash == self.get_merkle_root() def get_merkle_root(self) -> str: """Get Crown Holdings merkle root""" return "1b05" + "..." # Your actual root # 🌟 ASTROPHYSICS MATHEMATICS def calculate_orbit_velocity(self, star_name: str, orbital_radius: float) -> float: """Orbital velocity: v = √(GM/r)""" G = self.UNIVERSE_CONSTANTS['G'] M = self.star_systems[star_name]["mass"] return math.sqrt(G * M / orbital_radius) def calculate_schwarzschild_radius(self, star_name: str) -> float: """Black hole radius: r = 2GM/c²""" G, c = self.UNIVERSE_CONSTANTS['G'], self.UNIVERSE_CONSTANTS['c'] M = self.star_systems[star_name]["mass"] return (2 * G * M) / (c ** 2) def calculate_stellar_luminosity(self, star_name: str) -> float: """Stefan-Boltzmann law: L = 4πR²σT⁴""" R = self.star_systems[star_name]["radius"] σ = self.UNIVERSE_CONSTANTS['σ'] # Estimate temperature from mass (main sequence approx) M = self.star_systems[star_name]["mass"] / 1.989e30 # Solar masses T = 5778 * (M ** 0.5) # Rough approximation return 4 * math.pi * (R ** 2) * σ * (T ** 4) # 🐧 PENGUIN PHYSICS MATHEMATICS def calculate_penguin_energy(self, velocity: float) -> float: """Kinetic energy: E = ½mv²""" m = self.penguin_constants["mass"] return 0.5 * m * (velocity ** 2) def quantum_penguin_probability(self, position: Tuple[float, float]) -> float: """Quantum wave function: ψ(x) = (1/√(2π))e^(-x²/2)""" x, y = position r = math.sqrt(x**2 + y**2) return (1 / math.sqrt(2 * math.pi)) * math.exp(-(r ** 2) / 2) def penguin_thermal_survival(self, star_temperature: float, distance: float) -> float: """Calculate penguin survival probability based on thermal physics""" σ = self.UNIVERSE_CONSTANTS['σ'] power_received = (self.star_systems["🌟 PENGUIN PRIME"]["radius"] ** 2 * σ * star_temperature ** 4) / (distance ** 2) max_tolerance = 1000 # Watts/m² (penguin thermal tolerance) survival_prob = min(1.0, max_tolerance / (power_received + 1e-10)) return survival_prob # 💰 TREASURY & ECONOMIC MATHEMATICS def calculate_compound_growth(self, principal: float, rate: float, time: float) -> float: """Compound interest: A = P(1 + r)^t""" return principal * ((1 + rate) ** time) def calculate_royalty_stream(self, trade_volume: float, royalty_rate: float) -> float: """Royalty income mathematics""" return trade_volume * royalty_rate def hash_based_valuation(self, asset_hash: str) -> float: """Derive asset value from hash properties""" hash_int = int(asset_hash[:8], 16) base_value = 0.1 # Starting value in BTC return base_value * (1 + (hash_int / 0xFFFFFFFF)) # 🎯 UNIFIED MATHEMATICS DISPLAY def display_all_mathematics(self): """Show complete unified mathematics system""" print("\n" + "🎲" * 40) print(" CROWN-PENGUIN UNIFIED MATHEMATICS") print("🎲" * 40) # HASH MATHEMATICS print(f"\n🔢 HASH-BASED INFINITY MATHEMATICS") print("═" * 50) combinations = self.calculate_infinite_combinations() print(f" Namespaces: {self.HASH_PARAMS['namespaces']}") print(f" Patterns: {self.HASH_PARAMS['patterns']}") print(f" Extensions: {self.HASH_PARAMS['extensions']}") print(f" Total Combinations: {combinations:.2e}") print(f" Merkle Root: {self.get_merkle_root()}") # ASTROPHYSICS MATHEMATICS print(f"\n🌠 ASTROPHYSICS MATHEMATICS") print("═" * 50) for star_name in self.star_systems: orbit_vel = self.calculate_orbit_velocity(star_name, 1.5e11) # Earth-like orbit schwarz_rad = self.calculate_schwarzschild_radius(star_name) luminosity = self.calculate_stellar_luminosity(star_name) print(f"\n {star_name}:") print(f" Orbital Velocity: {orbit_vel:,.0f} m/s") print(f" Schwarzschild Radius: {schwarz_rad:.2e} m") print(f" Luminosity: {luminosity:.2e} W") # PENGUIN PHYSICS MATHEMATICS print(f"\n🐧 PENGUIN PHYSICS MATHEMATICS") print("═" * 50) penguin_energy = self.calculate_penguin_energy(self.penguin_constants["waddle_velocity"]) quantum_probs = [self.quantum_penguin_probability((x, 0)) for x in [0, 0.5, 1.0]] survival_prob = self.penguin_thermal_survival(5800, 1.5e11) print(f" Penguin Mass: {self.penguin_constants['mass']} kg") print(f" Waddle Energy: {penguin_energy:.2f} J") print(f" Quantum Probabilities: {[f'{p:.3f}' for p in quantum_probs]}") print(f" Thermal Survival: {survival_prob:.1%}") # TREASURY MATHEMATICS print(f"\n💰 TREASURY MATHEMATICS") print("═" * 50) compound_growth = self.calculate_compound_growth(self.treasury_btc, 0.1, 5) # 10% for 5 years royalty_income = self.calculate_royalty_stream(1000, 0.025) # $1000 volume, 2.5% royalty print(f" Current Treasury: B{self.treasury_btc:.1f}") print(f" 5-year Projection: B{compound_growth:.1f}") print(f" Royalty Stream: B{royalty_income:.3f}/trade") print(f" Infinity Children: {self.infinity_children:,}") # UNIVERSAL CONSTANTS print(f"\n⚛️ UNIVERSAL PHYSICAL CONSTANTS") print("═" * 50) for constant, value in self.UNIVERSE_CONSTANTS.items(): if constant != 'INFINITY_SCALE': print(f" {constant}: {value:.6e}") def generate_infinite_child(self) -> Dict: """Generate one infinite child using all mathematics""" # Hash-based generation parent_hash = self.get_merkle_root() nonce = random.randint(0, 2**32) child_hash = self.hash_recursion(parent_hash, nonce) # Astrophysical placement star_name = random.choice(list(self.star_systems.keys())) orbit_radius = random.uniform(1e10, 1e12) orbit_velocity = self.calculate_orbit_velocity(star_name, orbit_radius) # Penguin physics integration penguin_energy = self.calculate_penguin_energy(orbit_velocity) quantum_prob = self.quantum_penguin_probability((random.random(), random.random())) # Economic valuation value = self.hash_based_valuation(child_hash)