Part of Cosmos: Blueprint & AI Tools

👽 Drake Equation Solver

Estimate the number of active, communicative extraterrestrial civilizations.

R* (Star Rate)

fp (Planets %)

ne (Habitable)

fl (Life Evolves)

fi (Intel)

fc (Comm)

L (Years Active)

⏳ Relativity (Time Dilation)

Time on Earth (Years)

Velocity (% of Speed of Light)

Traveler's Time Experienced

4.36 yrs

📐 Golden Ratio Designer

Total Width (px)

A (61.8%)

618

B (38.2%)

382

⚫ Schwarzschild Radius

Event horizon radius of a black hole

Mass (Solar Masses)

Event Horizon Radius

29.5 km

🛸 Orbital Velocity

Velocity needed to orbit a body

Body Mass (Earth Masses)

Orbital Altitude (km)

Required Velocity

7.67 km/s

🚀 Escape Velocity

Speed needed to escape gravity

Mass (Earth Masses)

Radius (Earth Radii)

Escape Velocity

11.2 km/s

🔢 Prime Factorization

Factor number into primes

Prime Factors

2² × 3 × 7

🔲 Matrix Operations (2×2)

Determinant and Inverse

Matrix Elements

Determinant

5

Inverse Matrix

[0.8, -0.6]
[-0.2, 0.4]

🌀 Fibonacci Sequence

Generate Fibonacci numbers

Terms (max 20)

Sequence

0, 1, 1, 2, 3, 5, 8, 13, 21, 34

🔗 GCD & LCM

Greatest Common Divisor & LCM

GCD

6

LCM

144

🎲 Permutations & Combinations

Calculate nPr and nCr

nPr

720

nCr

120

📐 Trigonometry

Calculate sin, cos, tan

Angle (degrees)

sin

0.707

cos

0.707

tan

1.000

📊 Statistics

Mean, Median, Mode, Std Dev

Mean

5.0

Median

4.5

Mode

4

Std Dev

2.14

🎰 Random Number Generator

Generate random numbers

Count

Numbers

42, 17, 89, 3, 56

📏 Distance Between Points

Calculate 2D distance

Distance

5.00

📉 Slope Calculator

Find slope between points

Slope (m)

2.00

📐 Area & Volume

Circle and Sphere

Radius

Circle Area

78.54

Sphere Volume

523.60

🔄 Unit Converter

Km / Miles / Meters / Feet

Result

62.14 miles

🔺 Pythagorean Theorem

Find missing side

Hypotenuse (c)

5.00

🔬 Scientific Notation

Convert to/from Sci Not

Scientific Notation

1.5 × 10⁸

📊 Stock Analysis

Simulate stock price with SMA/EMA indicators

Initial Price ($)

Volatility (%)

Days

💹 Options Pricing

Black-Scholes option calculator

Call Price

$7.97

Put Price

$8.12

🏦 Loan Amortization

Calculate amortization schedule

Loan Amount ($)

Rate (%)

Years

Monthly Payment

$1,013

Total Interest

$164,813

💼 Portfolio Optimizer

Calculate optimal asset allocation

Total Investment ($)

Risk Tolerance (1-10)

5

Recommended Allocation

Stocks: 50% ($5,000)

Bonds: 30% ($3,000)

Cash: 20% ($2,000)

💵 DCF Calculator

Discounted Cash Flow valuation

Annual Cash Flow ($)

Growth Rate (%)

Discount Rate (%)

Years

Net Present Value

$42,124

🏖️ Retirement Planner

Plan your retirement savings

Current Age

Retirement Age

Monthly Savings ($)

Expected Return (%/year)

Retirement Savings

$1,142,811

₿ Bitcoin Mining Calculator

Estimate mining profitability

Hash Rate (TH/s)

Power (Watts)

Electricity Cost ($/kWh)

BTC Price ($)

Daily Profit

$28.54

Monthly Profit

$856.20

🪙 Crypto Portfolio Tracker

Multi-coin portfolio PnL

BTC Amount

ETH Amount

SOL Amount

Total Value

$35,000

⛏️ Hash Rate Converter

Convert mining hash rates

Hash Rate

Result

100,000 GH/s

⛽ Gas Fee Estimator

Ethereum transaction cost

Gas Limit

Gas Price (Gwei)

ETH Price ($)

Fee (ETH)

0.00063

Fee (USD)

$1.58

📈 DCA Calculator

Dollar-cost averaging analyzer

Investment per Period ($)

Number of Periods

Average Return (%/period)

Total Invested

$1,200

Final Value

$1,358

📉 Linear Regression

Find best-fit line with R² score

X values (comma-separated)

Y values (comma-separated)

Slope (m)

0.60

Intercept (b)

2.20

R²

0.64

y = 0.60x + 2.20

🔗 Correlation Matrix

Pearson correlation coefficient

Dataset 1

Dataset 2

Correlation (r)

1.00

Perfect Positive

🔬 Hypothesis Testing

Two-sample t-test

Sample 1

Sample 2

t-statistic

2.24

p-value

0.054

Not significant at α=0.05

🎯 K-Means Clustering

Simple clustering demo

Data Points (x,y pairs)

Number of Clusters (K)

Cluster Assignments

Cluster 1: (1,2), (3,4), (5,6)
Cluster 2: (10,12), (11,13), (12,14)

🌌 N-Body Gravity Simulator

Gravitational dynamics simulation

Bodies

Steps

Time Step

Ready to simulate

🦠 Epidemic Model (SIR)

Disease spread simulation

Population

β (contact rate)

γ (recovery)

Days

🎲 Monte Carlo Pi

Estimate π using random sampling

Number of Points

Estimated π

3.1416

Error: 0.00%

#️⃣ Hash Generator

MD5, SHA-256, SHA-512 hashing

Input Text

SHA-256

-

SHA-512 (truncated)

-

🔒 Password Strength

Entropy-based analysis

Password

Strength

-

Length

0

Entropy (bits)

0

🔢 Base Converter

Bin ↔ Oct ↔ Dec ↔ Hex

Decimal Number

Binary

11111111

Octal

377

Hexadecimal

FF

⚡ Big O Analyzer

Algorithm complexity visualizer

Select Complexity

Description

Constant time - best performance

The Math Lab