Phi Symbol \u03C6 Copy & Paste: Golden Ratio & Greek Letter
Phi is the symbol of the golden ratio, one of the most famous numbers in mathematics and design. The lowercase \u03C6 represents this irrational number (approximately 1.618) that appears in nature, art, architecture, and even financial markets. Every phi variant is below, ready to copy.
All Phi Symbols
| Symbol | Name | Unicode | Copy |
|---|---|---|---|
| φ | Small Phi (Golden Ratio) | U+03C6 | φ |
| Φ | Capital Phi | U+03A6 | Φ |
| ϕ | Phi Symbol (straight form) | U+03D5 | ϕ |
| ϖ | Phi Symbol (variant) | U+03D6 | ϖ |
The Golden Ratio (1.618...)
Phi is most famous as the symbol for the golden ratio, an irrational number approximately equal to 1.6180339887. It is often called the "divine proportion" because of its frequent appearance in nature and its aesthetic appeal in design.
The golden ratio occurs when a line is divided into two parts such that the ratio of the longer part to the shorter part equals the ratio of the whole line to the longer part. Mathematically: (a + b) / a = a / b = \u03C6.
Where the Golden Ratio Appears
- Nature: Spiral shells, sunflower seed patterns, pinecone scales, galaxy arms
- Art: Leonardo da Vinci's Vitruvian Man, the Parthenon, Renaissance paintings
- Architecture: Notre-Dame, the Taj Mahal, the UN building
- Design: Apple logo, Twitter logo, many modern UI layouts
- Photography: The "phi grid" used for composition
- Finance: Fibonacci retracement levels in technical analysis
Other Uses of Phi
Mathematics
- Euler's totient function: \u03C6(n) counts integers up to n that are coprime with n
- Probability: The cumulative distribution function of the standard normal distribution
- Complex numbers: Phase angle in polar representation
Physics
- Quantum mechanics: Wave function phase
- Electromagnetism: Electric potential and magnetic flux
- Fluid dynamics: Velocity potential
- Thermodynamics: Relative humidity equation
Engineering
- Electrical: Phase difference between voltage and current
- Mechanical: Friction angle in geotechnical engineering
- Signal processing: Phase of a sinusoidal wave
How to Type Phi on Keyboard
Windows
- Alt codes: Hold Alt, type 237 for \u03C6, or Alt + 232 for \u03A6 (numeric keypad)
- Character Map: Search "phi," select and copy
- Word: Insert > Symbol > Greek and Coptic > Phi
Mac
- Character Viewer: Control+Command+Space, search "phi"
- Greek keyboard: Press "f" for \u03C6, Shift+F for \u03A6
Mobile
Copy from this page or add a Greek keyboard. On the Greek keyboard, \u03C6 maps to the "f" key.
LaTeX Commands
| Symbol | Command | Output |
|---|---|---|
| Small Phi | \phi | φ |
| Capital Phi | \Phi | Φ |
| Variant Phi | \varphi | ϕ |
HTML Entities
| Render | Named Entity | Decimal Code |
|---|---|---|
| φ | φ | φ |
| Φ | Φ | Φ |
| ϕ | ϕ | ϕ |
Quick Copy Section
All phi symbols in one place:
φ Φ ϕ ϖ
Highlight, copy, paste. The golden ratio at your fingertips.