Golden ratio
The golden ratio is the positive irrational number (1 + √5) / 2, whose defining proportion equates the whole-to-larger-part and larger-to-smaller-part ratios.
Building Quantum Software with Python
The irrational number equal to (1 + √5) / 2, approached by ratios of consecutive Fibonacci numbers.
- How it is used
- Connects Fibonacci counting to quantum outcome selection by suppressing invalid binary outcomes.
- How deep it goes
- Defines the ratio, derives a Fibonacci recurrence from binary-string cases, and implements both sequence and circuit versions.
- Examples
- Uses valid strings for one to three qubits, recursive Fibonacci output, and a circuit tested on one and two qubits.
- What you can do after
- Evaluate/understand golden-ratio convergence and inspect a quantum circuit that produces the associated valid-outcome distribution.
Read how Building Quantum Software with Python explains golden ratio →
WordPress Power Toolkit: Harness AI to build next-level websites
The golden ratio is the irrational proportion approximately equal to 1.618 that divides a whole into parts whose ratio matches the ratio of the larger part to the smaller part.
- How it is used
- Uses the golden ratio as a design rule for positioning subjects and balancing images or web pages.
- How deep it goes
- Explains the proportion through a formula and building calculation without providing a mathematical derivation.
- Examples
- Shows sunflowers, DNA, seashells, a building calculation, and Photoshop's cropping grid as examples or applications.
- What you can do after
- Apply it via Photoshop's cropping grid or the 1.618 formula when composing images and visual layouts.
Read how WordPress Power Toolkit: Harness AI to build next-level websites explains golden ratio →
Related concepts
- ratiokind of · A ratio is a quantitative comparison of two quantities expressed through their relative sizes or quotient.
- modular scaleproduces · A modular scale is a sequence of related sizes generated by applying a consistent ratio to establish typographic hierarchy.
- Fibonacci sequenceproduced by · The Fibonacci sequence is a sequence in which each term after the first two is the sum of its two predecessors, with initial terms conventionally 0 and 1 or 1 and 1.
- type scaleused by · A typographic scale is an ordered set of font sizes related by a consistent proportional or mathematical progression.
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