Golden ratio

As explained in 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.

The golden ratio is a proportion of about 1.618, used as a design rule to create balanced, dynamic images and web pages. Divide a whole so that the larger part relates to the smaller part as the whole relates to the larger part. section 6.8.4

A practical proportion

Use the formula a/b = 1.618. If a building is 25 feet wide, treat 25 as b and calculate its approximate height as 25 × 1.618 = 40.45 feet. For images, Photoshop provides a golden-ratio cropping grid to help position subjects. section 6.8.4

Figure 6.16 The famous golden ratio emerges in nature but is also used in art, architecture, fashion, and film. This shell was generated by AI. And it couldn’t exist in nature. Can you see why not?

Use the figure to connect the golden ratio with patterns in nature and its applications in art, architecture, fashion, and film. section 6.8.4

How WordPress Power Toolkit: Harness AI to build next-level websites covers it

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.

How it connects

Connects the golden ratio to golden spirals, Fibonacci spirals, the rule of thirds, composition, and minimalism.

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Also explained in

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  liveBookmanning.com
  Building Quantum Software with PythonThe irrational number equal to (1 + √5) / 2, approached by ratios of consecutive Fibonacci numbers.

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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.

This explainer was generated by Manning's knowledge graph from the text of WordPress Power Toolkit: Harness AI to build next-level websites. The section links point to the parts of the book it draws on.