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Published 20 Jul 2013

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What is the golden ratio explained and the golden spiral and the golden ratio in faces, art, nature, architecture and how to calculate it

The Golden Ratio: Nature's Perfect Proportions

What is a rich picture diagram — a group of people sketching a rich picture about planning a group holiday, showing connected ideas, icons, and notes on a large whiteboard to visualise a complex situation.

Rich Pictures: Making Sense of Complex Problems

The golden ratio is a mathematical proportion in nature, art, architecture, and design. It's a shortcut to proportions we seem to find innately pleasing. What Is the Golden Ratio? The golden ratio has an elegant mathematical definition: the ratio of the long over the short dimension is the same as both added together over the long dimension. It works out at around 1.618. This relationship creates a golden rectangle. If you remove a square from a golden rectangle, the remaining space is another golden rectangle. This process can continue indefinitely, forming the golden spiral. The Golden Ratio in Nature In nature, the golden spiral abounds. Find it in: The spiral of a nautilus shell The arrangement of sunflower seeds The spirals of hurricanes and galaxies The shape of some seashells and the growth patterns of cacti Some parts of our bodies also approximate the golden ratio. You can try these measures out yourself. For example, measure the ratios of: Your height to the height of your belly button — mine is 1.68 Your finger length (not thumb) to the distance to the second knuckle — mine is 1.68 So, if you know your height, you can make an educated guess at the height of your belly button without even measuring. The Golden Ratio in Art and Architecture Designers, artists and architects have used the golden ratio intuitively and intentionally for 1000s of years. So you can find the golden ratio in: The Pyramids of Giza and the Parthenon Leonardo da Vinci’s Mona Lisa the shapes of violins photography compositions corporate logos No wonder it's sometimes called the golden ratio of beauty. Using the Golden Ratio The golden ratio is a tool for balance and harmony. Using it in your craft—whether creating graphics, taking photos, or designing a website or building—can bring balance and harmony to your work. You can use the golden ratio to guide the layout of elements. Use the golden rectangle: Divide your design area into a golden rectangle. This gives you a framework for positioning your text, images, and other elements in a visually pleasing way. Spiral composition: Divide your golden rectangle into a golden spiral. Position key elements of your composition where the spiral leads for a flowing, natural composition. The spiral works well for web design, posters, or advertising, leading the viewer's eye through your content. Proportions and spacing: When designing logos, posters, or even UI layouts, using the golden ratio for the size relationships between text, images, and borders can create a sense of proportionality that feels balanced. You can also make use of the golden ratio in photography. Just as with the rule of thirds, you can use the ratio to frame your subjects, with focal points falling along key intersections. This can create harmony and depth in the shot. More Check out some golden ratio examples. Even Trump. This sketch features in my book Big Ideas Little Pictures along with 136 other fun and fascinating concepts. Related Ideas to the Golden Ratio Also see: The rule of thirds The Golden Circle Rückenfigur Isometric projection Orthographic projection Parallax One-Point Perspective, Two-Point Perspective, Three-Point Perspective Atmospheric PerspectiveThe golden ratio is a mathematical proportion in nature, art, architecture, and design. It's a shortcut to proportions we seem to find innately pleasing. What Is the Golden Ratio? The golden ratio has an elegant mathematical definition: the ratio of the long over the short dimension is the same as both added together over the long dimension. It works out at around 1.618. This relationship creates a golden rectangle. If you remove a square from a golden rectangle, the remaining space is another golden rectangle. This process can continue indefinitely, forming the golden spiral. The Golden Ratio in Nature In nature, the golden spiral abounds. Find it in: The spiral of a nautilus shell The arrangement of sunflower seeds The spirals of hurricanes and galaxies The shape of some seashells and the growth patterns of cacti Some parts of our bodies also approximate the golden ratio. You can try these measures out yourself. For example, measure the ratios of: Your height to the height of your belly button — mine is 1.68 Your finger length (not thumb) to the distance to the second knuckle — mine is 1.68 So, if you know your height, you can make an educated guess at the height of your belly button without even measuring. The Golden Ratio in Art and Architecture Designers, artists and architects have used the golden ratio intuitively and intentionally for 1000s of years. So you can find the golden ratio in: The Pyramids of Giza and the Parthenon Leonardo da Vinci’s Mona Lisa the shapes of violins photography compositions corporate logos No wonder it's sometimes called the golden ratio of beauty. Using the Golden Ratio The golden ratio is a tool for balance and harmony. Using it in your craft—whether creating graphics, taking photos, or designing a website or building—can bring balance and harmony to your work. You can use the golden ratio to guide the layout of elements. Use the golden rectangle: Divide your design area into a golden rectangle. This gives you a framework for positioning your text, images, and other elements in a visually pleasing way. Spiral composition: Divide your golden rectangle into a golden spiral. Position key elements of your composition where the spiral leads for a flowing, natural composition. The spiral works well for web design, posters, or advertising, leading the viewer's eye through your content. Proportions and spacing: When designing logos, posters, or even UI layouts, using the golden ratio for the size relationships between text, images, and borders can create a sense of proportionality that feels balanced. You can also make use of the golden ratio in photography. Just as with the rule of thirds, you can use the ratio to frame your subjects, with focal points falling along key intersections. This can create harmony and depth in the shot. More Check out some golden ratio examples. Even Trump. This sketch features in my book Big Ideas Little Pictures along with 136 other fun and fascinating concepts. Related Ideas to the Golden Ratio Also see: The rule of thirds The Golden Circle Rückenfigur Isometric projection Orthographic projection Parallax One-Point Perspective, Two-Point Perspective, Three-Point Perspective Atmospheric Perspective

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