Grids, Type and the Golden Ratio

Carl Shank • April 28, 2022

What does the Golden Ratio Have to Do With Type and Layout?

One of the wonders of  how to shape a page in layout work and typesetting has to do with what is called The Golden Ratio. This is a mathematical and organic ratio of 1:1.618... found inherent in simple geometric figures, like the equilateral triangle, the square, the regular pentagon [See Example 1 Below], hexagon and octagon. Not only are these dimensions pleasing to the human eye and sense, they are found universally in many aspects of nature, like the the pine cone, sunflower, hurricanes, seashells and even the human brain [See Example 2 Below]. Robert Bringhurst in his masterful The Elements of Typographic Style notes that the Golden Ratio and other proportions "occur repeatedly in nature, and pages that embody them recur in manuscripts and books from Renaissance Europe, Táng and Sòng Dynasty China, early Egypt, pre-Columbian Mexico and Ancient Rome. It seems that the beauty of these proportions is more than a matter of regional taste or immediate fashion. . . Working and playing with them is  a way of developing good typographical instinct, and they serve as useful references in analyzing old designs and calculating new ones." (p. 130)


Typographers have been using the Golden Mean and Golden Ratio, therefore, for centuries. Laying out a page with such a proportion is not merely good typography but resonates with our brains and our inner sense of proportion in the universe. Indeed, "a 2019 study from John Hopkins University compared 100 human skulls. The Nasioniac arc connects the tip of the nasal bone to the inion, a small bump on the back of the skull, and the Bregma is a curve on the top of the skull that follows a similar path that a headband would. In all of the 100 skulls researchers studied, they found that the bisection of these points creates two arcs whose distances exhibit the Golden Ratio." (Louise Holway, "The Golden Ratio: Myth or Magic of Mathematics," Nu Sci Magazine: Northeastern University's Student Run Science Magazine, April 22, 2021) In other words, our brains are "hard wired" to notice this ratio universally, certainly in page layout projects.


Forming grids on pages that are pleasing to the eye should take such proportions as the Golden Ratio into account. Note the Examples below for such a layout. To be sure, modern magazine layouts are not slavishly tied to such proportions, but our aesthetic sensibilities often demand them and we can see things as "off" in page layouts without them.

Successful Layout & Design

Advances in Typography: Twentieth Century A Historical Sketch (Part 2)

By Carl Shank • December 1, 2025
Mid-Century Modernism & Corporate Typography (1945–1980) Designers like Jan Tschichold were foundational to many of the Swiss design principles. This style evolved from Constructivist, De Stijl and Bauhaus design principles, particularly the ideas of grid systems, sans-serif type and minimalism. Emerging in Switzerland during the 1940s and 1950s, this typography, also known as the International Typographic Style, directly responded to the type chaos of Dada and the stylization of Art Deco. The International Typographic Style (or the Swiss Style) in the 1950s and 1960s focused on grid systems, objective communication and sans-serifs. Key figures were Josef Muller-Brockmann, Emil Ruder and Armin Hofmann. The Swiss style emphasized readability, visual harmony and universality. Clarity, objectivity and functionality were key components. Contributors included Max Miedinger, creator of the Helvetica typeface (1957 by Miedinger & Eduard Hoffmann), and Adrian Frutiger, creator of the Univers typeface in 1957, and Hermann Zapf, creator of Optima in 1958. Swiss style became the dominant graphic language of postwar corporate identity. Other Blogs I have written noted the development of Helvetica ( “Helvetica’s Journey” July 13, 2024 ). Adrian Frutiger (1928–2015) was a Swiss typeface designer whose career spanned hot metal, phototypesetting and digital typesetting eras. Frutiger’s most famous designs, Univers, Frutiger and Avenir, are landmark sans-serif families spanning the three main genres of sans-serif typefaces —neogrotesque, humanist and geometric. Univers is a clear, objective form suitable for typesetting of longer texts in the sans-serif style. Starting from old sketches from his student days at the School for the Applied Arts in Zurich, he created the Univers type family. Folded into the Linotype collection in the 1980s, Univers has been updated to Univers Next, available with 59 weights. This lasting legible font is suitable for almost any typographic need. It combines well with Old Style fonts like Janson, Meridien, and Sabon, Slab Serif fonts like Egyptienne F, Script and Brush fonts like Brush Script, Blackletter fonts like Duc De Berry, Grace, San Marco and even some fun fonts. Univers is not a “free” font and must be purchased from Linotype. Other faces by Frutiger are Frutiger and Avenir. These fonts were designed to be legible, versatile and anonymous, avoiding stylistic “noise” to focus on clear communication. Swiss type used a systematized approach to typography, enabling consistent spacing, alignment and hierarchy, crucial for multilingual and complex layouts. Typography was seen as part of a harmonious, modern composition. Generous white space facilitated clarity and focus.

Advances in Typography: Twentieth Century (Part 1)

By Carl Shank • December 1, 2025
Advances in Typography: Twentieth Century A Historical Sketch (Part 1 ) Early Twentieth Century: Form Follows Function Bauhaus Precursor The Deutscher Werkbund (German Work Foundation, est. 1907, Munich) was a pivotal German association of artists, architects, designers, and industrialists that advanced rational, industrial design and laid the foundation for modernist sans-serifs. The Werkbund emphasized functionalism, simplicity, honest use of materials, and alignment with industrial production, rejecting unnecessary ornamentation and anticipating the principle “form follows function.” Its purpose was to elevate German industrial products by integrating artistic excellence, technical innovation, and industrial manufacturing, summarized by the motto: “From work to form”—good design as a cultural and economic asset. Key founders included Hermann Muthesius, Peter Behrens, Fritz Schumacher, and Karl Schmidt. Their goals were to enhance everyday objects through quality design, foster a unified visual culture in Germany, partner artists with industrial manufacturers, promote standardization and modern production techniques, and compete internationally in design excellence. The Werkbund is recognized as a precursor to the Bauhaus and modern industrial design. Notable members included Walter Gropius, Ludwig Mies van der Rohe, and Peter Behrens. The organization established principles of functional, simplified forms, standardized mass production, and the concept of design as a cultural force. They hosted influential exhibitions, notably the 1914 Cologne Exhibition, as well as publishing journals and defining standards for high-quality design. Futura & Geometric Modernism (1920s–1930s) As we saw in my last post, between 1500 and 1900 typography evolved from Renaissance humanist forms to industrial mass production and artistic revival. Old style typefaces (like Garamond) moved to Transitional faces (like Baskerville) to Modern/Didone faces (like Didot and Bodoni) to Industrial display types (fat faces, slab serifs, sans serifs) to the Arts & Crafts revivals. Art Nouveau was a reaction against the academicism, eclecticism and historicism of nineteenth century architecture and decorative art. The new art movement had its roots in Britain, in the floral designs of William Morris, and in the Arts and Crafts movement founded by the pupils of Morris.
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