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

German Typography History

By Carl Shank • August 31, 2026
German Typography History German typography has a particularly distinctive history because Germany was central to the invention of European movable-type printing, the development of Gothic/Blackletter typography, the rise of Fraktur, and later the modernist rejection of traditional German type. The story therefore moves dramatically from manuscript Gothic forms to highly ornate Fraktur, then to Bauhaus modernism and finally to contemporary digital typography. The history can be understood as a series of major transformations, as noted in ChatGPT, Gothic manuscript → Gutenberg → Schwabacher → Fraktur → Roman/Gothic duality → nineteenth-century industrial typography → Bauhaus modernism → New Typography → postwar modernism → digital pluralism. What makes German typography particularly fascinating is that the political and cultural meaning of type was unusually strong. Fraktur was not simply a letterform; over time it became associated with German language and identity, while the twentieth-century modernists deliberately sought to replace that historical visual language with an international, functional one. If you're studying European typography comparatively, German typography makes an especially useful contrast with Italian, French, Dutch, and English typography, because Germany's long attachment to Gothic type produced a very different trajectory from the Roman-type tradition that developed in Italy and subsequently dominated much of Western Europe. A number of Blogs I have written gives one an insight as to German historical typography and its central typographic characters, including typefaces and notes about Johannes Gutenberg, Marin Luther in Gothic type, Fraktur type and its extensive use in Germany, Rudolph Koch, the Bauhaus period with Herbert Bayer and Paul Renner, Futura, Jan Tschichold and Die Neue Typographie, and the influence of the Akzidenz-Grotesk font and its relationship to Helvetica, Univers, Neue Haas Grotesk, and Arial. Blogs that inform — Advance in Typography: Twentieth Century (Part 1) Type After Gutenberg: A Historical Sketch Theology of Type (2): Gutenberg to Early 1900s Early German Typography (Part 1) Early German Typography (Part 2 ) Blackletter Type & Universities About Sans-Serif Fonts Typography: A History of Machines Contemporary German Typography. Contemporary Germany has become one of Europe's major centers of type design. Important contemporary designers and foundries include Erik Spiekermann. Erik Spiekermann (born1947)( is a German art historian, typographer, designer, information architect and writer. He divides his time between Berlin, London and San Francisco. He runs Hacking Gutenberg, an experimental letterpress printing workshop in Berlin. He wrote Stop Stealing Sheep & Find Out How Type Works , a book on typography first published in 1993, revised 4th edition 2023. Spiekermann has designed numerous typefaces, both for sale and as part of corporate design programs. His typefaces include Berliner Grotesk (original is from 1913, digitization is from c. 1978), Fira Sans (designed in collaboration with Ralph du Carrois) for Firefox OS, released in 2013 under the SIL Open Font License), ITC Officina Sans and Serif fonts (1990), and FF Meta. FF Meta is especially interesting, as one of the fonts illustrated by axis-praxis for variable font use. It has 28 Instances offered through Adobe, from Condensed through Black, and a Variable font from Monotype. Spiekermann’s work emphasizes information clarity, signage, corporate identity, wayfinding, and digital typography. In German typography, wayfinding refers to the use of typography, symbols, color, spatial organization, and signs to help people navigate a physical environment. It is closely associated with Germany’s strong tradition of functionalist and systematic graphic design. Modern German typography is characterized by pluralism rather than a single national style. Contemporary designers freely use sans serifs, serif typefaces, variable fonts, neo-grotesques, geometric sans serifs, humanist sans serifs, contemporary revivals of Fraktur, experimental lettering, and digital display fonts. Fraktur remains visible in specialized contexts such as traditional breweries, historic businesses, newspapers and publications with historical associations, certificates, Blackletter music and cultural graphics, and Gothic/medieval-themed design, However, it is no longer the default German text type.

Italian Typography History (2)

By Carl Shank • August 29, 2026
Italian Typography and Futurism. One of Italy's most important contributions to twentieth-century graphic design came from Futurism. Beginning around 1909, Italian Futurists challenged conventional typography. The most important figure was Filippo Tommaso Marinetti. His Zang Tumb Tumb and related works used typography dynamically rather than simply as a vehicle for continuous reading. Zang Tumb Tumb is a sound and concrete poem appearing in journals between 1912 and 1914, when it was published as an artist’s book in Milan. It is an account of the Battle of Adrianople. The poem uses Parole in libertà (words in freedom; creative typography) and other poetic impressions of the events of the battle, including the sounds of gunfire and explosions. The work is now seen as a seminal work of modernist art, and an enormous influence on the emerging culture of European avant-garde print. (Wikipedia)
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