φ Phi


De Divina Proportione

Van de Graaf's 'Secret Canon' for single-column broadsheet. The text area is not in proportion to the page, because the back margins which normally form a central gutter dividing verso & recto facing pages are incorporated into the main text area. The left foredge, top and foot margins end up being the same as verso/recto book layout, however.

Van de Graaf's canon works on pages of any proportion, which is well-suited to scrolling media like the web. Although they arrived at the construction independently, Van de Graaf's and Raúl Rosarivo's canons are identical, being based on a division of the page into ninths. Van de Graaf arrived at his canon by utilising the technique of Villard de Honnecourt, according Tschichold and others. The attribution of this geomtry to Honnecourt (aka the Villard Diagram) seems tenuous, at best. Of the 33 sheets of parchment that remain of Honnecourt's work, none contain the so-called Villard Diagram, or demonstrate any method of page layout.



Fine art photography prints are often framed using the "optical center" instead of having equal margins at the top and bottom of the mat. Using a canon of construction for the optical center described by [blah], the print is made to sit slightly above center, so it avoids looking too heavy in the frame and has a lighter poise. At a casual glance it feels more centered than true centering does.


φ de divina proportione

Van de Graaf canon for verso / recto facing pages, auto-balanced, with text area in the same proportion as the page.

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Manually set, intentionally unbalanced verso/recto layout using 'row' and 'page' classes. The outer margins are established by the vandegraaf class but the back margins are set by the "page" class. I'd prefer to have margins integral to the page, but the problem is, floated divs with differing heights have their margins (padding actually) calculated according to their own height and not the height of the encompassing vandegraaf "book".

This should be useful for creating a text column with illustrations, etc. in the adjacent column, but with whitespace between them. Not sure if there is a better way to do it; this works for now. Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.

φ de divina proportione

Tschichold's "Golden Canon" adapted to a single-column, variable-height broadsheet layout with margins in 3/4/6 proportion. The text area does not conform to the Golden Section because the height is indeterminate, but Tschichold seemed to be as concerned with the proportions of the page margins as with the proportions of the text area.

The resulting modified Tschichold canon can be used with a Golden Rectangle containing an image, for example, to reproduce the proportions of his original construction. The image below is cropped in the Golden Section with margins in the proportion 3/4/6.


φ de divina proportione

Tschichold octavo recto verso. Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

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This is a page on tschichold, manually balanced. Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

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We can, for example, do things like this: pinning another illustration or photo adjacent to a new paragraph of text.

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Experimental columns based on the golden ratio. Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

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Neo-Tschichold: proposed single-column broadsheet layout based on the Golden Ratio and Tschichold's margins. The centred text area is equal to "a" in the equation for Phi, a/b=(a+b)/a. The left & right margins together combine to equal ~38% of the page, "b" in the equation. The top and footer margins are based on Tschichold's 3/4/6 margin ratios.

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Optical Center with Width based on Golden Ratio


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