Cut a shaft with sixteen shallow flutes or facets, give it a square abacus and a low round base: the “proto-Doric” column of the Middle Kingdom rock tombs at Beni Hasan.
Rules · Spacing · Columns · Proportion
The five intercolumniations
Columns may be spaced 1½ diameters apart (pycnostyle), 2 (systyle), 2¼ (eustyle), 3 (diastyle) or more (araeostyle). The eustyle, with a wider central bay of 3 diameters, is the best for use and beauty.
clear space = 1½ · 2 · 2¼ · 3 · >3 D
Close spacing makes a dignified, dense colonnade but blocks the way: matrons walking arm in arm, says Vitruvius, cannot pass between the columns. Wide spacing is convenient but a stone architrave cannot span it, so araeostyle temples need timber beams and look low and broad.
Spacing and slenderness go together: the columns of a pycnostyle temple should be 10 diameters high, of a systyle or eustyle 9½, of a diastyle 8½ and of an araeostyle 8 (III.3.10), because columns seen against wider gaps of air look thinner and must be made stouter.
Related rules
Plan the principal hall as a long rectangle entered on its short side through a porch with two columns between the side walls and a vestibule, and put a great round hearth in the centre of the hall, ringed by four columns carrying a raised roof.
An arch pushes outward on its supports as well as down. For the same load and span the horizontal push grows as the rise falls: halve the rise and you roughly double the thrust.
H ≈ w·s² ⁄ 8f (uniform load w per metre, span s, rise f)
To find how thick the pier of an arch must be, divide the intrados into three equal parts; draw a line from the springing through the first division, and produce it beyond the springing by its own length. A vertical through the end of that line marks the outer face of the pier.
pier ≈ ¼ span (semicircle) · ≈ 0.23 span (equilateral) · less for a lancet
Make the corner columns thicker than the rest by a fiftieth of their diameter, because, seen against the open sky, they look thinner than they are.
D corner = D × (1 + 1⁄50); Parthenon: 1.95 m against 1.905 m
Set the outer columns so that they incline slightly inward, toward the cella wall, the middle columns of the fronts plumb on their own axes and the corner columns leaning both ways.
Parthenon: lean ≈ 6–7 cm over 10.43 m (≈ 1 : 150); the axes would meet some 2 km above the ground
Cite this page Chris Paton, “The five intercolumniations”, The Textbook of Architecture, https://textbookofarchitecture.com/rule/vitruvius-intercolumniation. Text, drawings and models licensed under CC BY-NC 4.0.