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The Square and the Roman House: Architecture and Decoration at Pompeii and Herculaneum

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Architecture and Mathematics from Antiquity to the Future

Abstract

The domus is the ancient Roman single-family urban house type, best known from the excavations at Pompeii and Herculaneum. Analysis of a number of houses at these sites suggests that two simple geometric systems, both based on the square, underlie the design of the Roman house at all scales. One of these is the ad quadratum, or square root of 2 progression. A related system is known as the “sacred cut.” These geometric systems explain the proportional relationships that are found in the overall shape of the house site and its organization and subdivision. The geometry and dimensions based on the “regulating square” of the house as a whole appears to determine the proportions of volumes of space throughout the house. These systems apply to the composition of the wall painting and pavement patterns within the rooms as well.

First published as: Carol Martin Watts, “The Square and the Roman House: Architecture and Decoration at Pompeii and Herculaneum”, pp. 167–181 in Nexus I: Architecture and Mathematics, ed. Kim Williams, Fucecchio (Florence): Edizioni dell’Erba, 1996.

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Notes

  1. 1.

    Case study houses included the houses of the Labyrinth, L. Ceius Secundus, Tragic Poet, M. Lucretius Pronto, Vettii, Faun and Sallustius at Pompeii, and the houses of the Carbonized Furniture, Samnite, Tuscan Colonnade, Wooden Partition, and Bicentenary at Herculaneum. For the larger study of which the geometric analysis forms a part, see Watts (1987).

  2. 2.

    Similar geometric systems were also found in apartments and apartment complexes (insulae) at Ostia Antica, near Rome. See Watts and Watts (1987); see also Watts and Watts (1986).

  3. 3.

    The Oscan foot, used in the earliest houses at Pompeii and Herculaneum, is 0.275 m = 1 ft. The Roman foot in use at these sites is 0.297 m = 1 ft. See Mau (1982, p. 280).

  4. 4.

    Lawlor gives a geometric demonstration of this principle in (1982, pp. 38–43).

References

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Correspondence to Carol Martin Watts .

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Watts, C.M. (2015). The Square and the Roman House: Architecture and Decoration at Pompeii and Herculaneum. In: Williams, K., Ostwald, M. (eds) Architecture and Mathematics from Antiquity to the Future. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00137-1_14

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