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

Watts, Carol

doi:10.1007/978-3-319-00137-1_14

Cited by 4 publications

(3 citation statements)

References 2 publications

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“…The side lengths of successive squares increase in root-two ratio; the area of the larger square doubles. The ad quadratum construction has been observed in the plans and decoration of Roman buildings, including the tile patterns that adorn the Pantheon's pavements (Watts 1996;Williams 1997: 34-39).…”

Section: Circle Square and Ad Quadratummentioning

confidence: 99%

Geometric Proportions in Measured Plans of the Pantheon of Rome

Fletcher

2019

Nexus Netw J

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The Pantheon in Rome has been depicted in countless paintings and measured drawings. This paper considers how the building and its subsequent representations express meaning through elementary geometric symbols, patterns, and proportions. The author observes notable discrepancies between a sampling of measured plans from Sebastiano Serlio's woodcut engravings in the Renaissance to current laser campaigns. She analyzes the different drawings for underlying geometric patterns. A pattern of rotated squares, in root-two proportion, appears consistently in the horizontal plan of each measured set and complements Mark Wilson Jones's proposed scheme of a conjoined sphere and cube. This comparative method of analysis offers students and scholars of descriptive geometry a useful tool for interpretation.

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Section: Circle Square and Ad Quadratummentioning

confidence: 99%

Geometric Proportions in Measured Plans of the Pantheon of Rome

Fletcher

2019

Nexus Netw J

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“…This method is described in Fragmentum de hexagono et octogono, a gromatic text ascribed to Marcus Terentius Varro (116-27 BC) (Bubnov 1899: 552). It contains the drawing of an octagon; which square construction was widely used in Roman flooring (Watts 2015). It was also considered by Heron of in his work Metrica, LI.XVIII (Schoene 1903: 57-59).…”

Section: The Construction Of Octagonsmentioning

confidence: 99%

Transfer of Mathematical Knowledge for Building Medieval Cathedrals

2017

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The construction of Gothic cathedrals is among the great achievements of medieval science, as defined in terms of theorica and practica. The success of these constructions is due to the knowledge of promoters and builders. This study introduces the original sources of the codex of the cathedral of Tortosa (Catalonia, Spain) with authors such as Calcidius, Capella, Macrobius, Al-Ḣ ajjāj ibn Yūsuf ibn Mat˙ar or Gerbert. The combined assessment of these sources, together with the masonry built and Guarc's original plan (c.1345-c.1380) shed some light on the mathematical knowledge of the cathedrals' builders. Keywords Mathematics in middle ages • Gothic cathedrals • Medieval geometry • Heptagon • Octagon • Tortosa cathedral Abbreviations ACTo Arxiu capitular tortosa (Chapter Archives of Tortosa) AHCTE Arxiu històric comarcal terres ebre FBMPM Fundación bertomeu march palma mallorca

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“…Through the study of the Roman use of geometrical ordering systems at many scales of their built environment, I have observed their persistent use of regulating squares (Watts 1996;Watts 1992, 1986). The four squares of the centuriation grid can be seen as a single 40 actus square template (or regulating square) within which the specific design of the city will unfold.…”

Section: A Hypothesis For the Process Of Laying Out The City And Counmentioning

confidence: 99%

Architecture and Mathematics from Antiquity to the Future

Williams¹,

Ostwald²

2015

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

Cited by 4 publications

References 2 publications

Geometric Proportions in Measured Plans of the Pantheon of Rome

Geometric Proportions in Measured Plans of the Pantheon of Rome

Transfer of Mathematical Knowledge for Building Medieval Cathedrals

Architecture and Mathematics from Antiquity to the Future

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