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Stereotomy of Wave Jointed Blocks

Toward a Wave-Jointed Stone Construction Using Wire Cutter Toolpath Generation


This paper focuses on developing a system for using 6-axis robotic arms to cut interlocking blocks with wire. Tracing the trajectory of stereotomy through millennia of practice, an extrapolation is presented that stereotomy will serve increased formal and structural complexity. The addition of robotic carving to stereotomy also removes the ethical-aesthetic connection between the carver’s effort and the visual attention given to the object. This leads to the design of a wave jointed block capable of an extended structural ability, concealing the majority of the cutting effort inside the joined blocks. The proposed fabrication system uses a wire cutter end effector following a toolpath generated from quad based mesh topologies. This single tool cutting system maximises the efficiency of the cutting process and returns the once technical aspects of robotic construction back to the designer.


  • Stereotomy
  • Toolpath automation
  • Digital fabrication
  • Vaults
  • Wave joint

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  • DOI: 10.1007/978-3-319-26378-6_22
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  • Block, P, 2009, Thrust Network Analysis: Exploring Three Dimensional Equilibium. Accessed 2015.

  • Dyskin, AV, Estrin, Y, Pasternak, E, Khor, HC and Kanel-Belov, AJ 2005, ‘The Principle of Topological Interlocking in Extraterrestrial Construction’, Acta Astronautica, vol. 57, no. 1, pp. 10–21.

    CrossRef  Google Scholar 

  • Estrin Y 2014, ‘Topological Interlocking and Osteomorphic Blocks’, in G. Fallacara and V. Minenna (eds), Stereotomic Design—Catalogo della mostra omonima per Inside Marmomacc and Abitare il Tempo Veronafiere, Verona 2014, Edizioni Gioffreda, Maglie.

    Google Scholar 

  • Fallacara, G, 2012, Stereotomy: Stone Architecture and New Research. France: Presses des Ponts. Accessed 2015.

  • Herodotus, The History of Herodotus, 440BC, 2.175.5; 3.60.3,4; 4.87.1, 4.88.1; 7.36.1. Available from: Accessed 21 June 2015.

  • Khor, HC, Dyskin, AV, Estrin, Y and Pasternak, E 2004, ‘Mechanisms Of Fracturing In Structures Built From Topologically Interlocked Blocks’, in Atrens, A, Boland, JN, Clegg, R and Griffiths, JR (eds), Structural Integrity and Fracture International Conference (SIF'04).

    Google Scholar 

  • Robson, D 1976, Verbundstein, German Patent DE2554516 (A1), British Patent GB1533980. Brisbane, Australia, 26-29 September 2004, pp. 189–194.

    Google Scholar 

  • Wallace, WE 1994, Michelangelo at San Lorenzo: The Genius as Entrepreneur, Cambridge University Press, Cambridge.

    Google Scholar 

  • Yong, HTD 2012, ‘Utilisation of Topologically-Interlocking Osteomorphic Blocks for Multi-Purpose Civil Construction’, PhD, University of Western Australia, Perth.

    Google Scholar 

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This research has been supported by The Faculty of Architecture, Design and Planning, The University of Sydney, and was produced at DMaF.

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Correspondence to Simon Weir .

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© 2016 Springer International Publishing Switzerland

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Weir, S., Moult, D., Fernando, S. (2016). Stereotomy of Wave Jointed Blocks. In: Reinhardt, D., Saunders, R., Burry, J. (eds) Robotic Fabrication in Architecture, Art and Design 2016. Springer, Cham.

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