Abstract
Inca masons mastered a unique procedure of stone construction resulting in complex and precise configurations of visually zero-tolerance alignment. Each stone is nibbled away by a gradual transition of hammerstones from course to fine as the carving approaches a precise alignment on each edge at the visible face. Beyond this shared front edge, a gap opens to allow mortar to be packed in from behind for structural and setting purposes. These formations are limited to vertical walls as a result of the use of plumb technology. With so much current attention being focused on free-form geometries and procedural methods for masonry vaulting (Andriaenssens et al. 2014), this paper proposes a translation of the Inca wedge method into a digital process whereby stones align with each other to produce a global figure without the use of templating, falsework, or formwork. This differs from most conventional masonry processes whereby mortar is applied to units before positioning, allowing alignment to templates through the malleability of the mortar. Instead, units are dry fit to each other and then set in place. This inversion of the alignment procedure relies on precision carving of voussoirs to align with each other at specific moments in order to ensure proper self-assembly while simultaneously accepting mortar for setting. The resulting prototype shell structure is composed of uniquely carved voussoirs of autoclave-aerated concrete set with plaster in a similar manner to the Catalan and Guastavino methods. Previous research (Ramage 2006) has demonstrated the advantage of this lightweight material for vaulting purposes. The combination of this material property with the Inca assembly method results in an expedient assembly of complex shell structures. The potentials of this proof-of-concept suggests through results that future research can advance the intelligence of error aggregation through the aid of measuring, correcting, and carving throughout the assembly process just as the Incas constructed.
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References
Andriaenssens S, Block P, Veenendaal D, Williams C (eds) (2014) Shell structures for architecture: form finding and optimization. Routledge, London
Clifford B (2013) Thicker funicular: particle-spring systems for variable-depth form-responding compression-only structures. Struct Archit Concepts Appl Challenges 2:205–206
Clifford B (ed) (2014) Volumetric robotics: MIT architectural design workshop. Matter Design Press, Boston
Clifford B, McGee W (2014) La Voûte de LeFevre: a variable-volume compression-only vault. Fabricate: negotiating design & making, vol 2, pp 146–153
Dean C (2010) A culture of stone: inka perspectives on rock. Duke University Press, Durham
Fallacara G (2012) Stereotomy: stone architecture and new research. Presses des Ponts, Paris
Feringa J, Sondergaard A (2014) Fabricating architectural volume: stereotomic investigations in robotic craft. Fabricate: negotiating design & making. vol 2, pp 76–83
Gasparini G, Margolies L (1980) Inca architecture. Indiana University Press, Indiana
Harth-terré E (1964) Técnica y Arte de la CanterÃa Incaica. Garcilaso
McGee W, Ferringa J, Sondergaard A (2012) Processes for an architecture of volume: robotic wire cutting. Rob|Arch robotic fabrication in architecture, art, and design, pp 62–71
McGee W, Pigram D (2011) Formation embedded design: a methodology for the integration of fabrication constraints into architectural design. ACADIA 2011, pp 122–131
Ochsendorf J (2010) Guastavino vaulting: the art of structural tile. Princeton Architectural Press, Princeton
Outwater J (1959) Building the fortress of Olantaytambo. Archaeology. pp 12–28
Piker D (2014) Dynamic remeshing. www.grasshopper3d.com/profiles/blogs/dynamic-remeshing-now-with-feature-preservation-curvature. Accessed 19 May 2015
Protzen JP (1993) Inca architecture and construction at ollantaytambo. Oxford University Press, Oxford
Protzen JP (1985) Inca quarrying and stonecutting. J Soc Architectural Historians XLIV(2):161–182
Protzen JP, Nair S (1997) Who taught the inca stonemasons their skills?: a comparison of tiahuanaco and inca cut-stone masonry. J Soc Architectrual Historians LVI(2):146–167
Ramage M (2006) Structural vaulting built with aercrete masonry. Masonry Int 20:29–35
Rippmann M, Block P (2011) Digital stereotomy: voussoir geometry for freeform masonry-like vaults informed by structural and fabrication constraints. In: Proceedings of the IABSE-IASS symposium, London, UK
Acknowledgments
The ‘Round Room’ is the result of a partnership between the authors (www.matterdesignstudio.com) and Quarra Stone (www.quarrastone.com) as fabricators with structural engineering by Simpson Gumpertz and Heger (www.sgh.com). Prototypes were produced at the University of Michigan FABLab and the installation was installed at the MIT Keller Gallery. This project is funded in part by the Council for the Arts at MIT and the Belluschi Lectureship. The thick-funicular calculation employs Kangaroo (www.grasshopper3d.com/group/kangaroo) as the physics engine solver for the particle-spring system developed by Daniel Piker to work inside Grasshopper (www.grasshopper3d.com), a plugin developed by David Rutten for Rhinoceros (www.rhino3d.com), a program developed by Robert McNeil.
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Clifford, B., McGee, W. (2015). Digital Inca: An Assembly Method for Free-Form Geometries. In: Thomsen, M., Tamke, M., Gengnagel, C., Faircloth, B., Scheurer, F. (eds) Modelling Behaviour. Springer, Cham. https://doi.org/10.1007/978-3-319-24208-8_15
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DOI: https://doi.org/10.1007/978-3-319-24208-8_15
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