Hexagonal Prism: A Geometric Primitive for Architecture Design

  IJCTT-book-cover
 
International Journal of Computer Trends and Technology (IJCTT)          
 
© 2016 by IJCTT Journal
Volume-38 Number-1
Year of Publication : 2016
Authors : Jorge Madera-Valdez, Francisco A. Madera
DOI :  10.14445/22312803/IJCTT-V38P106

MLA

Jorge Madera-Valdez, Francisco A. Madera "Hexagonal Prism: A Geometric Primitive for Architecture Design". International Journal of Computer Trends and Technology (IJCTT) V38(1):24-28, August 2016. ISSN:2231-2803. www.ijcttjournal.org. Published by Seventh Sense Research Group.

Abstract -
We study the geometric features of the hexagonal prism and show some designs to be used in architectural geometry. Motivated by the architecture model built in [1], we propose several geometrical designs using the hexagonal prism as the basic primitive. We focus on the geometrical patterns of the hexagonal prism,we pursuit to identify those patterns that space dictates and describe how these patterns are manifested in mathematics and in computer graphics.

References
[1] Universidad Marista, Mérida, México. http://www.marista.edu.mx/
[2] Famous Hexagonal Buildings. http://infomory.com/famous/famous-hexagonal-buildings/
[3] C. Tang, X. Sun, A. Gomes, W. Johannes, H. Pottmann.Form-finding with polyhedral meshes made simple, ACM Trans. On Graphics. Vol. 33, No. 4, pp. 701- 709, 2014.
[4] P. Block, J. Ochsendorf, Trust network analysis: A new methodology for three dimensional equilibrium, Journal International Assoc. Shel and Spatial Structures. Vol. 48, No. 3, pp. 167-173, 2007.
[5] P. Block. Trust network analysis: Exploring Three dimensional equilibrium. PhD Thesis MIT, 2007.
[6] F. Fraternali.A Trust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions, Mechanics Re. Comm. vol. 37, no. 2, pp. 198-204, 2010.
[7] H. Pottmann, Y. Liu, J. Wallner, A. Bobenko, W. Wang. Geometry of multilayer freeform structures for architecture, ACM Trans. On Graphics. Vol. 26, No. 3, 2007.
[8] C. Jiang, C. Tang, A. Vaxman, P. Wonka, H. Pottmann. Polyhedral patterns.ACM Trans. On Graphics. Vol. 34, No. 6, 2015.
[9] M. Eigensatz, M. Kilian, A. Schiftner, N. J. Mitra, H. Pottmann, M. Pauly. Paneling architectural freeform surfaces.ACM Trans. On Graphics. Vol. 29, No. 4, 2010.
[10] C. Jiang, C. Tang, J. Wang, J. Wang, H. Pottmann. Freeform honeycomb structures and lobel frames.In SIGGRAPH ACM Poster,2015.
[11] H. Pottmann, C. Jiang, M. Höbinger, J. Wang, P. Bompas, J. Wallner. Cell packing structures. Elsevier Computer Aided Design. Vol. 60, pp. 70-83, 2015.
[12] C. Jiang, C. Tang, M. Tomi?i, J. Wallner, H. Pottmann. Interactive modeling of architectural freeform structures: Combining Geometry with Fabrication and Statics. Advances in Architectural Geometry, 2014.
[13] P. Schneider, D. H. Eberly. Geometric Tools for Computer Graphics. Morgan Kaufmann, first edition, 2002.
[14] Hexagonal Prism: Properties, Formula & Examples. http://study.com/academy/lesson/hexagonal-prismproperties- formula-examples.html#lesson.
[15] J. Díaz-Bolio. The Geometry of the Maya and the Rattlesnake Art. Area Maya, 1987.

Keywords
Hexagonal Prism, Architecture Design, Computational Geometry.