Mathematical Analysis on Helicoids Architectural Form

Abstract:

In a sense, architecture may be called as a geometric figure. Although architectural forms are very different, the form from one kind of architecture to another kind of architecture is equivalent to one kind of mathematical transformation in view of mathematics; for example, the transformation between a cube architecture and a spherical architecture belongs to a topological transformation. Currently, many sculptural features appear in the architecture design, which may be called as the nonlinear architecture. Curves and curved surfaces are widely used in the architecture modeling. Moreover, functional spaces are divided inside the architecture shell according to requirements. Architects are inclined to use a mathematical theory especially the geometrical knowledge in an architecture design. However, architects can not imagine many artistic geometric figures in geometry. Besides, such wonderful geometric figures always include some miraculous mathematical and physical properties.

• Periodical: Advanced Materials Research (Volume 790)
• Pages: 273-277
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.790.273
• Online since: September 2013
• Authors: Zhong Yi, Cheng Zhi Yuan
• Keywords: Architecture, Helicoids, Mathematical Transformation

References

[1] Li Leshan, Design Geometry, China Water Conservancy and Hydropower Press, (2003).

[2] Xu Renping, Design Mathematics, Chemical Industry Press, (2006).

[3] Milnor J., Morse Theory, Princeton University Press，Princeton N. j., (1963).