Williams, C. J. K., 2011. Patterns on a surface: the reconciliation of the circle and the square. Nexus Network Journal, 13 (2), pp. 281-295.
The theory of heat flow on a surface shows that any curvilinear quadrilateral can be ‘tiled’ with curvilinear squares of varying size. This paper demonstrates a simple numerical technique for doing this that can also be applied to shapes other than quadrilaterals. In particular, any curvilinear triangle can be tiled with curvilinear equilateral triangles.
|Item Type ||Articles|
|Creators||Williams, C. J. K.|
|Uncontrolled Keywords||isothermal coordinates, tension coefficient, dynamic relaxation, tiling, differential geometry, harmonic coordinates|
|Departments||Faculty of Engineering & Design > Architecture & Civil Engineering|
|Research Centres||Centre for Advanced Studies in Architecture (CASA)|
|Publisher Statement||Williams_Nexus-Network-Journal_2011_13_2_281.pdf: The original publication is available at www.springerlink.com|
Actions (login required)