Research

Patterns on a surface: the reconciliation of the circle and the square


Reference:

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.

Related documents:

[img]
Preview
PDF (Williams_Nexus-Network-Journal_2011_13_2_281.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (7MB) | Preview

    Official URL:

    http://dx.doi.org/10.1007/s00004-011-0068-2

    Abstract

    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.

    Details

    Item Type Articles
    CreatorsWilliams, C. J. K.
    DOI10.1007/s00004-011-0068-2
    Uncontrolled Keywordsisothermal coordinates, tension coefficient, dynamic relaxation, tiling, differential geometry, harmonic coordinates
    DepartmentsFaculty of Engineering & Design > Architecture & Civil Engineering
    Research CentresCentre for Advanced Studies in Architecture (CASA)
    Publisher StatementWilliams_Nexus-Network-Journal_2011_13_2_281.pdf: The original publication is available at www.springerlink.com
    RefereedYes
    StatusPublished
    ID Code24505

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...