Sierpinski's forest: New technology of cool roof with fractal shapes

  • Sakai S
  • Nakamura M
  • Furuya K
 et al. 
  • 33


    Mendeley users who have this article in their library.
  • 2


    Citations of this article.


This paper presents a new technology for constructing cool roofs composed of fractal shapes. The roofs consist of many Sierpinski tetrahedron units and block 100% sunlight from a particular direction. The sunlight from other directions partly penetrates the roof, creating a leafy shaded area under the roof. Compared with ordinary flat roofs, these roofs greatly reduce surface temperature and consequently provide a cool environment without strong heat radiation. The fractal structure of the tetrahedron units is similar to that of natural trees. Three-dimensional measurements revealed that natural trees have a fractal dimension of approximately 2, which is similar to that of the Sierpinski tetrahedrons. In this study, fractal roofs made from different materials were tested at two sites. The results showed that they were very effective in reducing surface temperatures in sunlight. © 2012 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Cool roof
  • Fractal sunshade
  • Passive cooling
  • Thermal environment
  • Urban heat island

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Get full text


  • S. Sakai

  • M. Nakamura

  • K. Furuya

  • N. Amemura

  • M. Onishi

  • I. Iizawa

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free