The four hexiamondas - the "sphinx" - can be joined together to form another sphinx.
Mosaic "sphinx" - tiling of the plane by means of "sphinxes" - pentagonal hexiamond formed by a combination of six regular triangles . The resulting figure is named for its similarity to the Great Sphinx in Giza .
The sphinx can be into an arbitrary square number of copies of itself [1] (some of which may be mirrored ), and repetition of this process leads to plane. Thus, the sphinx is a [2] [3] . This mosaic is one of the few known and the only known pentagonal mosaic whose subcopies are the same size [4] .
 Cutting the sphinx into four subcopies |  Cutting the sphinx into nine subcopies |
Notes
- ↑ Niţică, 2003 , p. 205-217.
- ↑ The English language uses the name rep-tile (from self- rep licating tile ) and is a pun - reptile translates as reptile, amphibian
- ↑ Godrèche, 1989 , p. L1163 – L1166.
- ↑ Martin, 2003 , p. 371–378.
Literature
- C. Godrèche. The sphinx: a limit-periodic tiling of the plane // Journal of Physics A: Mathematical and General. - 1989. - T. 22 , no. 24 . - DOI : 10.1088 / 0305-4470 / 22/24/006 .
- Andy Martin The Changing Shape of Geometry / Chris Pritchard. - Cambridge University Press, 2003. - (MAA Spectrum). - ISBN 9780521531627 .
- Viorel Niţică. MASS selecta. - Providence, RI: American Mathematical Society, 2003.