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Steinhardt, P.J., Jeong, H.-C., Saitoh, K., Tanaka, E., Abe, E. and Tsai, A.P. (1998) Experimental verification of the quasi-unit cell model of quasicrystal structure. Nature, 396, 55-57. doi:10.1038/23902

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• TITLE: Evidence for pentagonal symmetry in living and model cellular systems

  AUTHORS: John J. Wille

  KEYWORDS: Cells; Colonies; in Vitro Tissue Culture; Mammalian Tissues; Model Tissues; Pentagonal Symmetry; Rotational Symmetry Analysis

  JOURNAL NAME: Natural Science, Vol.3 No.10, October 21, 2011

  ABSTRACT: Microscope observations of normal human ke- ratinocytes (NHK) propagated in a serum-free medium reveal a high frequency (>70%) of pentagonally-shaped colonies over a wide range of colony sizes that persist over many sequential cell generations. NHK colonies derived from sin- gle cell isolates also display pentagonal symme- try as confirmed by a photographic technique known as “Markham Rotation”. The generality of pentagonal cellular morphology was extended to observations in situ of pentagonally-shaped basal layer epidermal cells of normal human epidermis, monolayer cultures of normal and immortalized keratinocytes, several different ch- ick embryo cells, and in previously published photographs. Statistical methods were applied that differentiate planar close-packing of polygonal configurations observed in living cellular system from several examples of non-living cellular aggregates that were produced spontaneously in nature or in the laboratory under defined physico-chemical conditions.