Journal of Singularities
volume 12 (2015), 80-91
Received 21 April 2014. Received in revised form 21 August 2014.
For any given C^\infty immersion r: S^1->R^2 such that the no-silhouette of r is not empty, a simple geometric model of crystal growth is constructed. It is shown that our geometric model of crystal growth never formulates a polygon while it is growing. Moreover, it is shown also that our model always dissolves to a point.
aperture, aperture angle, aperture point, Wulff shape
Mathematical Subject Classification:
58K30, 68T45, 82D25
|Daisuke Kagatsume||Takashi Nishimura|
|Machida Hall||Research Group of Mathematical Sciences|
|Machida City||Research Institute of Environment and|
|Tokyo 194-8520, Japan||Information Sciences|
|Yokohama National University|
|Yokohama 240-8501, Japan|
|email: email@example.com||email: firstname.lastname@example.org|