33 citations · 172 across the 25 of their papers we have counts for
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math.GR2014★ 3 cited
Even More Infinite Ball Packings from Lorentzian Root Systems
Hao Chen
Boyd (1974) proposed a class of infinite ball packings that are generated by inversions. Later, Maxwell (1983) interpreted Boyd's construction in terms of root systems in Lorentz s…
math.GR2014★ 8 cited
Limit Directions for Lorentzian Coxeter Systems
Hao Chen, Jean-Philippe Labbé
Every Coxeter group admits a geometric representation as a group generated by reflections in a real vector space. In the projective representation space, limit directions are limit…
math.GR2013★ 14 cited
Lorentzian Coxeter systems and Boyd-Maxwell ball packings
Hao Chen, Jean-Philippe Labbé
In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In this paper, we show that the observed frac…