3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.GT2020
Lissajous 3-braids
Eiko Kin, Hiroaki Nakamura, Hiroyuki Ogawa
We classify 3-braids arising from collision-free choreographic motions of 3 bodies on Lissajous plane curves, and present a parametrization in terms of levels and (Christoffel) slo…
math.MG2019★ 1 cited
On generalized median triangles and tracing orbits
Hiroaki Nakamura, Hiroyuki Ogawa
We study generalization of median triangles on the plane with two complex parameters. By specialization of the parameters, we produce periodical motion of a triangle whose vertices…
math.MG2018★ 3 cited
A family of geometric operators on triangles with two complex variables
Hiroaki Nakamura, Hiroyuki Ogawa
Given a plane triangle , one can construct a new triangle whose vertices are intersections of two cevian triples of . We extend the family of operators by c…