22 citations · 59 across the 32 of their papers we have counts for
4 papers · 1 filter
Uniqueness of radial centers of parallel bodies
Jun O'Hara
We show the uniqueness of the radial centers of any order of a parallel body of a convex body in at distance if is greater than the diameter of mu…
The configuration space of equilateral and equiangular hexagons
Jun O'Hara
We study the configuration space of equilateral and equiangular spatial hexagons for any bond angle by giving explicit expressions of all the possible shapes. We show that the chai…
Ideal, best packing, and energy minimizing double helices
Jun O'Hara
We study optimal double helices with straight axes (or the fattest tubes around them) computationally using three kinds of functionals; ideal ones using ropelength, best volume pac…
Space of subspheres and conformal invariants of curves
R. Langevin, J. O'Hara, S. Sakata
A space curve is determined by conformal arc-length, conformal curvature, and conformal torsion, up to Möbius transformations. We use the spaces of osculating circles and spheres t…