DogBoneForm
DogBoneForm is a geometric primitive used in computer-aided design and geometric modeling to describe an elongated, dog-bone shaped region. The figure consists of two congruent circular lobes connected by a narrower central neck, yielding a profile that is symmetric about its longitudinal axis. The form can be specified by three parameters: the lobe radius R, the neck width w, and the neck length n that separates the lobes. In a typical realization, each lobe is a circle of radius R, and the neck is a rectangular strip of width w and length n, producing a continuous boundary where straight sides meet the circular arcs.
Properties of DogBoneForm include planarity, bilateral symmetry, and a combination of curved and straight boundary segments.
Variants of the form include a smoother version with filleted transitions at the junctions (rounded neck), a
Applications span engineering design, where the form can model bone-like cross-sections or serve as a stylized