2 papers
math.DG2026
Invariants of an Affine Reflection Transform
Peter Giblin, Stanisław Janeczko, Michał Zwierzyński
We introduce the affine reflection transform (ART) of an oval relative to an interior point by applying the parallel-tangent involution to chords through and taking the…
math.DG2025
Envelopes of lines, unfoldings and breaking symmetry
Peter Giblin, Alexander Wettig
We generalise the well-known ``embroidery'' envelopes of chords joining points at angles and of a single circle in several ways. Firstly we allow to be rational (possi…