Matching Points with Circles and Squares -- The Minimum Manhattan Network Problem: A Fast Factor-3 Approximation -- Algorithms for the d-Dimensional Rigidity Matroid of Sparse Graphs -- Sliding Disks in the Plane -- Weighted Ham-Sandwich Cuts -- Towards Faster Linear-Sized Nets for Axis-Aligned Boxes in the Plane -- Farthest-Point Queries with Geometric and Combinatorial Constraints -- Grid Vertex-Unfolding Orthostacks -- A Fixed Parameter Algorithm for the Minimum Number Convex Partition Problem -- Tight Time Bounds for the Minimum Local Convex Partition Problem -- I/O-Efficiently Pruning Dense Spanners -- On the Minimum Size of a Point Set Containing Two Non-intersecting Empty Convex Polygons -- Three Equivalent Partial Orders on Graphs with Real Edge-Weights Drawn on a Convex Polygon -- Wedges in Euclidean Arrangements -- Visual Pascal Configuration and Quartic Surface -- Nonexistence of 2-Reptile Simplices -- Single-Vertex Origami and Spherical Expansive Motions -- An Optimal Algorithm for the 1-Searchability of Polygonal Rooms -- Crossing Stars in Topological Graphs -- The Geometry of Musical Rhythm.