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  1. A proof of Jordan curve theorem based on the sweepline algorithm for trapezoidal decomposition of a polygon

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  2. The Nesting Bird Box Problem is ER-complete: Sharp Hardness Results for the Hidden Set Problem

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  3. A stellated tetrahedron that is probably not Rupert

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  4. Calibrated Persistent Homology Tests for High-dimensional Collapse Detection

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  5. Conic locus of inversive Poncelet circumcenter and two points of invariant circle power

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  6. Point Group Symmetry of Polyhedral Diagrams in Graphic Statics

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  7. A dynamic $(1+varepsilon)$-spanner for disk intersection graphs

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  8. Second gonality of smooth aCM curves on quartic surfaces in $mathbb{P}^3$

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  9. Near-tight Bounds for Computing the Fréchet Distance in d-Dimensional Grid Graphs and the Implications for λ-low Dense Curves

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  10. Bowties and Hourglasses: Intersections of Double-Wedges (or Stabbing and Avoiding Line Segments)

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  11. Single-Source Shortest Paths and Almost Exact Diameter in Pseudodisk Graphs

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  12. The Prophet and the Voronoi Diagram

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  13. Counting All Lattice Rectangles in the Square Grid in Near-Linear Time

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  14. Optimization of Constrained Quasiconformal Mapping for Origami Design

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  15. A continuum of Künneth theorems for persistence modules

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  16. Monotile kirigami

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  17. Maximum Solow--Polasky Diversity Subset Selection Is NP-hard Even in the Euclidean Plane

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  18. Local Depth-Based Corrections to Maxmin Landmark Selection for Lazy Witness Persistence

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  19. The Magnitude of Dominated Sets: A Pareto Compliant Indicator Grounded in Metric Geometry

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  20. Peeling Rotten Potatoes for a Faster Approximation of Convex Cover

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