Serge Tabachnikov
- Topological robotics: motion planning in projective spaces
2002/10/02 by Michael Farber, Serge Tabachnikov, Farber, Michael +3 · 4 citations
Computer Science · Mathematics · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Robotics (cs.RO) #cs.RO #math.AT #math.DG
- On bicycle tire tracks geometry, hatchet planimeter, Menzin's conjecture and oscillation of unicycle tracks
2008/01/28 by Mark Levi, Serge Tabachnikov, Levi, M. +1 · 2 citations
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications
- Billiards in Finsler and Minkowski geometries
2002/01/01 by Eugene Gutkin, Serge Tabachnikov · 1 citation
- Tire track geometry: variations on a theme
2004/05/24 by Serge Tabachnikov, Tabachnikov, Serge · 1 citation
Engineering · Mathematics · #Soil Mechanics and Vehicle Dynamics #Vehicle Dynamics and Control Systems #Vehicle emissions and performance #math.DG
- Polygonal symplectic billiards
2019/12/19 by Peter Albers, Albers, Peter, Gautam Banhatti +7 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #37J10 #49M25 #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG)
- On projective evolutes of polygons
2022/02/20 by Maxim Arnold, Richard Evan Schwartz, Arnold, Maxim +3 · 1 citation
Computer Science · Engineering · Materials Science · #Advanced Materials and Mechanics #Algebraic Geometry (math.AG) #Digital Image Processing Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #Quasicrystal Structures and Properties
- When Grünbaum meets Poncelet -- Infinite Classes of Movable n4 Configurations
2024/08/17 by Leah Wrenn Berman, Berman, Leah Wrenn, Gábor Gévay +5 · 1 citation
Mathematics · #Advanced Topology and Set Theory #Mathematical and Theoretical Analysis #Homotopy and Cohomology in Algebraic Topology