You cannot walk straight when the road bends.
Convection Flow
Convection patterns. Courtesy of Mike Schatz.
Granular Media
Photograph of photo elastic particles placed between two cross polarizers. Courtesy of Bob Behringer.
Pattern Formation via Braids
J. B. van den Berg, M. Kramar and R. C. Vandervorst, The order of bifurcation points in fourth order conservative systems via braids , SIAM Journal on Applied Dynamical Systems, Volume 10, (2011).
Protein Analysis
Downloaded form the Protein Data Bank
Rigorous Computations of Persistence
J. Jaquette and M. Kramar, Rigorous Computation of Persistent Homology, arXiv:1412.1805, (2015).
Silo Collapse under Gravity-driven Granular Discharges
Collapse under granular discharge. Courtesy of Claudia Colonnello.
Spreading processes on networks
D. Taylor, F. Klimm, H.A. Harrington, M. Kramar, K Mischaikow, M.A. Porter and P.J. Mucha, Topological data analysis of contagion maps for examining spreading processes on networks, Nature Communications 6, 7723 , (2015).