Export citation

Export citation

Choose format for download:

Download Citation
  • Perspective
  • Access by Xinjiang University

Three-dimensional microprinting anisotropic and deformable active matter

Mengshi Wei and Daniela J. Kraft*

  • Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands

  • *Contact author: kraft@physics.leidenuniv.nl

Phys. Rev. E 114, 041001 – Published 2 October, 2026

DOI: https://doi.org/10.1103/vvnp-l1sb

Abstract

Active colloidal particles are a versatile model system for exploring nonequilibrium physics in motile matter. To date, most experimental realizations have focused on spherical particles, largely due to fabrication constraints. However, theoretical and computational studies have long predicted that particle anisotropy and flexibility can dramatically enrich single-particle dynamics, interparticle interactions, and emergent collective behavior. Here, we highlight recent advances in the fabrication of anisotropic active particles and architectures enabled by the unprecedented design freedom of three-dimensional microprinting. We discuss how additive manufacturing is expanding the accessible parameter space of active soft matter, allowing precise control over shape, location of active forces, and functionality at the microscale. These advances enable the development of new model platforms for uncovering fundamental principles of active and soft matter, and simultaneously pave the way toward microrobotic systems with programmable dynamics and emergent functionalities.

Physics Subject Headings (PhySH)

Collections

This article appears in the following collection:

The SPLASHY+F road ahead: new dashes in soft matter physics

Dive into the future of soft matter physics through Perspectives at the SPLASHY+F frontier, where the field flows in new directions.

Article Text

References (128)

  1. C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, and G. Volpe, Active particles in complex and crowded environments, Rev. Mod. Phys. 88, 045006 (2016).
  2. J. Elgeti, R. G. Winkler, and G. Gompper, Physics of microswimmers—single particle motion and collective behavior: a review, Rep. Prog. Phys. 78, 056601 (2015).
  3. B. Liebchen and A. K. Mukhopadhyay, Interactions in active colloids, J. Phys.: Condens. Matter 34, 083002 (2022).
  4. B. ten Hagen, F. Kümmel, R. Wittkowski, D. Takagi, H. Löwen, and C. Bechinger, Gravitaxis of asymmetric self-propelled colloidal particles, Nat. Commun. 5, 4829 (2014).
  5. J. Palacci, S. Sacanna, A. Abramian, J. Barral, K. Hanson, A. Y. Grosberg, D. J. Pine, and P. M. Chaikin, Artificial rheotaxis, Sci. Adv. 1, e1400214 (2015).
  6. D. Takagi, J. Palacci, A. B. Braunschweig, M. J. Shelley, and J. Zhang, Hydrodynamic capture of microswimmers into sphere-bound orbits, Soft Matter 10, 1784 (2014).
  7. S. Das, A. Garg, A. I. Campbell, J. Howse, A. Sen, D. Velegol, R. Golestanian, and S. J. Ebbens, Boundaries can steer active Janus spheres, Nat. Commun. 6, 8899 (2015).
  8. A. T. Brown, I. D. Vladescu, A. Dawson, T. Vissers, J. Schwarz-Linek, J. S. Lintuvuori, and W. C. K. Poon, Swimming in a crystal, Soft Matter 12, 131 (2016).
  9. S. Ketzetzi, M. Rinaldin, P. Dröge, J. D. Graaf, and D. J. Kraft, Activity-induced interactions and cooperation of artificial microswimmers in one-dimensional environments, Nat. Commun. 13, 1772 (2022).
  10. J. Palacci, S. Sacanna, A. P. Steinberg, D. J. Pine, and P. M. Chaikin, Living crystals of light-activated colloidal surfers, Science 339, 936 (2013).
  11. I. Buttinoni, J. Bialké, F. Kümmel, H. Löwen, C. Bechinger, and T. Speck, Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles, Phys. Rev. Lett. 110, 238301 (2013).
  12. I. Theurkauff, C. Cottin-Bizonne, J. Palacci, C. Ybert, and L. Bocquet, Dynamic clustering in active colloidal suspensions with chemical signaling, Phys. Rev. Lett. 108, 268303 (2012).
  13. M. E. Cates and J. Tailleur, Motility-induced phase separation, Annu. Rev. Condens. Matter Phys. 6, 219 (2015).
  14. A. Bricard, J.-B. Caussin, D. Das, C. Savoie, V. Chikkadi, K. Shitara, O. Chepizhko, F. Peruani, D. Saintillan, and D. Bartolo, Emergent vortices in populations of colloidal rollers, Nat. Commun. 6, 7470 (2015).
  15. A. Bricard, J.-B. Caussin, N. Desreumaux, O. Dauchot, and D. Bartolo, Emergence of macroscopic directed motion in populations of motile colloids, Nature (London) 503, 95 (2013).
  16. P. Baconnier, O. Dauchot, V. Démery, G. Düring, S. Henkes, C. Huepe, and A. Shee, Self-aligning polar active matter, Rev. Mod. Phys. 97, 015007 (2025).
  17. K. D. Young, The selective value of bacterial shape, Microbiol. Mol. Biol. Rev. 70, 660 (2006).
  18. E. Lauga and T. R. Powers, The hydrodynamics of swimming microorganisms, Rep. Prog. Phys. 72, 096601 (2009).
  19. M. Sitti, Physical intelligence as a new paradigm, Extreme Mech. Lett. 46, 101340 (2021).
  20. H. Löwen and B. Liebchen, Towards intelligent active particles, in Artificial Intelligence and Intelligent Matter: Nanoscience, Soft Matter, Philosophy, edited by M. te Vrugt (Springer Nature Switzerland, Cham, 2026), pp. 257–271.
  21. S. C. Glotzer and M. J. Solomon, Anisotropy of building blocks and their assembly into complex structures, Nat. Mater. 6, 557 (2007).
  22. F. Kümmel, B. ten Hagen, R. Wittkowski, I. Buttinoni, R. Eichhorn, G. Volpe, H. Löwen, and C. Bechinger, Circular motion of asymmetric self-propelling particles, Phys. Rev. Lett. 110, 198302 (2013).
  23. R. Wittkowski and H. Löwen, Self-propelled Brownian spinning top: Dynamics of a biaxial swimmer at low Reynolds numbers, Phys. Rev. E 85, 021406 (2012).
  24. Y. Shelke, N. Srinivasan, S. P. Thampi, and E. Mani, Transition from linear to circular motion in active spherical-cap colloids, Langmuir 35, 4718 (2019).
  25. O. Shemi and M. J. Solomon, Self-propulsion and active motion of Janus ellipsoids, J. Phys. Chem. B 122, 10247 (2018).
  26. Z. Wang, Z. Wang, J. Li, S. T. H. Cheung, C. Tian, S.-H. Kim, G.-R. Yi, E. Ducrot, and Y. Wang, Active patchy colloids with shape-tunable dynamics, J. Am. Chem. Soc. 141, 14853 (2019).
  27. T. Ohta, Dynamics of deformable active particles, J. Phys. Soc. Jpn. 86, 072001 (2017).
  28. R. G. Winkler and G. Gompper, The physics of active polymers and filaments, J. Chem. Phys. 153, 040901 (2020).
  29. B. Liebchen, P. Monderkamp, B. ten Hagen, and H. Löwen, Viscotaxis: Microswimmer navigation in viscosity gradients, Phys. Rev. Lett. 120, 208002 (2018).
  30. H. H. Wensink and H. Löwen, Emergent states in dense systems of active rods: From swarming to turbulence, J. Phys.: Condens. Matter 24, 464130 (2012).
  31. H. H. Wensink, H. Löwen, M. Marechal, A. Härtel, R. Wittkowski, U. Zimmermann, A. Kaiser, and A. M. Menzel, Differently shaped hard body colloids in confinement: From passive to active particles, Eur. Phys. J.: Spec. Top. 222, 3023 (2013).
  32. L. F. Cugliandolo, P. Digregorio, G. Gonnella, and A. Suma, Phase coexistence in two-dimensional passive and active dumbbell systems, Phys. Rev. Lett. 119, 268002 (2017).
  33. R. van Damme, J. Rodenburg, R. van Roij, and M. Dijkstra, Interparticle torques suppress motility-induced phase separation for rodlike particles, J. Chem. Phys. 150, 164501 (2019).
  34. M. Bär, R. Großmann, S. Heidenreich, and F. Peruani, Self-propelled rods: Insights and perspectives for active matter, Annu. Rev. Condens. Matter Phys. 11, 441 (2020).
  35. T. C. Rebocho, M. Tasinkevych, and C. S. Dias, Effect of anisotropy on the formation of active particle films, Phys. Rev. E 106, 024609 (2022).
  36. S. E. Moran, I. R. Bruss, P. W. A. Schönhöfer, and S. C. Glotzer, Particle anisotropy tunes emergent behavior in active colloidal systems, Soft Matter 18, 1044 (2022).
  37. A. M. Menzel and T. Ohta, Soft deformable self-propelled particles, Europhys. Lett. 99, 58001 (2012).
  38. S. Henkes, Y. Fily, and M. C. Marchetti, Active jamming: Self-propelled soft particles at high density, Phys. Rev. E 84, 040301(R) (2011).
  39. M. L. Manning, Essay: Collections of deformable particles present exciting challenges for soft matter and biological physics, Phys. Rev. Lett. 130, 130002 (2023).
  40. Z. Wang, Y. Mu, D. Lyu, M. Wu, J. Li, Z. Wang, and Y. Wang, Engineering shapes of active colloids for tunable dynamics, Curr. Opin. Colloid Interface Sci. 61, 101608 (2022).
  41. F. Ma, S. Wang, D. T. Wu, and N. Wu, Electric-field–induced assembly and propulsion of chiral colloidal clusters, Proc. Natl. Acad. Sci. USA 112, 6307 (2015).
  42. A. M. Brooks, M. Tasinkevych, S. Sabrina, D. Velegol, A. Sen, and K. J. Bishop, Shape-directed rotation of homogeneous micromotors via catalytic self-electrophoresis, Nat. Commun. 10, 495 (2019).
  43. S. A. C. Cure and D. J. Kraft, Fabrication and characterization of bimetallic silica-based and 3D-printed active colloidal cubes, Langmuir 41, 11638 (2025).
  44. H. R. Vutukuri, Z. Preisler, T. H. Besseling, A. van Blaaderen, M. Dijkstra, and W. T. S. Huck, Dynamic self-organization of side-propelling colloidal rods: Experiments and simulations, Soft Matter 12, 9657 (2016).
  45. J. Katuri, R. Poehnl, A. Sokolov, W. Uspal, and A. Snezhko, Arrested-motility states in populations of shape-anisotropic active Janus particles, Sci. Adv. 8, eabo3604 (2022).
  46. T. Lefranc, A. Dinelli, C. Fernández-Rico, R. P. A. Dullens, J. Tailleur, and D. Bartolo, Quorum sensing and absorbing phase transitions in colloidal active matter, Phys. Rev. X 15, 031050 (2025).
  47. T. Ohta and S. Yamanaka, Traveling bands in self-propelled soft particles, Eur. Phys. J.: Spec. Top. 223, 1279 (2014).
  48. A. McMullen, M. Holmes-Cerfon, F. Sciortino, A. Y. Grosberg, and J. Brujic, Freely jointed polymers made of droplets, Phys. Rev. Lett. 121, 138002 (2018).
  49. R. W. Verweij, J. Melio, I. Chakraborty, and D. J. Kraft, Brownian motion of flexibly linked colloidal rings, Phys. Rev. E 107, 034602 (2023).
  50. R. W. Verweij, P. G. Moerman, N. E. G. Ligthart, L. P. P. Huijnen, J. Groenewold, W. K. Kegel, A. van Blaaderen, and D. J. Kraft, Flexibility-induced effects in the Brownian motion of colloidal trimers, Phys. Rev. Res. 2, 033136 (2020).
  51. R. W. Verweij, P. G. Moerman, L. P. P. Huijnen, N. E. G. Ligthart, I. Chakraborty, J. Groenewold, W. K. Kegel, A. van Blaaderen, and D. J. Kraft, Conformations and diffusion of flexibly linked colloidal chains, J. Phys.: Mater. 4, 035002 (2021).
  52. A. McMullen, M. M. Basagoiti, Z. Zeravcic, and J. Brujic, Self-assembly of emulsion droplets through programmable folding, Nature (London) 610 502 (2022).
  53. J. Melio, M. van Hecke, S. E. Henkes, and D. J. Kraft, Pivoting colloidal assemblies exhibit mechanical metamaterial behaviour, Nature (London) 651, 632 (2026).
  54. L. Alvarez, M. A. Fernandez-Rodriguez, A. Alegria, S. Arrese-Igor, K. Zhao, M. Kröger, and L. Isa, Reconfigurable artificial microswimmers with internal feedback, Nat. Commun. 12, 4762 (2021).
  55. A. Sciortino, H. A. Faizi, D. A. Fedosov, L. Frechette, P. M. Vlahovska, G. Gompper, and A. R. Bausch, Active membrane deformations of a minimal synthetic cell, Nat. Phys. 21, 799 (2025).
  56. H. R. Vutukuri, M. Hoore, C. Abaurrea-Velasco, L. van Buren, A. Dutto, T. Auth, D. A. Fedosov, G. Gompper, and J. Vermant, Active particles induce large shape deformations in giant lipid vesicles, Nature (London) 586, 52 (2020).
  57. P. W. A. Schönhöfer and S. C. Glotzer, Collective behavior of “flexicles”, Proc. Natl. Acad. Sci. USA 122, e2426850122 (2025).
  58. Q. Martinet, Y. I. Li, A. Aubret, E. Hannezo, and J. Palacci, Emergent dynamics of active elastic microbeams, Phys. Rev. X 15, 041017 (2025).
  59. M. Wei, M. Y. Ben Zion, and O. Dauchot, Reconfiguration, interrupted aging, and enhanced dynamics of a colloidal gel using photoswitchable active doping, Phys. Rev. Lett. 131, 018301 (2023).
  60. Y. C. Saraswat, F. Ibis, L. Rossi, L. Sasso, H. B. Eral, and P. Fanzio, Shape anisotropic colloidal particle fabrication using 2-photon polymerization, J. Colloid Interface Sci. 564, 43 (2020).
  61. M. Mayarani, J. Laurent, M. Lenz, O. du Roure, and J. Heuvingh, Lifetime and fluctuations of specific bonds between anisotropic colloids mediated through depletion interactions, Soft Matter 21, 7851 (2025).
  62. R. Di Leonardo, L. Angelani, D. Dell'Arciprete, G. Ruocco, V. Iebba, S. Schippa, M. P. Conte, F. Mecarini, F. De Angelis, and E. Di Fabrizio, Bacterial ratchet motors, Proc. Natl. Acad. Sci. USA 107, 9541 (2010).
  63. K. Liu, H. Ding, S. Li, Y. Niu, Y. Zeng, J. Zhang, X. Du, and Z. Gu, 3D printing colloidal crystal microstructures via sacrificial-scaffold-mediated two-photon lithography, Nat. Commun. 13, 4563 (2022).
  64. S. van Kesteren, X. Shen, M. Aldeghi, and L. Isa, Printing on particles: Combining two-photon nanolithography and capillary assembly to fabricate multimaterial microstructures, Adv. Mater. 35, 2207101 (2023).
  65. H. Reinken, D. Nishiguchi, S. Heidenreich, A. Sokolov, M. Bär, S. H. Klapp, and I. S. Aranson, Organizing bacterial vortex lattices by periodic obstacle arrays, Commun. Phys. 3, 76 (2020).
  66. E. van den Pol, A. V. Petukhov, D. M. E. Thies-Weesie, D. V. Byelov, and G. J. Vroege, Experimental realization of biaxial liquid crystal phases in colloidal dispersions of boardlike particles, Phys. Rev. Lett. 103, 258301 (2009).
  67. L. Rossi, S. Sacanna, W. T. M. Irvine, P. M. Chaikin, D. J. Pine, and A. P. Philipse, Cubic crystals from cubic colloids, Soft Matter 7, 4139 (2011).
  68. C. Fernández-Rico, M. Chiappini, T. Yanagishima, H. De Sousa, D. G. A. L. Aarts, M. Dijkstra, and R. P. A. Dullens, Shaping colloidal bananas to reveal biaxial, splay-bend nematic, and smectic phases, Science 369, 950 (2020).
  69. P. F. Damasceno, M. Engel, and S. C. Glotzer, Predictive self-assembly of polyhedra into complex structures, Science 337, 453 (2012).
  70. S. Sacanna, W. T. M. Irvine, P. M. Chaikin, and D. J. Pine, Lock and key colloids, Nature (London) 464, 575 (2010).
  71. D. J. Kraft, R. Ni, F. Smallenburg, M. Hermes, K. Yoon, D. A. Weitz, A. van Blaaderen, J. Groenewold, M. Dijkstra, and W. K. Kegel, Surface roughness directed self-assembly of patchy particles into colloidal micelles, Proc. Natl. Acad. Sci. USA 109, 10787 (2012).
  72. M. Liu, X. Zheng, V. Grebe, D. J. Pine, and M. Weck, Tunable assembly of hybrid colloids induced by regioselective depletion, Nat. Mater. 19, 1354 (2020).
  73. M. Wei and D. J. Kraft, Life-like behavior emerging in active and flexible microstructures, Proc. Natl. Acad. Sci. USA 123, e2531743123 (2026).
  74. H. Le Roy, M. M. Terzi, and M. Lenz, Collective deformation modes promote fibrous self-assembly in deformable particles, Phys. Rev. X 15, 011022 (2025).
  75. B. Li, M.-C. Zhong, C. C. Galindo, J. Dou, J. Qian, Z. Tang, D. Davidson, and A. Veillette, 3D-printed low-voltage-driven ciliary hydrogel microactuators, Nature (London) 652, E1 (2026).
  76. W. Zhou, S. Nadarajah, L. Li, A. G. Izard, H. Yan, A. K. Prachet, P. Patel, X. Xia, and C. Daraio, 3D polycatenated architected materials, Science 387, 269 (2025).
  77. K. Bertoldi, V. Vitelli, J. Christensen, and M. van Hecke, Flexible mechanical metamaterials, Nat. Rev. Mater. 2, 17066 (2017).
  78. M. Kadic, G. W. Milton, M. van Hecke, and M. Wegener, 3D metamaterials, Nat. Rev. Phys. 1, 198 (2019).
  79. M. Zhang, H. Shahsavan, Y. Guo, A. Pena-Francesch, Y. Zhang, and M. Sitti, Liquid-crystal-elastomer-actuated reconfigurable microscale kirigami metastructures, Adv. Mater. 33, 2008605 (2021).
  80. K. K. Dudek, M. Kadic, C. Coulais, and K. Bertoldi, Shape morphing metamaterials, Nat. Rev. Mater. 10, 783 (2025).
  81. M. Zhang, A. Pal, Z. Zheng, G. Gardi, E. Yildiz, and M. Sitti, Hydrogel muscles powering reconfigurable micro-metastructures with wide-spectrum programmability, Nat. Mater. 22, 1243 (2023).
  82. M. Dennison, M. Sheinman, C. Storm, and F. C. MacKintosh, Fluctuation-stabilized marginal networks and anomalous entropic elasticity, Phys. Rev. Lett. 111, 095503 (2013).
  83. M. Mannattil, J. M. Schwarz, and C. D. Santangelo, Thermal fluctuations of singular bar-joint mechanisms, Phys. Rev. Lett. 128, 208005 (2022).
  84. C. El Helou, B. Grossmann, C. E. Tabor, P. R. Buskohl, and R. L. Harne, Mechanical integrated circuit materials, Nature (London) 608, 699 (2022).
  85. R. P. Doherty, T. Varkevisser, M. Teunisse, J. Hoecht, S. Ketzetzi, S. Ouhajji, and D. J. Kraft, Catalytically propelled 3D printed colloidal microswimmers, Soft Matter 16, 10463 (2020).
  86. R. D. Baker, T. Montenegro-Johnson, A. D. Sediako, M. J. Thomson, A. Sen, E. Lauga, and I. S. Aranson, Shape-programmed 3D printed swimming microtori for the transport of passive and active agents, Nat. Commun. 10, 4932 (2019).
  87. H. Ceylan, I. C. Yasa, and M. Sitti, 3D chemical patterning of micromaterials for encoded functionality, Adv. Mater. 29, 1605072 (2017).
  88. S. Riedel, L. A. Hoffmann, L. Giomi, and D. J. Kraft, Designing highly efficient interlocking interactions in anisotropic active particles, Nat. Commun. 15, 5692 (2024).
  89. G. Vizsnyiczai, G. Frangipane, C. Maggi, F. Saglimbeni, S. Bianchi, and R. Di Leonardo, Light controlled 3D micromotors powered by bacteria, Nat. Commun. 8, 15974 (2017).
  90. J. Happel and M. Brenner, Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media (Springer Nature, Berlin, 1983).
  91. S. Riedel, M. Wei, and D. J. Kraft, Shape-dependent direction reversal in anisotropic catalytic microswimmers, Commun. Phys. (2026).
  92. S. Michelin and E. Lauga, Geometric tuning of self-propulsion for Janus catalytic particles, Sci. Rep. 7, 42264 (2017).
  93. A. M. Brooks, S. Sabrina, and K. J. Bishop, Shape-directed dynamics of active colloids powered by induced-charge electrophoresis, Proc. Natl. Acad. Sci. USA 115, E1090 (2018).
  94. C. L. Smart, T. G. Pearson, Z. Liang, M. X. Lim, M. I. Abdelrahman, F. Monticone, I. Cohen, and P. L. McEuen, Magnetically programmed diffractive robotics, Science 386, 1031 (2024).
  95. H. Löwen, Inertial effects of self-propelled particles: From active Brownian to active Langevin motion, J. Chem. Phys. 152, 040901 (2020).
  96. S. E. Moran, P. W. Schönhöfer, and S. C. Glotzer, Shape-driven, emergent behavior in active particle mixtures, New J. Phys. 24, 063007 (2022).
  97. Y. Shelke, A. N. S, and H. R. Vutukuri, Shape anisotropy governs organization of active rods: Swarming, turbulence, flocking, and jamming, Science 392, 202 (2026).
  98. Z. Ma and R. Ni, Dynamical clustering interrupts motility-induced phase separation in chiral active Brownian particles, J. Chem. Phys. 156, 021102 (2022).
  99. N. H. P. Nguyen, D. Klotsa, M. Engel, and S. C. Glotzer, Emergent collective phenomena in a mixture of hard shapes through active rotation, Phys. Rev. Lett. 112, 075701 (2014).
  100. N. Uchida and R. Golestanian, Synchronization in a carpet of hydrodynamically coupled rotors with random intrinsic frequency, Europhys. Lett. 89, 50011 (2010).
  101. B. Liebchen and D. Levis, Collective behavior of chiral active matter: Pattern formation and enhanced flocking, Phys. Rev. Lett. 119, 058002 (2017).
  102. B. Ventejou, H. Chaté, R. Montagne, and X.-q. Shi, Susceptibility of orientationally ordered active matter to chirality disorder, Phys. Rev. Lett. 127, 238001 (2021).
  103. D. Levis, I. Pagonabarraga, and B. Liebchen, Activity induced synchronization: Mutual flocking and chiral self-sorting, Phys. Rev. Res. 1, 023026 (2019).
  104. V. Soni, E. S. Bililign, S. Magkiriadou, S. Sacanna, D. Bartolo, M. J. Shelley, and W. T. Irvine, The odd free surface flows of a colloidal chiral fluid, Nat. Phys. 15, 1188 (2019).
  105. T. H. Tan, A. Mietke, J. Li, Y. Chen, H. Higinbotham, P. J. Foster, S. Gokhale, J. Dunkel, and N. Fakhri, Odd dynamics of living chiral crystals, Nature (London) 607, 287 (2022).
  106. B. Zhang, A. Sokolov, and A. Snezhko, Reconfigurable emergent patterns in active chiral fluids, Nat. Commun. 11, 4401 (2020).
  107. R. Braun, A. Poncet, A. Morin, and D. Bartolo, Phase coherence and disorder-induced wave propagation in micromotor arrays, Nat. Phys. (2026).
  108. M. Tarama and T. Ohta, Oscillatory motions of an active deformable particle, Phys. Rev. E 87, 062912 (2013).
  109. M. Tarama and T. Ohta, Spinning motion of a deformable self-propelled particle in two dimensions, J. Phys.: Condens. Matter 24, 464129 (2012).
  110. M. C. Marchetti, J.-F. Joanny, S. Ramaswamy, T. B. Liverpool, J. Prost, M. Rao, and R. A. Simha, Hydrodynamics of soft active matter, Rev. Mod. Phys. 85, 1143 (2013).
  111. Y. Alapan, B. Yigit, O. Beker, A. F. Demirörs, and M. Sitti, Shape-encoded dynamic assembly of mobile micromachines, Nat. Mater. 18, 1244 (2019).
  112. P. Baconnier, D. Shohat, C. H. López, C. Coulais, V. Démery, G. Düring, and O. Dauchot, Selective and collective actuation in active solids, Nat. Phys. 18, 1234 (2022).
  113. E. Ferrante, A. E. Turgut, M. Dorigo, and C. Huepe, Elasticity-based mechanism for the collective motion of self-propelled particles with springlike interactions: A model system for natural and artificial swarms, Phys. Rev. Lett. 111, 268302 (2013).
  114. J. Veenstra, C. Scheibner, M. Brandenbourger, J. Binysh, A. Souslov, V. Vitelli, and C. Coulais, Adaptive locomotion of active solids, Nature (London) 639, 935 (2025).
  115. S. Gu, C. Mao, A. G. Izard, S. Sadana, D. Terrel-Perez, M. Mettry-Yassa, W. Choi, W. Zhou, H. Yan, Z. Zhou, T. Massey, A. Abelson, Y. Zhou, S. Huang, C. Daraio, T. U. Tumkur, J. A. Fan, and X. Xia, 3D nanolithography with metalens arrays and spatially adaptive illumination, Nature (London) 648, 591 (2025).
  116. J. Dunkel, S. Heidenreich, K. Drescher, H. H. Wensink, M. Bär, and R. E. Goldstein, Fluid dynamics of bacterial turbulence, Phys. Rev. Lett. 110, 228102 (2013).
  117. D. Saintillan and M. J. Shelley, Instabilities, pattern formation, and mixing in active suspensions, Phys. Fluids 20, 123304 (2008).
  118. H. Stark, Artificial chemotaxis of self-phoretic active colloids: Collective behavior, Acc. Chem. Res. 51, 2681 (2018).
  119. J. Agudo-Canalejo and R. Golestanian, Active phase separation in mixtures of chemically interacting particles, Phys. Rev. Lett. 123, 018101 (2019).
  120. C. Scheibner, A. Souslov, D. Banerjee, P. Surówka, W. T. M. Irvine, and V. Vitelli, Odd elasticity, Nat. Phys. 16, 475 (2020).
  121. B. Zhang, H. Yuan, A. Sokolov, M. O. de la Cruz, and A. Snezhko, Polar state reversal in active fluids, Nat. Phys. 18, 154 (2022).
  122. P. Rietz, P. Somers, S. Kalt, J. L. G. Schneider, P. Kiefer, and M. Wegener, Dynamic multi-focus 3D laser nanoprinting based on two-step absorption and computational holography, Laser Photonics Rev. 19, 2500187 (2025).
  123. X. Lyu, W. Lei, G. Gardi, M. T. A. Khan, S. Bagheri, M. Zhang, and M. Sitti, Optofluidic three-dimensional microfabrication and nanofabrication, Nature (London) 650, 613 (2026).
  124. D. Dzikonski, E. Bekker, R. Zamboni, D. Ciechanska, A. Schwab, C. Denz, and J. Imbrock, Hybrid microfluidic chip design with two-photon polymerized protein-based hydrogel microstructures for single cell experiments, Adv. Mater. Technol. 10, 2401571 (2025).
  125. X. Zhou, X. Liu, and Z. Gu, Photoresist development for 3d printing of conductive microstructures via two-photon polymerization, Adv. Mater. 36, 2409326 (2024).
  126. A. F. Demirörs, E. Poloni, M. Chiesa, F. L. Bargardi, M. R. Binelli, W. Woigk, L. D. C. de Castro, N. Kleger, F. B. Coulter, A. Sicher, H. Galinski, F. Scheffold, and A. R. Studart, Three-dimensional printing of photonic colloidal glasses into objects with isotropic structural color, Nat. Commun. 13, 4397 (2022).
  127. J. Purtov, A. Verch, P. Rogin, and R. Hensel, Improved development procedure to enhance the stability of microstructures created by two-photon polymerization, Microelectron. Eng. 194, 45 (2018).
  128. I. Boudene and Y. Bougdid, Two-photon polymerization-assisted 3D laser nanoprinting: From fundamentals to modern applications, J. Mater. Chem. C 13, 18597 (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation