215 citations · 2.2k across the 87 of their papers we have counts for
85 papers · 1 filter
Self-limited stacking of non-Euclidean colloidal shells: From saddles to caps
Kyle T. Sullivan, Mark J. Stevens, Gregory M. Grason
The presence of geometric frustration in self-assemblies, stemming from a shape misfit between identical subunits, can lead to the spontaneous formation of finite-sized structures…
Frustrated shapes of solid domains in fluid membrane vesicles: From rolls and folds to crumples and wrinkles
Geunwoong Jeon, Anthony N. A. Prempeh, Maria M. Santore +1
Fluid-solid composite vesicles, comprising 2D solid domains integrated into a topologically-closed fluid bilayer membrane, exhibit complex morphologies arising from the geometric f…
Topological and morphological signatures of disorder in a self-assembled, soft matter sponge network
Xueyang Feng, Suman S. Kulkarni, Michael S. Dimitriyev +4
Many soft matter systems exhibit ordered, polycontinuous network morphologies, such as the cubic (double) gyroid or diamond, as well as disordered network morphologies known generi…
Sculpting 2D Crystals via Membrane Contractions before and during Solidification
Hao Wan, Geunwoong Jeon, Gregory M. Grason +1
When phospholipids crystallize within the otherwise fluid membranes of giant unilamellar vesicles, the resulting molecularly-thin "2D" solids exhibit great variety in their morphol…
Geometrically Frustrated Assembly at Finite Temperature: Phase Transitions from Self-Limiting to Bulk States
Nicholas Hackney, Gregory Grason
Geometric frustration is recognized to generate complex morphologies in self-assembling particulate and molecular systems. In bulk states, frustrated drives structured arrays of to…
Not even metastable: Cubic double-diamond in diblock copolymer melts
Micheal S. Dimitriyev, Benjamin R. Greenvall, Rejoy Matthew +1
We study the thermodynamics of continuous transformations between two canonical, cubic network phases of block copolymer melts: double-gyroid, an equilibrium morphology for many sy…
From toroids to helical tubules: Kirigami-inspired programmable assembly of two-periodic curved crystals
Mason Price, Daichi Hayakawa, Thomas E. Videbæk +6
Biology is full of intricate molecular structures whose geometries are inextricably linked to their function. Many of these structures exhibit varying curvature, such as the helica…
Modular programming of interaction and geometric specificity enables assembly of complex DNA origami nanostructures
Rupam Saha, Daichi Hayakawa, Thomas E. Videbaek +8
We present a modular DNA origami design approach to address the challenges of assembling geometrically complex nanoscale structures, including those with nonuniform Gaussian curvat…
Self-limiting states of polar misfits: Frustrated assembly of warped-jigsaw particles
Michael Wang, Gregory M. Grason
We study the ground state thermodynamics of a model class of geometrically frustrated assemblies, known as {\it warped-jigsaw} particles. While it is known that frustration in soft…
Measuring multisubunit mechanics of geometrically-programmed colloidal assemblies via cryo-EM multi-body refinement
Thomas E. Videbæk, Daichi Hayakawa, Michael F. Hagan +3
Programmable self-assembly has recently enabled the creation of complex structures through precise control of the interparticle interactions and the particle geometries. Targeting…
Magic sizes enable minimal-complexity, high-fidelity assembly of programmable shells
Botond Tyukodi, Fernando Caballero, Daichi Hayakawa +4
Recent advances in synthetic methods enable designing subunits that self-assemble into structures with precise, finite sizes and well-defined architectures, but yields are frequent…
Thermal Preconditioning of Membrane Stress to Control the Shapes of Ultrathin Crystals
Hao Wan, Geunwoong Jeon, Gregory M. Grason +1
We employ the phospholipid bilayer membranes of giant unilamellar vesicles as a free-standing environment for the growth of membrane-integrated ultrathin phospholipid crystals poss…
Geometrically frustrated, mechanical metamaterial membranes: Large-scale stress accumulation and size-selective assembly
Micheal Wang, Sourav Roy, Christian D. Santangelo +1
We study the effect of geometric frustration on dilational mechanical metamaterial membranes. While shape frustrated elastic plates can only accommodate non-zero Gaussian curvature…
Helical close-packing of anisotropic tubes
Benjamin R. Greenvall, Gregory M. Grason
Helically close-packed states of filaments are common in natural and engineered material systems, ranging from nanoscopic biomolecules to macroscopic structural components. While t…
Shape equilibria of vesicles with rigid planar inclusions
Geunwoong Jeon, Justin Fagnoni, Hao Wan +2
Motivated by recent studies of two-phase lipid vesicles possessing 2D solid domains integrated within a fluid bilayer phase, we study the shape equilibria of closed vesicles posses…
Symmetry-guided inverse design of self-assembling multiscale DNA origami tilings
Daichi Hayakawa, Thomas E. Videbæk, Gregory M. Grason +1
Recent advances enable the creation of nanoscale building blocks with complex geometries and interaction specificities for self-assembly. This nearly boundless design space necessi…
Mesoscale Polymer Arrays: High Aspect Ratio Surface Structures and Their Digital Reconstruction
Demi E. Moed, Michael S. Dimitriyev, Benjamin R. Greenvall +2
Inspired by adhesive bio-filamentous structure, such as bacterial pili, this work details the methods used to fabricate and characterize a surface-anchored array of thin, flexible…
Self-limiting stacks of curvature-frustrated colloidal plates: Roles of intra-particle versus inter-particle deformations
Kyle T. Sullivan, Ryan C. Hayward, Gregory M. Grason
In geometrically frustrated assemblies local inter-subunit misfits propagate to intra-assembly strain gradients, giving rise to anomalous self-limiting assembly thermodynamics. Her…
Non-affinity of liquid networks and bicontinuous mesophases
Michael S. Dimitriyev, Xueyan Feng, Edwin L. Thomas +1
Amphiphiles self-assemble into a variety of bicontinuous mesophases whose equilibrium structures take the form of high-symmetry cubic networks. Here, we show that the symmetry-brea…
Economical routes to size-specific assembly of self-closing structures
Thomas E. Videbæk, Daichi Hayakawa, Gregory M. Grason +3
Self-assembly is one of the prevalent strategies used by living systems to fabricate ensembles of precision nanometer-scale structures and devices. The push for analogous approache…
Chain trajectories, domain shapes and terminal boundaries in block copolymers
Benjamin R. Greenvall, Michael S. Dimitriyev, Gregory M. Grason
The packing geometry of macromolecules in complex mesophases is of key importance to self-organization in synthetic and biological soft materials. While approximate or heuristic mo…
Limits of economy and fidelity for programmable assembly of size-controlled triply-periodic polyhedra
Carlos M. Duque, Douglas M. Hall, Botond Tyukodi +3
We propose and investigate an extension of the Caspar-Klug symmetry principles for viral capsid assembly to the programmable assembly of size-controlled triply-periodic polyhedra,…
Thermal stability and secondary aggregation of self-limiting, geometrically-frustrated assemblies: Chain assembly of incommensurate polybricks
Michael Wang, Gregory Grason
In geometrically frustrated assemblies, equilibrium self-limitation manifests in the form of a minimum in the free energy per subunit at a finite, multi-subunit size which results…
Flowering of Developable 2D Crystal Shapes in Closed, Fluid Membranes
Hao Wan, Geunwoong Jeon, Weiyue Xin +2
The morphologies of two-dimensional (2D) crystals, nucleated, grown, and integrated within 2D elastic fluids, for instance in giant vesicle membranes, are dictated by an interplay…