---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21006'
abstract:
- lang: eng
  text: Modern experimental methods in programmable self-assembly make it possible
    to precisely design particle concentrations, shapes and interactions. However,
    more physical insight is needed before we can take full advantage of this vast
    design space to assemble nanostructures with complex form and function. Here we
    show how a substantial part of this design space can be quickly and comprehensively
    understood by identifying a class of thermodynamic constraints that act on it.
    These thermodynamic constraints form a high-dimensional convex polyhedron that
    determines which nanostructures can be assembled at high equilibrium yield and
    reveals limitations that govern the coexistence of structures. We validate our
    predictions through detailed, quantitative assembly experiments of nanoscale particles
    synthesized using DNA origami. Our results uncover physical relationships underpinning
    many-component programmable self-assembly in equilibrium and form the basis for
    robust inverse design, applicable to various systems from biological protein complexes
    to synthetic nanomachines.
acknowledgement: We thank B. Isaac and A. Tiano for their technical support with the
  electron microscopy and S. Waitukaitis for helpful comments on the manuscript. The
  TEM images were prepared and imaged at the Brandeis Electron Microscopy facility.
  This work was supported by the Gesellschaft für Forschungsförderung Niederösterreich
  under project FTI23-G-011 (M.C.H. and C.P.G.), the Brandeis University Materials
  Research Science and Engineering Center (MRSEC) under grant number NSF DMR-2011846
  (T.E.V., D.H. and W.B.R.) and the Smith Family Foundation (W.B.R.). Open access
  funding provided by Institute of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Maximilian
  full_name: Hübl, Maximilian
  id: 5eb8629e-15b2-11ec-abd3-e6f3e5e01f32
  last_name: Hübl
- first_name: Thomas E.
  full_name: Videbæk, Thomas E.
  last_name: Videbæk
- first_name: Daichi
  full_name: Hayakawa, Daichi
  last_name: Hayakawa
- first_name: W. Benjamin
  full_name: Rogers, W. Benjamin
  last_name: Rogers
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
citation:
  ama: Hübl M, Videbæk TE, Hayakawa D, Rogers WB, Goodrich CP. A polyhedral structure
    controls programmable self-assembly. <i>Nature Physics</i>. 2026. doi:<a href="https://doi.org/10.1038/s41567-025-03120-3">10.1038/s41567-025-03120-3</a>
  apa: Hübl, M., Videbæk, T. E., Hayakawa, D., Rogers, W. B., &#38; Goodrich, C. P.
    (2026). A polyhedral structure controls programmable self-assembly. <i>Nature
    Physics</i>. Springer Nature. <a href="https://doi.org/10.1038/s41567-025-03120-3">https://doi.org/10.1038/s41567-025-03120-3</a>
  chicago: Hübl, Maximilian, Thomas E. Videbæk, Daichi Hayakawa, W. Benjamin Rogers,
    and Carl Peter Goodrich. “A Polyhedral Structure Controls Programmable Self-Assembly.”
    <i>Nature Physics</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41567-025-03120-3">https://doi.org/10.1038/s41567-025-03120-3</a>.
  ieee: M. Hübl, T. E. Videbæk, D. Hayakawa, W. B. Rogers, and C. P. Goodrich, “A
    polyhedral structure controls programmable self-assembly,” <i>Nature Physics</i>.
    Springer Nature, 2026.
  ista: Hübl M, Videbæk TE, Hayakawa D, Rogers WB, Goodrich CP. 2026. A polyhedral
    structure controls programmable self-assembly. Nature Physics.
  mla: Hübl, Maximilian, et al. “A Polyhedral Structure Controls Programmable Self-Assembly.”
    <i>Nature Physics</i>, Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41567-025-03120-3">10.1038/s41567-025-03120-3</a>.
  short: M. Hübl, T.E. Videbæk, D. Hayakawa, W.B. Rogers, C.P. Goodrich, Nature Physics
    (2026).
corr_author: '1'
date_created: 2026-01-20T10:02:19Z
date_published: 2026-01-08T00:00:00Z
date_updated: 2026-01-21T10:26:32Z
day: '08'
ddc:
- '570'
- '540'
department:
- _id: CaGo
- _id: GradSch
doi: 10.1038/s41567-025-03120-3
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1038/s41567-025-03120-3
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 8dd93da8-16d5-11f0-9cad-d2c70200d9a5
  grant_number: FTI23-G-011
  name: Dynamically reconfigurable self-assembly with triangular DNA-origami bricks
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A polyhedral structure controls programmable self-assembly
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '21408'
abstract:
- lang: eng
  text: Rational design strategies for self-assembly require a detailed understanding
    of both the equilibrium state and the assembly kinetics. While the former is starting
    to be well understood, the latter remains a major theoretical challenge, especially
    in programmable systems and the so-called semi-addressable regime, where binding
    is often nondeterministic and the formation of off-target structures negatively
    influences the assembly. Here, we show that it is possible to simultaneously sculpt
    the assembly outcome and the assembly kinetics through the underexplored design
    space of binding energies and particle concentrations. By formulating the assembly
    process as a complex reaction network, we calculate and optimize the tradeoff
    between assembly speed and quality and show that parameter optimization can speed
    up assembly by many orders of magnitude without lowering the yield of the target
    structure. Although the exact speedup varies from design to design, we find the
    largest speedups for nondeterministic systems where unoptimized assembly is the
    slowest, sometimes even making them assemble faster than optimized, fully addressable
    designs. Therefore, these results not only solve a key challenge in semi-addressable
    self-assembly but further emphasize the utility of semi-addressability, where
    designs have the potential to be faster as well as cheaper (fewer particle species)
    and better (higher yield). More broadly, our results highlight the importance
    of parameter optimization in programmable self-assembly and provide practical
    tools for simultaneous optimization of kinetics and yield in a wide range of systems.
acknowledgement: The research was supported by the Gesellschaft für Forschungsförderung
  Niederösterreich under Project No. FTI23-G-011.
article_number: '084904'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Maximilian
  full_name: Hübl, Maximilian
  id: 5eb8629e-15b2-11ec-abd3-e6f3e5e01f32
  last_name: Hübl
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
citation:
  ama: Hübl M, Goodrich CP. Simultaneous optimization of assembly time and yield in
    programmable self-assembly. <i>Journal of Chemical Physics</i>. 2026;164(8). doi:<a
    href="https://doi.org/10.1063/5.0304731">10.1063/5.0304731</a>
  apa: Hübl, M., &#38; Goodrich, C. P. (2026). Simultaneous optimization of assembly
    time and yield in programmable self-assembly. <i>Journal of Chemical Physics</i>.
    AIP Publishing. <a href="https://doi.org/10.1063/5.0304731">https://doi.org/10.1063/5.0304731</a>
  chicago: Hübl, Maximilian, and Carl Peter Goodrich. “Simultaneous Optimization of
    Assembly Time and Yield in Programmable Self-Assembly.” <i>Journal of Chemical
    Physics</i>. AIP Publishing, 2026. <a href="https://doi.org/10.1063/5.0304731">https://doi.org/10.1063/5.0304731</a>.
  ieee: M. Hübl and C. P. Goodrich, “Simultaneous optimization of assembly time and
    yield in programmable self-assembly,” <i>Journal of Chemical Physics</i>, vol.
    164, no. 8. AIP Publishing, 2026.
  ista: Hübl M, Goodrich CP. 2026. Simultaneous optimization of assembly time and
    yield in programmable self-assembly. Journal of Chemical Physics. 164(8), 084904.
  mla: Hübl, Maximilian, and Carl Peter Goodrich. “Simultaneous Optimization of Assembly
    Time and Yield in Programmable Self-Assembly.” <i>Journal of Chemical Physics</i>,
    vol. 164, no. 8, 084904, AIP Publishing, 2026, doi:<a href="https://doi.org/10.1063/5.0304731">10.1063/5.0304731</a>.
  short: M. Hübl, C.P. Goodrich, Journal of Chemical Physics 164 (2026).
corr_author: '1'
date_created: 2026-03-08T23:01:45Z
date_published: 2026-02-28T00:00:00Z
date_updated: 2026-03-09T10:40:41Z
day: '28'
ddc:
- '540'
department:
- _id: CaGo
- _id: GradSch
doi: 10.1063/5.0304731
external_id:
  arxiv:
  - '2510.07876'
file:
- access_level: open_access
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  creator: dernst
  date_created: 2026-03-09T10:38:55Z
  date_updated: 2026-03-09T10:38:55Z
  file_id: '21415'
  file_name: 2026_JourChemPhysics_Huebl.pdf
  file_size: 6903766
  relation: main_file
  success: 1
file_date_updated: 2026-03-09T10:38:55Z
has_accepted_license: '1'
intvolume: '       164'
issue: '8'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 8dd93da8-16d5-11f0-9cad-d2c70200d9a5
  grant_number: FTI23-G-011
  name: Dynamically reconfigurable self-assembly with triangular DNA-origami bricks
publication: Journal of Chemical Physics
publication_identifier:
  eissn:
  - 1089-7690
  issn:
  - 0021-9606
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Simultaneous optimization of assembly time and yield in programmable self-assembly
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '21482'
abstract:
- lang: eng
  text: Controlling the size and shape of assembled structures is a fundamental challenge
    in self-assembly and is highly relevant in material design and biology. Here,
    we show that specific but promiscuous short-range binding interactions make it
    possible to economically assemble linear filaments of user-defined length. Our
    approach leads to independent control over the mean and width of the filament
    size distribution and allows us to smoothly explore design trade-offs between
    assembly quality (spread in size) and cost (number of particle species). We employ
    a simple hierarchical assembly protocol to minimize assembly times and show that
    multiple stages of hierarchy make it possible to extend our approach to the assembly
    of higher-dimensional structures. Our work provides a conceptually simple solution
    to size control that is applicable to a broad range of systems, from DNA nanoparticles
    to supramolecular polymers and beyond.
acknowledgement: We thank Maitane Muñoz-Basagoiti for helpful discussions. The research
  was supported by the Gesellschaft für Forschungsförderung Niederösterreich under
  Project No. FTI23-G-011.
article_number: L012054
article_processing_charge: Yes
article_type: original
author:
- first_name: Maximilian
  full_name: Hübl, Maximilian
  id: 5eb8629e-15b2-11ec-abd3-e6f3e5e01f32
  last_name: Hübl
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
citation:
  ama: Hübl M, Goodrich CP. Entropic size control of self-assembled filaments. <i>Physical
    Review Research</i>. 2026;8. doi:<a href="https://doi.org/10.1103/68rs-3qgn">10.1103/68rs-3qgn</a>
  apa: Hübl, M., &#38; Goodrich, C. P. (2026). Entropic size control of self-assembled
    filaments. <i>Physical Review Research</i>. American Physical Society. <a href="https://doi.org/10.1103/68rs-3qgn">https://doi.org/10.1103/68rs-3qgn</a>
  chicago: Hübl, Maximilian, and Carl Peter Goodrich. “Entropic Size Control of Self-Assembled
    Filaments.” <i>Physical Review Research</i>. American Physical Society, 2026.
    <a href="https://doi.org/10.1103/68rs-3qgn">https://doi.org/10.1103/68rs-3qgn</a>.
  ieee: M. Hübl and C. P. Goodrich, “Entropic size control of self-assembled filaments,”
    <i>Physical Review Research</i>, vol. 8. American Physical Society, 2026.
  ista: Hübl M, Goodrich CP. 2026. Entropic size control of self-assembled filaments.
    Physical Review Research. 8, L012054.
  mla: Hübl, Maximilian, and Carl Peter Goodrich. “Entropic Size Control of Self-Assembled
    Filaments.” <i>Physical Review Research</i>, vol. 8, L012054, American Physical
    Society, 2026, doi:<a href="https://doi.org/10.1103/68rs-3qgn">10.1103/68rs-3qgn</a>.
  short: M. Hübl, C.P. Goodrich, Physical Review Research 8 (2026).
corr_author: '1'
date_created: 2026-03-23T14:58:31Z
date_published: 2026-03-05T00:00:00Z
date_updated: 2026-03-23T15:59:11Z
day: '05'
ddc:
- '530'
department:
- _id: CaGo
- _id: GradSch
doi: 10.1103/68rs-3qgn
file:
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  checksum: 6d8a68e4a19f8dad5abdf75f72316f3d
  content_type: application/pdf
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  date_created: 2026-03-23T15:53:29Z
  date_updated: 2026-03-23T15:53:29Z
  file_id: '21493'
  file_name: 2026_PhysicalReviewResearch_Huebl.pdf
  file_size: 2680924
  relation: main_file
  success: 1
file_date_updated: 2026-03-23T15:53:29Z
has_accepted_license: '1'
intvolume: '         8'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 8dd93da8-16d5-11f0-9cad-d2c70200d9a5
  grant_number: FTI23-G-011
  name: Dynamically reconfigurable self-assembly with triangular DNA-origami bricks
publication: Physical Review Research
publication_identifier:
  eissn:
  - 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Entropic size control of self-assembled filaments
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '20727'
abstract:
- lang: eng
  text: Acoustic levitation provides a unique method for manipulating small particles
    as it completely evades effects from gravity, container walls, or physical handling.
    These advantages make it a tantalizing platform for studying complex phenomena
    in many-particle systems. In most standing-wave traps, however, particles interact
    via acoustic scattering forces that cause them to merge into a single dense object.
    Here, we introduce a complementary approach that combines acoustic levitation
    with electrostatic charging to assemble, adapt, and activate complex, separated
    many-particle systems. The key idea is to superimpose electrostatic repulsion
    on the intrinsic acoustic attraction, rendering a so-called “mermaid” potential
    where interactions are attractive at short range and repulsive at long range.
    By controlling the attraction–repulsion balance, we can levitate expanded structures
    where all particles are separated, collapsed structures where they are in contact,
    and hybrid ones consisting of both expanded and collapsed components. We find
    that collapsed and expanded structures are inherently stable, whereas hybrid ones
    exhibit transient stability governed by acoustically unstable dimers. Furthermore,
    we show how electrostatics allow us to adapt between configurations on the fly,
    either by quasistatic discharge or discrete up/down charge steps. Finally, we
    demonstrate how large structures experience selective energy pumping from the
    acoustic field—thrusting some particles into motion while others remain stationary—leading
    to complex dynamics including coupled rotations and oscillations. Our approach
    establishes a design space beyond acoustic collapse, offering possibilities to
    study many-particle systems with complex interactions, while suggesting pathways
    toward scalable integration into materials processing and other applications.
acknowledged_ssus:
- _id: M-Shop
acknowledgement: We thank Dustin Kleckner, Jack-William Barotta, and Daniel M. Harris
  for insightful discussions. We acknowledge the Miba machine shop at the Institute
  of Science and Technology Austria for instrumentation support. M.C.H. and C.P.G.
  acknowledge funding by the Gesellschaft für Forschungsförderung Niederösterreich
  under project FTI23-G-011.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Sue
  full_name: Shi, Sue
  id: 5c5b9247-15b2-11ec-abd3-fd958715639c
  last_name: Shi
- first_name: Maximilian
  full_name: Hübl, Maximilian
  id: 5eb8629e-15b2-11ec-abd3-e6f3e5e01f32
  last_name: Hübl
- first_name: Galien M
  full_name: Grosjean, Galien M
  id: 0C5FDA4A-9CF6-11E9-8939-FF05E6697425
  last_name: Grosjean
  orcid: 0000-0001-5154-417X
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
- first_name: Scott R
  full_name: Waitukaitis, Scott R
  id: 3A1FFC16-F248-11E8-B48F-1D18A9856A87
  last_name: Waitukaitis
  orcid: 0000-0002-2299-3176
citation:
  ama: Shi S, Hübl M, Grosjean GM, Goodrich CP, Waitukaitis SR. Electrostatics overcome
    acoustic collapse to assemble, adapt, and activate levitated matter. <i>Proceedings
    of the National Academy of Sciences</i>. 2025;122(50):e2516865122. doi:<a href="https://doi.org/10.1073/pnas.2516865122">10.1073/pnas.2516865122</a>
  apa: Shi, S., Hübl, M., Grosjean, G. M., Goodrich, C. P., &#38; Waitukaitis, S.
    R. (2025). Electrostatics overcome acoustic collapse to assemble, adapt, and activate
    levitated matter. <i>Proceedings of the National Academy of Sciences</i>. National
    Academy of Sciences. <a href="https://doi.org/10.1073/pnas.2516865122">https://doi.org/10.1073/pnas.2516865122</a>
  chicago: Shi, Sue, Maximilian Hübl, Galien M Grosjean, Carl Peter Goodrich, and
    Scott R Waitukaitis. “Electrostatics Overcome Acoustic Collapse to Assemble, Adapt,
    and Activate Levitated Matter.” <i>Proceedings of the National Academy of Sciences</i>.
    National Academy of Sciences, 2025. <a href="https://doi.org/10.1073/pnas.2516865122">https://doi.org/10.1073/pnas.2516865122</a>.
  ieee: S. Shi, M. Hübl, G. M. Grosjean, C. P. Goodrich, and S. R. Waitukaitis, “Electrostatics
    overcome acoustic collapse to assemble, adapt, and activate levitated matter,”
    <i>Proceedings of the National Academy of Sciences</i>, vol. 122, no. 50. National
    Academy of Sciences, p. e2516865122, 2025.
  ista: Shi S, Hübl M, Grosjean GM, Goodrich CP, Waitukaitis SR. 2025. Electrostatics
    overcome acoustic collapse to assemble, adapt, and activate levitated matter.
    Proceedings of the National Academy of Sciences. 122(50), e2516865122.
  mla: Shi, Sue, et al. “Electrostatics Overcome Acoustic Collapse to Assemble, Adapt,
    and Activate Levitated Matter.” <i>Proceedings of the National Academy of Sciences</i>,
    vol. 122, no. 50, National Academy of Sciences, 2025, p. e2516865122, doi:<a href="https://doi.org/10.1073/pnas.2516865122">10.1073/pnas.2516865122</a>.
  short: S. Shi, M. Hübl, G.M. Grosjean, C.P. Goodrich, S.R. Waitukaitis, Proceedings
    of the National Academy of Sciences 122 (2025) e2516865122.
corr_author: '1'
date_created: 2025-12-07T23:02:00Z
date_published: 2025-12-16T00:00:00Z
date_updated: 2026-02-16T12:33:43Z
day: '16'
ddc:
- '530'
department:
- _id: ScWa
- _id: CaGo
doi: 10.1073/pnas.2516865122
external_id:
  arxiv:
  - '2507.01739'
file:
- access_level: open_access
  checksum: c40dc4c909724b9d1146636612e8821a
  content_type: application/pdf
  creator: dernst
  date_created: 2025-12-09T12:45:53Z
  date_updated: 2025-12-09T12:45:53Z
  file_id: '20744'
  file_name: 2025_PNAS_Shi.pdf
  file_size: 10621381
  relation: main_file
  success: 1
file_date_updated: 2025-12-09T12:45:53Z
has_accepted_license: '1'
intvolume: '       122'
issue: '50'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '12'
oa: 1
oa_version: Published Version
page: e2516865122
project:
- _id: 8dd93da8-16d5-11f0-9cad-d2c70200d9a5
  grant_number: FTI23-G-011
  name: Dynamically reconfigurable self-assembly with triangular DNA-origami bricks
publication: Proceedings of the National Academy of Sciences
publication_identifier:
  eissn:
  - 1091-6490
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
related_material:
  record:
  - id: '20749'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Electrostatics overcome acoustic collapse to assemble, adapt, and activate
  levitated matter
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 122
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19067'
abstract:
- lang: eng
  text: Modern experimental methods enable the creation of self-assembly building
    blocks with tunable interactions, but optimally exploiting this tunability for
    the self-assembly of desired structures remains an important challenge. Many studies
    of this inverse problem start with the so-called fully addressable limit, where
    every particle in a target structure is different. This leads to clear design
    principles that often result in high assembly yield, but it is not a scalable
    approach—at some point, one must grapple with “reusing” building blocks, which
    lowers the degree of addressability and may cause a multitude of off-target structures
    to form, complicating the design process. Here, we solve a key obstacle preventing
    robust inverse design in the “semiaddressable regime” by developing a highly efficient
    algorithm that enumerates all structures that can be formed from a given set of
    building blocks. By combining this with established partition-function-based yield
    calculations, we show that it is almost always possible to find economical semiaddressable
    designs where the entropic gain from reusing building blocks outweighs the presence
    of off-target structures and even increases the yield of the target. Thus, not
    only does our enumeration algorithm enable robust and scalable inverse design
    in the semiaddressable regime, our results demonstrate that it is possible to
    operate in this regime while maintaining the level of control often associated
    with full addressability.
acknowledgement: We thank Daichi Hayakawa, Thomas E. Videbæk, and W. Benjamin Rogers
  for important discussions and Jérémie Palacci, Anđela Šarić, and Scott Waitukaitis
  for helpful comments on the manuscript. The research was supported by the Gesellschaft
  für Forschungsförderung Niederösterreich under Project No. FTI23-G-011.
article_number: '058204'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Maximilian
  full_name: Hübl, Maximilian
  id: 5eb8629e-15b2-11ec-abd3-e6f3e5e01f32
  last_name: Hübl
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
citation:
  ama: Hübl M, Goodrich CP. Accessing semiaddressable self-assembly with efficient
    structure enumeration. <i>Physical Review Letters</i>. 2025;134(5). doi:<a href="https://doi.org/10.1103/PhysRevLett.134.058204">10.1103/PhysRevLett.134.058204</a>
  apa: Hübl, M., &#38; Goodrich, C. P. (2025). Accessing semiaddressable self-assembly
    with efficient structure enumeration. <i>Physical Review Letters</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.134.058204">https://doi.org/10.1103/PhysRevLett.134.058204</a>
  chicago: Hübl, Maximilian, and Carl Peter Goodrich. “Accessing Semiaddressable Self-Assembly
    with Efficient Structure Enumeration.” <i>Physical Review Letters</i>. American
    Physical Society, 2025. <a href="https://doi.org/10.1103/PhysRevLett.134.058204">https://doi.org/10.1103/PhysRevLett.134.058204</a>.
  ieee: M. Hübl and C. P. Goodrich, “Accessing semiaddressable self-assembly with
    efficient structure enumeration,” <i>Physical Review Letters</i>, vol. 134, no.
    5. American Physical Society, 2025.
  ista: Hübl M, Goodrich CP. 2025. Accessing semiaddressable self-assembly with efficient
    structure enumeration. Physical Review Letters. 134(5), 058204.
  mla: Hübl, Maximilian, and Carl Peter Goodrich. “Accessing Semiaddressable Self-Assembly
    with Efficient Structure Enumeration.” <i>Physical Review Letters</i>, vol. 134,
    no. 5, 058204, American Physical Society, 2025, doi:<a href="https://doi.org/10.1103/PhysRevLett.134.058204">10.1103/PhysRevLett.134.058204</a>.
  short: M. Hübl, C.P. Goodrich, Physical Review Letters 134 (2025).
corr_author: '1'
date_created: 2025-02-23T23:01:55Z
date_published: 2025-02-07T00:00:00Z
date_updated: 2025-09-30T10:35:47Z
day: '07'
department:
- _id: CaGo
- _id: GradSch
doi: 10.1103/PhysRevLett.134.058204
external_id:
  arxiv:
  - '2405.13567'
  isi:
  - '001454696800003'
  pmid:
  - '39983190'
intvolume: '       134'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2405.13567
month: '02'
oa: 1
oa_version: Preprint
pmid: 1
project:
- _id: 8dd93da8-16d5-11f0-9cad-d2c70200d9a5
  grant_number: FTI23-G-011
  name: Dynamically reconfigurable self-assembly with triangular DNA-origami bricks
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/mxhbl/Roly.jl
scopus_import: '1'
status: public
title: Accessing semiaddressable self-assembly with efficient structure enumeration
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 134
year: '2025'
...
