On the effects of hierarchical self-assembly for reducing program-size complexity
In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular,...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cannon, Sarah [verfasserIn] Demaine, Erik D. [verfasserIn] Demaine, Martin L. [verfasserIn] Eisenstat, Sarah [verfasserIn] Furcy, David [verfasserIn] Patitz, Matthew J. [verfasserIn] Schweller, Robert [verfasserIn] Summers, Scott M. [verfasserIn] Winslow, Andrew [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical computer science - Amsterdam [u.a.] : Elsevier, 1975, 894, Seite 50-78 |
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| Übergeordnetes Werk: |
volume:894 ; pages:50-78 |
| DOI / URN: |
10.1016/j.tcs.2021.09.011 |
|---|
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ELV00687794X |
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| 245 | 1 | 0 | |a On the effects of hierarchical self-assembly for reducing program-size complexity |
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| 520 | |a In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. | ||
| 650 | 4 | |a Algorithmic self-assembly | |
| 650 | 4 | |a Abstract tile assembly model | |
| 650 | 4 | |a Hierarchical self-assembly | |
| 700 | 1 | |a Demaine, Erik D. |e verfasserin |4 aut | |
| 700 | 1 | |a Demaine, Martin L. |e verfasserin |4 aut | |
| 700 | 1 | |a Eisenstat, Sarah |e verfasserin |4 aut | |
| 700 | 1 | |a Furcy, David |e verfasserin |4 aut | |
| 700 | 1 | |a Patitz, Matthew J. |e verfasserin |0 (orcid)0000-0001-9287-4028 |4 aut | |
| 700 | 1 | |a Schweller, Robert |e verfasserin |4 aut | |
| 700 | 1 | |a Summers, Scott M. |e verfasserin |4 aut | |
| 700 | 1 | |a Winslow, Andrew |e verfasserin |4 aut | |
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10.1016/j.tcs.2021.09.011 doi (DE-627)ELV00687794X (ELSEVIER)S0304-3975(21)00532-6 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Cannon, Sarah verfasserin aut On the effects of hierarchical self-assembly for reducing program-size complexity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. Algorithmic self-assembly Abstract tile assembly model Hierarchical self-assembly Demaine, Erik D. verfasserin aut Demaine, Martin L. verfasserin aut Eisenstat, Sarah verfasserin aut Furcy, David verfasserin aut Patitz, Matthew J. verfasserin (orcid)0000-0001-9287-4028 aut Schweller, Robert verfasserin aut Summers, Scott M. verfasserin aut Winslow, Andrew verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 894, Seite 50-78 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:894 pages:50-78 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 894 50-78 |
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10.1016/j.tcs.2021.09.011 doi (DE-627)ELV00687794X (ELSEVIER)S0304-3975(21)00532-6 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Cannon, Sarah verfasserin aut On the effects of hierarchical self-assembly for reducing program-size complexity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. Algorithmic self-assembly Abstract tile assembly model Hierarchical self-assembly Demaine, Erik D. verfasserin aut Demaine, Martin L. verfasserin aut Eisenstat, Sarah verfasserin aut Furcy, David verfasserin aut Patitz, Matthew J. verfasserin (orcid)0000-0001-9287-4028 aut Schweller, Robert verfasserin aut Summers, Scott M. verfasserin aut Winslow, Andrew verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 894, Seite 50-78 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:894 pages:50-78 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 894 50-78 |
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10.1016/j.tcs.2021.09.011 doi (DE-627)ELV00687794X (ELSEVIER)S0304-3975(21)00532-6 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Cannon, Sarah verfasserin aut On the effects of hierarchical self-assembly for reducing program-size complexity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. Algorithmic self-assembly Abstract tile assembly model Hierarchical self-assembly Demaine, Erik D. verfasserin aut Demaine, Martin L. verfasserin aut Eisenstat, Sarah verfasserin aut Furcy, David verfasserin aut Patitz, Matthew J. verfasserin (orcid)0000-0001-9287-4028 aut Schweller, Robert verfasserin aut Summers, Scott M. verfasserin aut Winslow, Andrew verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 894, Seite 50-78 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:894 pages:50-78 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 894 50-78 |
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10.1016/j.tcs.2021.09.011 doi (DE-627)ELV00687794X (ELSEVIER)S0304-3975(21)00532-6 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Cannon, Sarah verfasserin aut On the effects of hierarchical self-assembly for reducing program-size complexity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. Algorithmic self-assembly Abstract tile assembly model Hierarchical self-assembly Demaine, Erik D. verfasserin aut Demaine, Martin L. verfasserin aut Eisenstat, Sarah verfasserin aut Furcy, David verfasserin aut Patitz, Matthew J. verfasserin (orcid)0000-0001-9287-4028 aut Schweller, Robert verfasserin aut Summers, Scott M. verfasserin aut Winslow, Andrew verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 894, Seite 50-78 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:894 pages:50-78 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 894 50-78 |
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10.1016/j.tcs.2021.09.011 doi (DE-627)ELV00687794X (ELSEVIER)S0304-3975(21)00532-6 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Cannon, Sarah verfasserin aut On the effects of hierarchical self-assembly for reducing program-size complexity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. Algorithmic self-assembly Abstract tile assembly model Hierarchical self-assembly Demaine, Erik D. verfasserin aut Demaine, Martin L. verfasserin aut Eisenstat, Sarah verfasserin aut Furcy, David verfasserin aut Patitz, Matthew J. verfasserin (orcid)0000-0001-9287-4028 aut Schweller, Robert verfasserin aut Summers, Scott M. verfasserin aut Winslow, Andrew verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 894, Seite 50-78 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:894 pages:50-78 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 894 50-78 |
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004 DE-600 54.10 bkl On the effects of hierarchical self-assembly for reducing program-size complexity Algorithmic self-assembly Abstract tile assembly model Hierarchical self-assembly |
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ddc 004 bkl 54.10 misc Algorithmic self-assembly misc Abstract tile assembly model misc Hierarchical self-assembly |
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ddc 004 bkl 54.10 misc Algorithmic self-assembly misc Abstract tile assembly model misc Hierarchical self-assembly |
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On the effects of hierarchical self-assembly for reducing program-size complexity |
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Cannon, Sarah Demaine, Erik D. Demaine, Martin L. Eisenstat, Sarah Furcy, David Patitz, Matthew J. Schweller, Robert Summers, Scott M. Winslow, Andrew |
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on the effects of hierarchical self-assembly for reducing program-size complexity |
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On the effects of hierarchical self-assembly for reducing program-size complexity |
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In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. |
| abstractGer |
In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. |
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In this paper we present a series of results which show separations between the standard seeded model of self-assembly, Winfree's abstract Tile Assembly Model (aTAM), and the “seedless” 2-Handed Assembly Model (2HAM), which incorporates the dynamics of hierarchical self-assembly. In particular, we focus on the problem of self-assembling various shapes while minimizing the sizes of tile sets, or “programs”, in each of these models in order to compare and contrast the models. A high-level overview of a subset of these results was presented in a paper by the authors in STACS 2013, but in this version we expand and improve the set of results related to showing separations between the two models according to their abilities to self-assemble various shapes. We exhibit classes of finite shapes that can be self-assembled more efficiently in each model. We also demonstrate infinite shapes that can self-assemble in one model but not in the other, as well as a shape which cannot self-assemble in either model. |
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On the effects of hierarchical self-assembly for reducing program-size complexity |
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Demaine, Erik D. Demaine, Martin L. Eisenstat, Sarah Furcy, David Patitz, Matthew J. Schweller, Robert Summers, Scott M. Winslow, Andrew |
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