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Double cohesion has proved to be a useful tool to assemble robust 2D arrays of large tiles. Here we present a variety of examples showing the utility of this approach. We apply this principle to the 3 types of 2D lattice sections of arrays whose individual tiles are inherently 3 dimensional, because they contain three vectors that span 3-space. This application includes motifs which are based on the tensegrity triangle, the six-helix bundle motif and on three skewed triple crossover molecules. All of these designs have the potential to form 3 dimensional structures if all three directions of propagation are allowed. If one direction is blunted, 2D arrays form, and all 3 combinations are presented here. In addition, a large parallelogram array that was not attainable previously using single duplex cohesion was also constructed using double cohesion. For comparison, arrays which use another type of double cohesion, double paranemic (PX) cohesion are also presented. Double cohesion of sticky ends proved to be the more effective tool to assemble large motifs into arrays.

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RESUMEN

We present geometry based design strategies for DNA nanostructures. The strategies have been implemented with GIDEON-a graphical integrated development environment for oligonucleotides. GIDEON has a highly flexible graphical user interface that facilitates the development of simple yet precise models, and the evaluation of strains therein. Models are built on a simple model of undistorted B-DNA double-helical domains. Simple point and click manipulations of the model allow the minimization of strain in the phosphate-backbone linkages between these domains and the identification of any steric clashes that might occur as a result. Detailed analysis of 3D triangles yields clear predictions of the strains associated with triangles of different sizes. We have carried out experiments that confirm that 3D triangles form well only when their geometrical strain is less than 4% deviation from the estimated relaxed structure. Thus geometry-based techniques alone, without detailed energetic considerations, can be used to explain certain general trends in DNA structure formation. We have used GIDEON to build detailed models of double crossover and triple crossover molecules, evaluating the non-planarity associated with base tilt and junction misalignments. Computer modeling using a graphical user interface overcomes the limited precision of physical models for larger systems, and the limited interaction rate associated with earlier, command-line driven software.

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We present a designed cyclic DNA motif that consists of six DNA double helices that are connected to each other at two crossover sites. DNA double helices with 10.5 nucleotide pairs per turn facilitate the programming of DNA double crossover molecules to form hexagonally symmetric arrangements when the crossover points are separated by seven or fourteen nucleotide pairs. We demonstrate by atomic force microscopy well-formed arrays of hexagonal six-helix bundle motifs both in 1D and in 2D.

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RESUMEN

In recent years, the chemistry of DNA has expanded from biological systems to nanotechnology. The generalization of the biological processes of reciprocal exchange leads to stable branched motifs that can be used for the construction of DNA-based geometrical and topological objects, arrays and nanomechanical devices. The information in DNA is the basis of life, but it can also be used to control the physical states of a variety of systems, leading ultimately to nanorobotics; these devices include shape-changing, walking and translating machines. We expect ultimately to be able to use the dynamic information-based architectural properties of nucleic acids to be the basis for advanced materials with applications from nanoelectronics to biomedical devices on the nanometer scale.