scholarly journals Constructing Rigid-Foldable Generalized Miura-Ori Tessellations for Curved Surfaces

2020 ◽  
Vol 13 (1) ◽  
Author(s):  
Yucai Hu ◽  
Yexin Zhou ◽  
Haiyi Liang

Abstract Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when partially folded. Based on constrained optimization, this article presents the construction of generalized Miura-ori patterns that can approximate three-dimensional parametric surfaces of varying curvatures while preserving the inherent properties of the standard Miura-ori, including developability, flat foldability, and rigid foldability. An initial configuration is constructed by tiling the target surface with triangulated Miura-like unit cells and used as the initial guess for the optimization. For approximation of a single target surface, a portion of the vertexes on the one side is attached to the target surface; for fitting of two target surfaces, a portion of vertexes on the other side is also attached to the second target surface. The parametric coordinates are adopted as the unknown variables for the vertexes on the target surfaces, while the Cartesian coordinates are the unknowns for the other vertexes. The constructed generalized Miura-ori tessellations can be rigidly folded from the flat state to the target state with a single degree-of-freedom.

2021 ◽  
Vol 7 (1) ◽  
pp. 519-539
Author(s):  
Thiago Minete Cardozo ◽  
Costas Papadopoulos

Abstract Museums have been increasingly investing in their digital presence. This became more pressing during the COVID-19 pandemic since heritage institutions had, on the one hand, to temporarily close their doors to visitors while, on the other, find ways to communicate their collections to the public. Virtual tours, revamped websites, and 3D models of cultural artefacts were only a few of the means that museums devised to create alternative ways of digital engagement and counteract the physical and social distancing measures. Although 3D models and collections provide novel ways to interact, visualise, and comprehend the materiality and sensoriality of physical objects, their mediation in digital forms misses essential elements that contribute to (virtual) visitor/user experience. This article explores three-dimensional digitisations of museum artefacts, particularly problematising their aura and authenticity in comparison to their physical counterparts. Building on several studies that have problematised these two concepts, this article establishes an exploratory framework aimed at evaluating the experience of aura and authenticity in 3D digitisations. This exploration allowed us to conclude that even though some aspects of aura and authenticity are intrinsically related to the physicality and materiality of the original, 3D models can still manifest aura and authenticity, as long as a series of parameters, including multimodal contextualisation, interactivity, and affective experiences are facilitated.


2020 ◽  
Vol 7 (2) ◽  
pp. 411-430
Author(s):  
Maja Tabea Jerrentrup

Abstract The art of bodypainting that is fairly unknown to a wider public turns the body into a canvas - it is a frequently used phrase in the field of bodypainting that illustrates the challenge it faces: it uses a three-dimensional surface and has to cope with its irregularities, but also with the model’s abilities and characteristics. This paper looks at individuals who are turned into art by bodypainting. Although body painting can be very challenging for them - they have to expose their bodies and to stand still for a long time while getting transformed - models report that they enjoy both the process and the result, even if they are not confident about their own bodies. Among the reasons there are physical aspects like the sensual enjoyment, but also the feeling of being part of something artistic. This is enhanced and preserved through double staging - becoming a threedimentional work of art and then being staged for photography or film clips. This process gives the model the chance to experience their own body in a detached way. On the one hand, bodypainting closely relates to the body and on the other hand, it can help to over-come the body.


2006 ◽  
Vol 24 (1) ◽  
pp. 407-414 ◽  
Author(s):  
S. Simon ◽  
T. Bagdonat ◽  
U. Motschmann ◽  
K.-H. Glassmeier

Abstract. The interaction of a magnetized asteroid with the solar wind is studied by using a three-dimensional hybrid simulation code (fluid electrons, kinetic ions). When the obstacle's intrinsic magnetic moment is sufficiently strong, the interaction region develops signs of magnetospheric structures. On the one hand, an area from which the solar wind is excluded forms downstream of the obstacle. On the other hand, the interaction region is surrounded by a boundary layer which indicates the presence of a bow shock. By analyzing the trajectories of individual ions, it is demonstrated that kinetic effects have global consequences for the structure of the interaction region.


Author(s):  
Giuseppe De Riso

The aim of this paper is to discuss the acted or performed dimension through which Western warfare videogames are employed in the creation of culturally divided identities. During the interaction, affects and emotions are channelled in order to shape subjects acritically embracing Western values, while also driving a larger process of construction of a generic Muslim enemy. On the one hand, Middle-Eastern subjects work as agents of a polarizing process which prompts users’ aggressive reaction; on the other, whole Middle-Eastern cities and regions are being re-created as three-dimensional spaces, and then digitally stored to expand huge terrestrial and cultural databases. These function on two levels: first, as virtual training grounds for prospective soldiers, and secondly as affective maps providing cultural coordinates as to how Muslim territory is to be felt and, consequently, lived.


2019 ◽  
Vol 75 (9) ◽  
pp. 1243-1249
Author(s):  
Jun Zhang ◽  
Xiaofan Ma ◽  
Weili Kong ◽  
Fazhi Xie ◽  
Shizhen Yuan ◽  
...  

The sulfur coordination polymer catena-poly[zinc(II)-μ2-bis[5-(methylsulfanyl)-2-sulfanylidene-2,3-dihydro-1,3,4-thiadiazol-3-ido-κ2 N 3:S]], [Zn(C3H3N2S3)2] n or [Zn2MTT4] n , constructed from Zn2+ ions and 5-methylsulfanyl-1,3,4-thiadiazole-2-thione (HMTT), was synthesized successfully and structurally characterized. [Zn2MTT4] n crystallizes in the tetragonal space group I\overline{4} (No. 82). Each MTT− ligand (systematic name: 5-methylsulfanyl-2-sulfanylidene-2,3-dihydro-1,3,4-thiadiazol-3-ide) coordinates to two different ZnII ions, one via the thione group and the other via a ring N atom, with one ZnII atom being in a tetrahedral ZnS4 and the other in a tetrahedral ZnN4 coordination environment. These tetrahedral ZnS4 and ZnN4 units are alternately linked by the organic ligands, forming a one-dimensional chain structure along the c axis. The one-dimensional chains are further linked via C—H...N and C—H...S hydrogen bonds to form a three-dimensional network adopting an ABAB-style arrangement that lies along both the a and b axes. The three-dimensional Hirshfeld surface analysis and two-dimensional (2D) fingerprint plots confirm the major interactions as C—H...S hydrogen bonds with a total of 35.1%, while 7.4% are C—H...N hydrogen-bond interactions. [Zn2MTT4] n possesses high thermal and chemical stability and a linear temperature dependence of the bandgap from room temperature to 270 °C. Further investigation revealed that the bandgap changes sharply in ammonia, but only fluctuates slightly in other solvents, indicating its promising application as a selective sensor.


1981 ◽  
Vol 36 (8) ◽  
pp. 989-996 ◽  
Author(s):  
L. Horner ◽  
E. Pliefke

Abstract The analysis of the protective coating produced during the corrosion of copper in the presence of 2-aminopyrimidine (2-AP) is consistent with the composition [Cu1+-2-AP-Cl]n. The individual units form a three-dimensional macro-structure via chloride bridging and hydrogen bonding. The assignment of the structure was supported by NMR, IR, UV and magnetic susceptibüity measurements and an X-ray investigation using the Debye- Scherrer powder method. The thermal behaviour of the coating was studied by massspectral and DTA (differential thermal analysis) methods. Radiochemical experiments were carried out using active copper samples (i.e. containing 64Cu), or using added 64CuCl and 64CuCl2 in the corrosion of non-active copper both in the presence and absence of added 2-AP. The results elucidate the exchange reactions at the copper surface between dissolved and metallic components. The equilibrium between Cu2+ and metallic copper on the one hand and 2 Cu1+ ions on the other is central to the problem, as is also the dissociation of the [Cu1+-2-AP-Cl]n complex. The concepts here developed were confirmed by studies of the autoxidation of CuCl and CuO in the presence and absence of 2-AP.


Author(s):  
Luciano Telesca ◽  
Michele Lovallo

The one-, two- and three-dimensional multifractal detrended fluctuation analysis (MF-DFA) was applied to Bach's Sinfonias, which are characterized by the superposition of three different voices. Each voice, represented as a time series, can be considered as a component of a one-, two- or three-dimensional vector. The one-dimensional MF-DFA was applied to any single voice, while the two- and three-dimensional MF-DFA was applied to the couples of voices and to the triple, respectively. Each voice is characterized by a multifractal degree (MD), indicated by the range of the generalized Hurst exponents; the higher the MD, the larger the amount of heterogeneity and irregularity. Competitive scaling multifractal behaviours in Bach's Sinfonias were revealed; although one (or two) voices showed a relatively high MD, the other two voices, or voice, are characterized by a low MD. Nevertheless, the overall effect of the Sinfonia, measured by the MD of the triple, tends towards homogeneity, or at least to an average between the different competitive scaling behaviour shown by the different voices.


1985 ◽  
Vol 50 ◽  
Author(s):  
J. M. Hoorelbeke ◽  
M. Dourthe

AbstractThe construction of a H.L.W. repository in a deep granitic formation creates mechanical disturbances in the rock on the scale of the massif and in the nearfield. Amongst all the disturbances noted in the nearfield, this study is concerned with examining the evolution of stresses linked with the excavation of the rock and the rise in temperature in the proximity of the waste packages. Several linear elasticity calculations were made using on the one hand finite element models and on the other simple analytical models. These calculations concern two different storage concepts -“in room” concept and “in floor” concept- whose differences in mechanical behaviour are analysed. A study of sensitivity with regard to the characteristics of the rock and to the initial geostatic stresses is presented. The comparison of the calculated stresses with three-dimensional failure criteria gives a clear indication of the satisfactory behaviour of granite for final storage. However, the need for experimental study and complementary calculation must be emphasised.


1999 ◽  
Vol 55 (4) ◽  
pp. 573-590 ◽  
Author(s):  
George Ferguson ◽  
Christopher Glidewell ◽  
Richard M. Gregson ◽  
Emma S. Lavender

The structures of six hydrogen-bonded adducts of 4,4′-sulfonyldiphenol with heteroaromatic amines have been determined. In 4,4′-sulfonyldiphenol–pyrazine (2/1) the pyrazine molecules lie across centres of inversion. The bisphenol molecules are linked into C(8) chains parallel to [100] by means of O—H...O=S hydrogen bonds, and antiparallel pairs of these chains are cross-linked by the pyrazine molecules, via O—H...N hydrogen bonds, to form molecular ladders containing R_6^6(50) rings between the rungs of the ladders. Each ladder is interwoven with two neighbouring ladders, thus producing a continuous two-dimensional sheet. The structure of 4,4′-sulfonyldiphenol–4,4′-bipyridyl (1/1) consists of spiral C_2^2(21) chains parallel to [010] containing alternating bisphenol and bipyridyl molecules linked by O—H...N hydrogen bonds: these chains are linked by two types of C—H...O hydrogen bonds which form C(5) chains along [001] and C_2^2(10) chains along [101], thus generating two interconnected nets characterized in the one case by a chequerboard pattern of R_6^6(44) and R_6^6(52) rings, and in the other by a single type of R_6^6(46) ring. 4,4′-Sulfonyldiphenol–trans-1,2-bis(4-pyridyl)ethene (1/1) [systematic name: 4,4′-sulfonyldiphenol–trans-4,4′-vinylenedipyridine (1/1)] and 4,4′-sulfonyldiphenol–1,2-bis(4-pyridyl)ethane (1/1) [systematic name: 4,4′-sulfonyldiphenol–trans-4,4′-ethylenedipyridine (1/1)] are isomorphous: the 1,2-bis(4-pyridyl)ethene component exhibits orientational disorder, corresponding approximately to a 180° rotation of ca 23% of the molecules about the N...N vector; in each compound the structure is built from C_2^2(23) chains of alternating bisphenol and bis(pyridyl) molecules connected by O—H...N hydrogen bonds, running parallel to [112] and generated by translation. The [112] chains are linked by C—H...O hydrogen bonds which generate C_2^2(12) chains parallel to [101], so forming a two-dimensional net built from R_6^6(50) rings. The structure of 4,4′-sulfonyldiphenol–4,4′-trimethylenedipyridine (1/1) consists of C_2^2(24) chains parallel to [100] generated by translation and consisting of alternating bisphenol and bis(pyridyl) molecules linked by O—H...N hydrogen bonds. Pairs of such chains are coiled together to form double helices, and pairs of such double helices, of opposite hand, are linked together by paired C—H...O hydrogen bonds in R_2^2(10) rings to form pairs of interwoven ladders in which the C_2^2(24) chains form the uprights and the R_2^2(10) rings form the rungs, between which are R_6^6(50) rings: an R_2^2(10) ring belonging to one ladder lies at the centre of an R_6^6(50) ring belonging to the other. 4,4′-Sulfonyldiphenol–4,4′-trimethylenedipiperidine–water (2/2/1) is a salt, 2C13H27N_2^+·2C12H9O4S−·H2O, containing two independent singly protonated diamine cations, two independent bisphenolate anions, and neutral water molecules. The two independent diamine cations are linked by N—H...N hydrogen bonds into C_2^2(24) chains running parallel to [001] and generated by translation, and each type of bisphenolate anion forms an independent spiral C(12) chain, also parallel to [001]. The three types of chain are linked by the water molecules: the two types of bisphenolate chain are linked by water molecules acting as double donors in O—H...O− hydrogen bonds in a C_6^4(32) chain parallel to [100], thus generating a two-dimensional net built from R_8^6(56) rings; the diamine chains are linked to these nets by means of N—H...O hydrogen bonds in which the water molecules act as acceptors and further hydrogen bonds, of N—H...O− and N—H...O=S types, link these two-dimensional nets into a continuous three-dimensional framework.


1983 ◽  
Vol 13 (1) ◽  
pp. 33-55 ◽  
Author(s):  
Alan G. Gross

Tables and figures arc an integral part of the medium of communication of science and technology. An analysis of tables and figures, relying heavily on Euclidean terms (point, line and plane) explains something of their power–their ability to display with clarity large amounts of data, complex data relationships, and intricate three-dimensional configurations. Analysis also clarifies the mutual dependence of tables and figures and their accompanying texts. Additionally, analysis makes clear the semantic gap between tables and graphs, on the one hand, and illustrations, on the other. All are equally vital strategies in scientific and technical discourse. However, tables and graphs are paralinguistic extensions of scientific and technical dialects; illustrations, on the other hand, are a nonlinguistic supplement to these dialects. Finally, analysis provides clues for the teaching of proper graphic choice, good graphic ‘grammar,’ and the appropriate contextualization of graphs.


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