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Most species of Keratella possess dome-shaped, dorsal plates comprising a network of polyhedral units (facets), delineated by slightly raised ridges. The arrangement of facets define a species’ facet pattern (FP), with the resulting structure resembling a geodesic dome. Researchers have sorted species into categories based on their FPs, but those have not been analyzed. Additionally, while a strong lorica has been suggested to protect Keratella from predatory attack or other actions causing blunt force trauma (BFT), we know little of how that occurs. Thus, in our study we tested two hypotheses. (1) There is support for categorizing Keratella species into unique groupings based on their FPs. (2) FPs provide resistance to physical stresses. To test that hypothesis we used the structural analysis software SkyCiv©. Our results indicate support for four FP categories. Additionally, the SkyCiv analysis provided preliminary ‘proof-of-concept’ that Keratella FPs have a functional significance: i.e., adding or subtracting facets in our model was followed by a change in predicted structural reliability. We posit that FPs are adaptations protecting Keratella from fractures to the lorica that may result from BFT incurred during predatory attack by copepods or while caught within the branchial chambers of daphnids.

The Brazilian standard ABNT NBR 15575, launched in 2013 and revised in 2021, is an important regulatory framework that establishes specific guidelines for the performance of residential buildings in Brazil. Divided into six parts, it addresses aspects such as structural safety, habitability, and sustainability. This study focuses particularly on one aspect of habitability: thermal performance. The objective of this work is to propose an innovative preliminary design for social housing in the form of a wooden geodesic dome and to analyze the thermal performance of its envelope. This architectural model is especially relevant in the context of the Brazilian government's Minha Casa Minha Vida Program, which seeks to mitigate the current housing deficit estimated at around 6 million units. The choice of the geodesic dome is due to its promise of offering a compact and structurally efficient architectural solution, while allowing the use of low-impact materials such as wood. The proposed geodesic structure meets the thermal performance criteria outlined by ABNT NBR 15575:2021 and also highlights the creation of healthy and comfortable environments, necessary in social housing scenarios. Methodologically, the study adopts a case study approach, evaluating in detail the performance of the proposed structure. The study not only validates the viability of this model in the Brazilian housing scenario, but also suggests future directions for the implementation of sustainable, diversified and innovative housing solutions that respond to contemporary housing needs.

The paper presents the response of two geodesic domes under seismic excitations. The structures subjected to seismic analysis were created by two different methods of subdividing spherical triangles (the original octahedron face), as proposed by Fuliński. These structures are characterised by the similar number of elements. The structures are made of steel, which is a material that undoubtedly gives lightness to structures and allows large spans. Designing steel domes is currently a challenge for constructors, as well as architects, who take into account their aesthetic considerations. The analysis was carried out using the finite element method of the numerical program. The two designed domes were analysed using four different seismic excitations. The analysis shows what influence particular earthquakes have on the geodesic dome structures by two different methods. The study analysed the maximum displacements, axial forces, velocities, and accelerations of the designed domes. In addition, the Time History method was used for the analysis, which enabled the analysis of the structure in the time domain. The study will be helpful in designing new structures in seismic areas and in assessing the strength of various geodesic dome structures under seismic excitation.

The word tensegrity results from the contraction of 'tensional' and 'integrity', a word created by Richard Buckminster Fuller.He went on to describe tensegrity structures as 'islands of compression in an ocean of tension', and René Motro has developed a comprehensive definition which is 'systems in a stable self equilibriated system comprising a.

The Caspar–Klug (CK) classification of viruses is discussed by parallel examination of geometry of icosahedral geodesic domes, fullerenes, and viruses. The underlying symmetry of all structures is explained and thoroughly visually represented. Euler’s theorem on polyhedra is used to calculate the number of vertices, edges, and faces in domes, number of atoms, bonds, and pentagonal and hexagonal rings in fullerenes, and number of proteins and protein–protein contacts in viruses. The T-number, the characteristic for the CK classification, is defined and discussed. The superposition of fullerene and dome designs is used to obtain a representation of a CK virus with all the proteins indicated. Some modifications of the CK classifications are sketched, including elongation of the CK blueprint, fusion of two CK blueprints, dodecahedral view of the CK shapes, and generalized CK designs without a clearly visible geometry of the icosahedron. These are compared to cases of existing viruses.

This paper presents the problem of the efficient shaping of spherical structures of geodesic domes, which is the basis for creating a regular octahedron, in the aspect of sustainable development. The proposed two methods of shaping covered by this study differ in the way the dividing points of the initial edges of the regular octahedron are connected, and, therefore, in the way the sphere is shaped. Using different methods, two families of domes with different lengths of struts but with a similar number of them were obtained. The conducted comparative analysis leads to the indication of this method of shaping the topology, thanks to which it is possible to obtain structures with less consumption of construction material, and, consequently, with less weight. Both the geometry and weight indicate the advantages of geodesic domes created using the first subdivision method. The selection of the appropriate method of shaping geodesic domes is a consequence of a sustainable design strategy. The presented structures in the form of geodesic domes, the basis of which is a regular octahedron, can be original, innovative coverings, while the detailed analysis carried out is intended to provide design guidelines that will facilitate both architects and designers.

The paper presents the determination of the impact of earthquakes of varying intensity on the structure of geodesic domes. The structures of the analyzed domes were designed on the basis of the regular octahedron according to two different methods of creating their topology. The use of four seismic records of different intensity and duration of the record made it possible to subject 8 models to numerical analysis. The designed spatial structures are domes with a steel cross-section, thanks to which they are undoubtedly characterized by their lightness and the possibility of covering very large areas, without the need to use internal supports. Designing steel domes is currently a challenge for constructors, as well as architect, who take into account their aesthetic considerations. The paper presents the seismic response of geodesic domes in applied different directions (two horizontal “X” and “Y” and one vertical “Z”), using the Time History method. The values of forced vibrations and recording intensity were shown, and on this basis, an attempt was made to determine which seismic record may be more unfavorable for the designed geodesic domes created according to two different methods of shaping the topology of their structures. For this purpose, the FFT (Fast Fourier Transform) method was used. The maximum accelerations and displacements of the structures were also analyzed. The conducted analysis shows the influence of seismic excitations on geodetic dome structures, depending on the applied method (method 1 and 2) of shaping their topology. This paper will undoubtedly be useful in designing a geodesic dome structure in a seismic area. In addition, this analysis can be helpful in assessing the effects of an incidental earthquake.

Spherical structures have been used by mankind since time immemorial in religious and public buildings, as well as in engineering structures. With the development of lightweight design and construction, non-standard architectural and planning solutions are used. More and more frequently they are being successfully implemented in private home projects and becoming a fact of everyday life. This may be explained by certain advantages of the form, as well as by the opportunities offered to the construction industry by the age of new materials and technologies for the works performance. The functional and architectural-structural design of round-shaped buildings in the form of geodesic domes will allow creating comfortable, cost-effective, energy-efficient and environmentally expedient conditions for human habitation taking into account the shortage of land areas and increased demand for alternative housing options due to the environmental situation around the world. This article analyzes the experience of building spherical buildings of different types and scales. The authors present the results of research carried out in the field of the geodesic dome design improvement with the use of wood and polymer materials.

The analysis and modeling of unconventional thermal zones is a first step for the inclusion of low-cost spaces and for the assessment of the environmental impact among areas of human use in warm climates. In this paper, the heat transfer in a geodesic dome located at the University of Magdalena (Colombia) is modeled and simulated. The simulator is calibrated against experimental measurements and used to study the effect of different loads which are regulated by a controller in sliding modes explicitly designed for this case. The closed-loop system is used together with ASHRAE Standard 55 to characterize comfort conditions within the dome and the effect on the overall thermal sensation with increasing the number of occupants.

The results are presented from a study of three-layer geodesic dome structures with bar fillers under their own weight. An algorithm was developed for selecting the type of structural layout used and the reference parameters chosen in terms of the technological, strength, and weight characteristics. The results of this analysis aim to make it easier for designers to determine the optimal reference parameters in the initial stage of the designing of geodetic hemispherical dome structures, the construction of which is planned to be carried out in remote areas with harsh climatic conditions. Due to the lack of sufficient ground transport infrastructure, cargo delivery to these regions is currently possible only with the help of air transport. The importance of this study rests on the lack of adequate methods for the determination of the reference parameters for geodesic hemispherical dome structures at an early stage of design. In particular, it is common for the issues regarding the transportation of structural elements as well as those that involve ensuring the strength and the technological characteristics of the structure to not be considered simultaneously. This study owes its relevance to the rapid development of the uninhabited territories of the Russian Federation in the context of the global ecological crisis caused by anthropogenic impact on the environment.