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"Geometry in architecture."
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Geometric Traces: from Historical Interpretations to Complex Constructions
This letter from the editor introduces Vol. 26(2) of the
Nexus Network Journal: Architecture and Mathematics
. The research in this issue addresses two broad themes: the interpretation of historic buildings, ornamentation and materials, and the construction of complex, curvilinear architectural forms. The methods used in this issue range from archaeological surveys and ballistics studies to computational approaches, such as parametric modelling and machine learning. The common thread connecting the work is how geometric properties, some hidden, others more overt, can be used to create new architectural knowledge and applications. Chronologically, the research topics in this issue span from the more than 2000-year-old tombs of the Nabataean Necropolis to contemporary computer-controlled construction processes.
Journal Article
Geometric Taxonomy
Geometric Taxonomy gets closer to the geometries of Carlos Ferrater and OAB that are present in timeless architecture, those that are explicit in the great treatises, those that dazzled us with \"the correct and magnificent wise play of forms under the light\", the elemental forms that inspired modernity a hundred years ago.
eBook
3D thinking in design and architecture : from antiquity to the future
The geometric foundations, forms, and patterns in today?s architecture, design and, decorative arts can trace their origins in past cultures. From humankind?s first path-like doodles on cave walls through to the higher abstractions developed to make accurate measurements and predictions, the three-dimensional forms we design and build have always been dependent on available materials, human needs, and the limits of our imaginations.00'3D Thinking in Design and Architecture' tells the story of the intimate relationship between geometry, mathematics and man-made design throughout human history, from the Neolithic period through the Indian, Egyptian, Babylonian, Chinese, Greek, Celtic, Islamic and Renaissance cultures, to the present and the possible future. Presenting key principles that can be applied across all design disciplines, design expert Roger Burrows relates how geometry as a visual language has evolved to meet our needs, initiated new technologies, and changed the way we think about the world around us. With a wealth of original artwork by the author to explain his ideas, this book will be an essential reference and source of inspiration for students and design professionals.
Book
Fractal architecture : organic design philosophy in theory and practice
Throughout history, nature has served as an inspiration for architecture and designers have tried to incorporate the harmonies and patterns of nature into architectural form. Alberti, Charles Renee Macintosh, Frank Lloyd Wright, and Le Courbusier are just a few of the well- known figures who have taken this approach and written on this theme. With the development of fractal geometry--the study of intricate and interesting self- similar mathematical patterns--in the last part of the twentieth century, the quest to replicate nature’s creative code took a stunning new turn. Using computers, it is now possible to model and create the organic, self-similar forms of nature in a way never previously realized.
In Fractal Architecture , architect James Harris presents a definitive, lavishly illustrated guide that explains both the “how” and “why” of incorporating fractal geometry into architectural design.
eBook
A Transmission-Type High-Efficiency Chiral Filter with Three Discrete Wavelength Responses Based on Oracle Bone Structure Metasurfaces
Conventional chiral metasurfaces are typically restricted to a single resonant wavelength, which limits their ability to satisfy the requirements of broadband detection and multi-channel polarization manipulation. To overcome this limitation, this study numerically proposes a chiral metasurface based on an oracle-bone-inspired geometry. By combining dislocation with rotational symmetry breaking, the proposed structure enables pronounced circular dichroism responses at three wavelengths in the long-wave infrared region, reaching 0.68@λ1 = 10.43 μm, 0.79@λ2 = 10.8 μm, and 0.6@λ3 = 10.9 μm. This design overcomes the single-wavelength limitation of conventional chiral metasurfaces and establishes a new paradigm for multi-wavelength chiral light-field manipulation. This research not only broadens the design scope of chiral photonics, but also provides a promising technical path for the development of highly integrated infrared polarization devices and multi-wavelength chiral sensing systems.
Journal Article
Tectono-stratigraphic evolution of an inverted extensional basin: the Cameros Basin (north of Spain)
The Cameros Basin is a part of the Mesozoic Iberian Rift. It is an extensional basin formed during the late Jurassic and early Cretaceous, in the Mesozoic Iberian Rift context, and it was inverted in the Cenozoic as a result of the Alpine contraction. This work aims to reconstruct the tectono-stratigraphic evolution of the basin during the Mesozoic, using new and revised field, geophysical and subsurface data. The construction of a basin-wide balanced section with partial restorations herein offers new insights into the geometry of the syn-rift deposits. Field data, seismic lines and oil well data were used to identify the main structures of the basin and the basin-forming mechanisms. Mapping and cross-sectional data indicate the marked thickness variation of the depositional sequences across the basin, suggesting that the extension of the depositional area varied during the syn-rift stage and that the depocentres migrated towards the north. From field observation and seismic line interpretation, an onlap of the depositional sequences to the north, over the marine Jurassic substratum, can be deduced. In the last few decades, the structure and geometry of the basin have been strongly debated. The structure and geometry of the basin infill reconstructed herein strongly support the interpretation of the Cameros Basin as an extensional-ramp synclinal basin formed on a blind south-dipping extensional ramp. The gradual hanging-wall displacement to the south shifted the depocentres to the north over time, thus increasing the basin in size northwards, with onlap geometry on the pre-rift substratum. The basin was inverted by means of a main thrust located in a detachment located in the Upper Triassic beds (Keuper), which branched in depth with the Mesozoic extensional fault flat. The reconstruction of the tectono-stratigraphic evolution of the Cameros Basin proposed herein represents a synthesis and an integration of previous studies of the structure and geometry of the basin. This study can be used as the basis for future basin-scale research and for modelling the ancient petroleum system of the basin.
Journal Article