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Relevant bibliographies by topics / Spiral

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Academic literature on the topic 'Spiral'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Spiral"

1

Pan, Hongjun. "Introduction of New Spiral Formulas from ROTASE Model and Application to Natural Spiral Objects." Academic Journal of Applied Mathematical Sciences, no. 72 (February 5, 2021): 66–76. http://dx.doi.org/10.32861/ajams.72.66.76.

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A new set of spiral formulas is introduced as a new member of the spiral formulas’ family, people with interest in mathematics and natural spirals may use the new spiral formulas to simulate natural spiral objects or generate their own spirals. The new formulas are derived from a proposed new hypothesis called Rotating Two Arm Sprinkler Emission model (ROTASE) for the formation of spiral galaxies. In this paper, the derivation of the new spiral formulas is illustrated with boats moving across a circular river from central round island. The formulas have only one parameter and one variable, the

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Tamura, Kenichi, and Keiichiro Yasuda. "Spiral Dynamics Inspired Optimization." Journal of Advanced Computational Intelligence and Intelligent Informatics 15, no. 8 (2011): 1116–22. http://dx.doi.org/10.20965/jaciii.2011.p1116.

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We recently proposed a new multipoint search method for 2-dimensional continuous optimization problems based on an analogy of spiral phenomena called 2-dimensional spiral optimization. Focused spiral phenomena, which appear frequently in nature, are approximated to logarithmic spirals. Two-dimensional spiral optimization used a feature of logarithmic spirals. In this paper, we proposen-dimensional spiral optimization by extending the 2-dimensional one. The n-dimensional spiral model is constructed based on rotation matrices defined inn-dimensional space. Simulation results for different benchm

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Zhu, Zhaohuan, and Raymond M. Zhang. "A simple time-dependent method for calculating spirals: applications to eccentric planets in protoplanetary discs." Monthly Notices of the Royal Astronomical Society 510, no. 3 (2021): 3986–99. http://dx.doi.org/10.1093/mnras/stab3641.

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ABSTRACT Spirals in protoplanetary discs have been used to locate the potential planet in discs. Since only the spiral shape from a circularly orbiting perturber is known, most previous works assume that the planet is in a circular orbit. We develop a simple semi-analytical method to calculate the shape of the spirals launched by an eccentric planet. We assume that the planet emits wavelets during its orbit, and the wave fronts of these propagating wavelets form the spirals. The resulting spiral shape from this simple method agrees with numerical simulations exceptionally well. The spirals exc

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Bidnichenko, Helen. "FEATURES OF THE GEOMETRY OF SPIRALS AND THEIR NATURAL AND PRACTICAL APPLICATION." APPLIED GEOMETRY AND ENGINEERING GRAPHICS, no. 107 (February 26, 2025): 3–20. https://doi.org/10.32347/0131-579x.2024.107.3-20.

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This work is devoted to the topical issue of geometric modeling of some types of spirals and their practical application in nature and various areas of human activity. A geometric and practical study of Archimedes' spiral and its inversion with respect to the pole - a hyperbolic spiral, as well as Fermat's spiral and its inversion on a circle of unit radius - lituus, was carried out. A mathematical description of spirals is presented and their geometric models are developed: definitions and equations in polar coordinates are provided, graphic formation schemes and algorithms for their construc

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Pan, Hongjun. "Special Spirals are Produced by the ROTASE Galactic Spiral Equations with the Sequential Prime Numbers." Academic Journal of Applied Mathematical Sciences, no. 84 (August 25, 2022): 69–77. http://dx.doi.org/10.32861/ajams.84.69.77.

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In this paper, the sequential prime numbers are used as variables for the galactic spiral equations which were developed from the ROTASE model. Special spiral patterns are produced when prime numbers are treated with the unit of radian. The special spiral patterns produced with the first 1000 prime numbers have 20 spirals arranged in two groups. The two groups have perfect central symmetry with each other and are separated with two spiral gaps. The special spiral pattern produced with natural numbers from 1 to 7919 shows 6 spirals in the central area and 44 spirals in the outer area. The whole

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Broerse, Jack, Peter Dodwell, and Boris Crassini. "Anomalous Spiral Aftereffects: A New Twist to the Perception of Rotating Spirals." Perception 21, no. 2 (1992): 195–99. http://dx.doi.org/10.1068/p210195.

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Stationary spirals viewed after inspecting rotating sectored disks appear to rotate and to expand or contract radially, even though the rotating disks contain no perceptible components of radial motion. Moreover, the relative directions of illusory rotation and radial motion observed in these instances are ‘impossible’ under the stimulus constraints normally imposed by the geometry of a spiral under rotation: the stationary spirals appeared to expand/contract in directions opposite to those normally observed under conditions of actual spiral rotation, and under conditions of illusory spiral ro

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Pişmiş, Paris, and Edmundo Moreno. "Formation of Bi-Polar Spiral Features in Galactic Nuclei." Symposium - International Astronomical Union 134 (1989): 488–89. http://dx.doi.org/10.1017/s0074180900141774.

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In earlier communications we have called attention to the existence of very tight spiral formations in the nuclei of some galaxies, particularly of the early type barred spirals, proposing a mechanism for their formation (Pişmiş and Moreno 1984). These kiloparsec-scale structures are loosely termed “rings” but their overall morphology suggests strongly that the image is a tightly wound double spiral usually delineated by knots of emitting material, “hot-spots”. A striking characteristic of these spirals is their very high luminosity compared to the outer regions of the galaxy. 26 galaxies with

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Fakih, Ali, Frederic Cordier, and Yvan Maillot. "Piecewise Reconstruction of 3D Euler Spirals From Planar Polygonal Curves." International Journal of Computer Science, Engineering and Information Technology 13, no. 5 (2023): 01–19. http://dx.doi.org/10.5121/ijcseit.2023.13501.

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In this article, we propose a method for reconstructing approximate piecewise 3D Euler spirals from planar polygonal curves. The method computes the 3D coordinates of approximate Euler spiral such that its orthogonal projection onto the 2D plane is the closest possible to the input curve. To achieve this, a dataset is created, comprising Euler spiral segments and their orthogonal projections. Given an input curve, it is sampled and split into segments. Each segment is matched with the closest Euler spiral segments from the dataset, forming a pool of candidates. The optimal set of connected Eul

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Zhou, Yuxuan, Yajuan Li, and Chongyang Deng. "G2 Hermite Interpolation by Segmented Spirals." Mathematics 10, no. 24 (2022): 4757. http://dx.doi.org/10.3390/math10244757.

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A curve with single-signed, monotonically increasing or decreasing curvatures is referred to as a planar spiral. G2 Hermite data are spiral G2 Hermite data for which only interpolation by a spiral is possible. In this study, we design segmented spirals to geometrically interpolate arbitrary C-shaped G2 Hermite data. To separate the data into two or three spiral data sets, we add one or two new points, related tangent vectors and curvatures. We provide different approaches in accordance with the various locations of the external homothetic centers of two end-curvature circles. We then match new

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Sturm, J. A., G. P. Rosotti, and C. Dominik. "Dust dynamics in planet-driven spirals." Astronomy & Astrophysics 643 (November 2020): A92. http://dx.doi.org/10.1051/0004-6361/202038919.

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Context. Protoplanetary disks are known to host spiral features that are observed in scattered light, the ALMA continuum, and more recently in CO gas emission and gas dynamics. However, it is unknown whether spirals in gas and dust trace the same morphology. Aims. We aim to study the morphology and amplitude of dusty spirals as function of the Stokes number and the underlying mechanisms that cause a difference between dusty spirals and gas spirals. We then construct a model to relate the deviation from Keplerian rotation in the gas to a perturbation in surface density of the gas and dust. Meth

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Dissertations / Theses on the topic "Spiral"

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Goodyear, David J. "Development of single-point spiral-scan imaging, spiral-SPRITE." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ65489.pdf.

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Tuerk, Tobias. "Mehrschicht-Spiral-Computertomographie." Diss., lmu, 2008. http://nbn-resolving.de/urn:nbn:de:bvb:19-80149.

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Grand, R. J. J. "A numerical study of spiral galaxies and dynamical effects of spiral arms." Thesis, University College London (University of London), 2014. http://discovery.ucl.ac.uk/1433765/.

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We use high-resolution numerical simulations of disc galaxies to study spiral arms and their dynamical influence on nearby stars. We find that in the numerical simulations the spiral arms are winding, transient features whose pattern speeds decrease with radius in such a way that the pattern speed is almost equal to the rotation curve of the galaxy. We validate this for normal and barred-spirals, and demonstrate that there is no significant offset of different star-forming tracers across the spiral arm. We show from the dynamics of nearby star particles that star particles are drawn towards an

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Tylstedt, Sven. "The Human Spiral Ganglion." Doctoral thesis, Umeå University, Clinical Sciences, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-77.

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<p>Our knowledge of the fine structure of the Human Spiral Ganglion (HSG) is still inadequate and new treatment techniques for deafness using electric stimulation, call for further information and studies on the neuronal elements of the human cochlea. This thesis presents results of analyses of human cochlear tissue and specimens obtained during neurosurgical transpetrosal removal of life-threatening meningeomas. The use of surgical biopsies produced a well-preserved material suitable for ultrastructural and immunohistochemical studies on the human inner ear. The SG was studied with respect to

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Azabi, Y. O. "Spiral photonic crystal fibers." Thesis, City, University of London, 2017. http://openaccess.city.ac.uk/19372/.

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This thesis is concerned with the study of special types of photonic crystal fibers (spiral) and their optical properties. The work is carried out using simulation techniques to obtain the modal field profile and properties for the designs. The method used in solving the Maxwell’s equations is the full vectorial finite element method with the implementation of penalty function and perfectly matched layer. The penalty function is used to eliminate nonphysical solutions. The perfectly matched layer is integrated to absorb rays of light traveling away from the core. These rays are absorbed by the

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Kranz, Thilo. "Dark matter in spiral galaxies." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964708000.

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Chu, Haobing. "Is spiral modulation really useful?" Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/60140.

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The performance analysis of modulation techniques has been studied extensively. In this thesis, we investigate the performance of a new modulation technique called spiral modulation. Spiral modulation uses complex spirals in the complex plane to modulate data and form complex signals. Spiral modulation was proposed by Astrapi Corporation and the company claimed that spiral modulation is better than the conventional modulations and can exceed the Shannon limit. In this thesis, we explore the potential of spiral modulation and verify the claims by using MATLAB simulation according to the Astrapi

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Dubé, Frédéric. "Spiral irradiation in stereotactic radiosurgery." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0016/MQ55049.pdf.

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Säll, Harald. "Spiral Grain in Norway Spruce." Doctoral thesis, Växjö universitet, Institutionen för teknik och design, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-538.

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Wood is a major construction material that is used in many contexts, and for different purposes. Serious problems may arise, however, when moisture related deformations as twist occur in wood used in different types of building structures, joinery and furniture. Twist can be explained to a great degree by the helical deviation of the grain angle in relation to the longitudinal direction of the log or the sawn board. Wood fibres form a spiral within the tree, and this is a natural occurrence that is named spiral grain. The wood fibres close to the pith in Norway spruce form a left-handed spiral

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Dubé, Frédéric 1973. "Spiral irradiation in stereotactic radiosurgery." Thesis, McGill University, 1999. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=29884.

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The aim of stereotactic radiosurgery is to deliver a high and uniform radiation dose to the target volume and a minimized dose to the surrounding healthy tissue. Various linac-based radiosurgical techniques are used clinically: multiple non-coplanar converging arcs, dynamic arc rotation, and conical rotation. The techniques differ in their beam distribution over the patient's head.<br>A study of the beam distribution characteristics for the clinical linac-based radiosurgical techniques is presented. Two spiral linac-based radiosurgical techniques are developed: the uniform dose-rate spiral irr

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Books on the topic "Spiral"

1

Magen, Shulamit. Spiral. Deror la-milim, 2014.

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Glynne, Walley, and Suzuki Kōji 1957-, eds. Spiral. Vertical, 2004.

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Denman, K. L. Spiral. Orca Book Publishers, 2008.

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Lindsey, David L. Spiral. Pocket Books, 1988.

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Gordon, Roderick. Spiral. Scholastic Inc., 2012.

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Suzuki, Kp-soji. Spiral. Vertical, c2004., 2004.

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Geary, Joseph. Spiral. Pantheon Books, 2003.

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Suzuki, Kōji. Spiral. HarperCollins, 2009.

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Walser, Hans. Spirals, Helical Lines, and Spiral-Like Figures. Springer Berlin Heidelberg, 2024. http://dx.doi.org/10.1007/978-3-662-68931-8.

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Spiral: Spiral. Pocket, 1990.

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Book chapters on the topic "Spiral"

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Dongarra, Jack, Piotr Luszczek, Felix Wolf, et al. "Spiral." In Encyclopedia of Parallel Computing. Springer US, 2011. http://dx.doi.org/10.1007/978-0-387-09766-4_244.

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Walser, Hans. "The Logarithmic Spiral." In Spirals, Helical Lines, and Spiral-Like Figures. Springer Berlin Heidelberg, 2024. http://dx.doi.org/10.1007/978-3-662-68931-8_2.

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Walser, Hans. "The Archimedean Spiral." In Spirals, Helical Lines, and Spiral-Like Figures. Springer Berlin Heidelberg, 2024. http://dx.doi.org/10.1007/978-3-662-68931-8_3.

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Gal-Or, Sharon. "Spiral Dynamics: Why Spiral? Why Dynamics?" In International Series on Computer, Entertainment and Media Technology. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-83085-3_96.

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Gooch, Jan W. "Spiral Grain." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_11022.

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Gooch, Jan W. "Spiral Yarns." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_11025.

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Hammer, Øyvind. "Spiral Energy." In The Perfect Shape. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47373-4_6.

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Barkley, Dwight. "Spiral Meandering." In Chemical Waves and Patterns. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-1156-0_5.

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Weik, Martin H. "spiral track." In Computer Science and Communications Dictionary. Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_17952.

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Dallon, John, and Hans Othmer. "Guiding Spiral." In The Art of Theoretical Biology. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33471-0_10.

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Conference papers on the topic "Spiral"

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Peng, Wenyu, Tao Xie, and Paul H. Siegel. "Persistent Spiral Storage." In 2024 IEEE 42nd International Conference on Computer Design (ICCD). IEEE, 2024. https://doi.org/10.1109/iccd63220.2024.00046.

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Commisso, Jenna, Michael Folkers, and Thomas Murphey. "Spiral Wrapped Antenna Technology." In 2025 IEEE Aerospace Conference. IEEE, 2025. https://doi.org/10.1109/aero63441.2025.11068670.

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Lorenzo, Carl F., and Tom T. Hartley. "Mathematical Classification of the Spiral and Ring Galaxy Morphologies Based on the Fractional Trigonometry." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46279.

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The ongoing development of the fractional trigonometry has created a new set of spiral functions, the fractional spiral functions. These spirals include both barred and normal spirals in a common formulation. This paper studies the applicability of the fractional spirals to the mathematical classification of spiral and ring galaxy morphologies. The fractional spirals are found to provide a high quality fit to a variety of ring and spiral galaxies over a significant range of the spiral length. Further, the r–s character of the de Vaucouleurs classification is found to relate to particular param

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Ynchausti, Collin, Spencer P. Magleby, Anton E. Bowden, and Larry L. Howell. "Deployable Euler Spiral Connectors (DESCs)." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97546.

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Abstract Deployable Euler Spiral Connectors (DESCs) are introduced as a way to use compliant flexures that lay flat when under strain in a stowed position. This paper presents the design of DESCs using the Euler spiral equations. An application of a spinal device is presented as a proof-of-concept of the use of DESCs.

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Klauder, Louis T. "Railroad Spiral Design and Performance." In 2012 Joint Rail Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/jrc2012-74011.

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This paper reviews forms of spiral geometry that have been used and proposed as transition shapes in railroad tracks and compares them with respect to dynamic performance and spiral length. The dynamic performances that are compared were calculated using the Gensys rail vehicle motion simulation program and a well known model of the Eurofima coach. The results illustrate: 1) the dynamic disturbance caused by the discontinuity of first derivatives of track curvature and twist with the conventional ‘linear’ spiral; 2) the better dynamic performance of other simple forms of spiral including the v

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Fujiwara, Yasuhiro, Yasushi Sakurai, and Masashi Yamamuro. "SPIRAL." In the 14th ACM SIGKDD international conference. ACM Press, 2008. http://dx.doi.org/10.1145/1401890.1401924.

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LEWITOWICZ, M. "PHYSICS WITH SPIRAL AND SPIRAL 2." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702579_0020.

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Lacko, Peter R., Charmaine C. Franck, Matthew Johnson, James M. Ralston, Marshall R. Bradley, and Robert McCummins. "Archimedean-spiral and log-spiral antenna comparison." In AeroSense 2002, edited by J. Thomas Broach, Russell S. Harmon, and Gerald J. Dobeck. SPIE, 2002. http://dx.doi.org/10.1117/12.479093.

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Mao, Minnie. "Spiral DRAGNs." In The many facets of extragalactic radio surveys: towards new scientific challenges. Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.267.0077.

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McKeich, Murray. "Spiral Gall." In Electronic Visualisation and the Arts (EVA 2015). BCS Learning & Development, 2015. http://dx.doi.org/10.14236/ewic/eva2015.81.

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Reports on the topic "Spiral"

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Parsons, Jean L. Spiral Rose. Iowa State University, Digital Repository, 2013. http://dx.doi.org/10.31274/itaa_proceedings-180814-594.

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Drobilisch, Sandor. Spiral track oven. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/761038.

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Greenwood, Jeremy, Nezih Guner, and Karen Kopecky. The Downward Spiral. National Bureau of Economic Research, 2022. http://dx.doi.org/10.3386/w29764.

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Apta, Aruna. Spiral Development: A Perspective. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada444078.

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Blanchard, Olivier. The Wage Price Spiral. National Bureau of Economic Research, 1985. http://dx.doi.org/10.3386/w1771.

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Vorjohann, Felix, and Reinhard Schiffers. Analysis of spiral mandrel dies with novel channel geometries to draw conclusions on the purging time of the melt using CFD. Universidad de los Andes, 2024. https://doi.org/10.51573/andes.pps39.gs.ex.1.

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Spiral mandrel dies are deeply integrated into the extrusion process and are the predominant die type for manufacturing products with a ring-shaped cross-section, e.g. blown film. The geometry of the axial spiral mandrel die is characterized by a spiral mandrel with one or more feed holes that merge into the spiral channels. The spiral channels themselves are embedded in the mandrel and have a characteristic u-shape in cross-section, which is dictated by the milling head used during manufacturing. In the past, numerous geometric parameters of the conventional axial spiral mandrel distributor h

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Donahoo, Carlton, Megan Gorman, David Kancler, Laurie Quill, and Allen R. Revels. Point of Maintenance Usability Study Final Report (Spiral 1 Usability Test, Spiral 3 Synthetic Usability Test, and Spiral 3 Field Usability Test). Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada405542.

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Hansen, W. J., J. T. Foreman, C. C. Albert, L. L. Brownsword, and E. C. Forrester. Spiral Development and Evolutionary Acquisition. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada388167.

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Rushing, Jami, Andrew Ward, and Jeb Tingle. Repair quality assessment : Spiral 4. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48799.

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The Expedient and Expeditionary Airfield Damage Repair (E-ADR), Joint Capability Technology Demonstration (JCTD) program developed, demonstrated, and transitioned a repeatable capability for rapidly repairing bomb-damaged craters at adaptive base locations using logistically friendly technologies, indigenous materials, and less manpower than traditional crater repair methods. Within the E-ADR JCTD program, quality assessment took a major role to ensure quality repairs were performed while meeting the requirements of “just enough, just in time.” Repair criteria for backfill compaction and surfa

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Neel, Michael M. Superconducting Spiral with Integrated Coplanar Balun. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada319049.

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