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Journal articles on the topic 'Rotation figures'

Author: Grafiati

Published: 7 June 2025

Last updated: 16 July 2025

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1

Lee, Seungeun, and Jaehoon Yim. "Students’ Understanding of Figures with Point Symmetry and Its Educational Implications." Korean Society of Educational Studies in Mathematics - Journal of Educational Research in Mathematics 33, no. 2 (2023): 245–65. http://dx.doi.org/10.29275/jerm.2023.33.2.245.

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This paper examines students’ thoughts and the difficulties faced while learning figures with point symmetry. This study was conducted with a class of 5th grade students. We identified the difficulties encountered by them as: confusing the center of a figure with the center of rotation, confusing rotating a figure 180° with moving a figure in the opposite direction, difficulty in specifying and explaining the amount of rotation, tendency to use the property of corresponding sides instead of the property of corresponding points when completing a figure with point symmetry, and difficulty in dea

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2

Khooshabeh, Peter, Mary Hegarty, and Thomas F. Shipley. "Individual Differences in Mental Rotation." Experimental Psychology 60, no. 3 (2013): 164–71. http://dx.doi.org/10.1027/1618-3169/a000184.

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Two experiments tested the hypothesis that imagery ability and figural complexity interact to affect the choice of mental rotation strategies. Participants performed the Shepard and Metzler (1971) mental rotation task. On half of the trials, the 3-D figures were manipulated to create “fragmented” figures, with some cubes missing. Good imagers were less accurate and had longer response times on fragmented figures than on complete figures. Poor imagers performed similarly on fragmented and complete figures. These results suggest that good imagers use holistic mental rotation strategies by defaul

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3

Сальков, Николай, and Nikolay Sal'kov. "Formation of Surfaces Under Kinetic Displaying." Geometry & Graphics 6, no. 1 (2018): 20–33. http://dx.doi.org/10.12737/article_5ad094a0380725.32164760.

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This work is the development of previously published ones in the journal "Geometry and Graphics" as follows: "Kinematic Correspondence of Rotating Spaces" (№ 1, 2013) and "Formation of Cyclic Surfaces in Kinetic Geometry" (№ 4, 2017). Many of mechanisms make rotational movement, wherein rotating parts of one mechanism "invade" into the zone of rotation for another rotating mechanism’s parts. At the same time, in addition to rotation, they can make other movements, both translational and rotational nature. The theory of kinetic geometry, of which this work is an integral part, is developed in o

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4

Rahe, Martina, Matthias Weigelt, and Petra Jansen. "Mental rotation with colored cube figures." Consciousness and Cognition 102 (July 2022): 103350. http://dx.doi.org/10.1016/j.concog.2022.103350.

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5

Kanbe, Fumio. "Mental rotation of random lined figures." Japanese Psychological Research 43, no. 3 (2001): 141–47. http://dx.doi.org/10.1111/1468-5884.00170.

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6

Battista, Christian, and Michael Peters. "Ecological Aspects of Mental Rotation Around the Vertical and Horizontal Axis." Journal of Individual Differences 31, no. 2 (2010): 110–13. http://dx.doi.org/10.1027/1614-0001/a000020.

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Rotation of both natural and man-made objects most commonly requires rotation around the vertical rather than the horizontal axis because it is relatively rare that we need to rotate, e.g., trees, mountains, chairs or vehicles around their horizontal axis in order to match images to their canonical orientation. Waszak, Drewing, and Mausfeld (2005) demonstrated the importance of a gravitationally defined vertical axis and the visual context within which objects occur, when performing mental rotations. We extended their findings in a between-subject design by asking 406 subjects to rotate wirefr

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7

Doyle, Randi A., and Daniel Voyer. "Photographs of real human figures: Item types and persistent sex differences in mental rotation." Quarterly Journal of Experimental Psychology 71, no. 11 (2018): 2411–20. http://dx.doi.org/10.1177/1747021817742079.

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The goal of the current study was to provide a better understanding of the role of image familiarity, embodied cognition, and cognitive strategies on sex differences in performance when rotating blocks and photographs of real human bodies. Two new Mental Rotation Tests (MRTs) were created: one using photographs of real human models positioned as closely as possible to computer drawn figures from the human figures MRT used in Doyle and Voyer’s 2013 study, and one using analogous block figures. It was hypothesised that, when compared to the analogous block figures, the real human figures would l

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8

Huré, J.-M. "Nested spheroidal figures of equilibrium I. Approximate solutions for rigid rotations." Monthly Notices of the Royal Astronomical Society 512, no. 3 (2022): 4031–46. http://dx.doi.org/10.1093/mnras/stab3388.

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ABSTRACT We discuss the equilibrium conditions for a body made of two homogeneous components separated by oblate spheroidal surfaces and in relative motion. While exact solutions are not permitted for rigid rotation (unless a specific ambient pressure), approximations can be obtained for configurations involving a small confocal parameter. The problem then admits two families of solutions, depending on the pressure along the common interface (constant or quadratic with the cylindrical radius). We give in both cases the pressure and the rotation rates as a function of the fractional radius, ell

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9

Dicheva-Kirilova, Natasha, and Jaklina Jivkova-Todorova. "A constructive model of orthogonal axonometry." Facta universitatis - series: Architecture and Civil Engineering 2, no. 5 (2003): 405–12. http://dx.doi.org/10.2298/fuace0305405d.

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A new method for object representation in arbitrary orthogonal axonometry is suggested. Constructions for a point drawing are shown, using two rotations - a rotation of the coordinate plane Oxy to the profile plane and a rotation of the profile plane to the projection plane. Using these simple constructions, an object can be projected on arbitrary plane. Plane figures (circles and polygons) can be pictured, too.

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10

Larson, Gerald E. "Mental rotation of static and dynamic figures." Perception & Psychophysics 58, no. 1 (1996): 153–59. http://dx.doi.org/10.3758/bf03205484.

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11

Barfield, Woodrow, and Gavriel Salvendy. "Discriminating the Structure of Rotated Three-Dimensional Figures." Perceptual and Motor Skills 65, no. 2 (1987): 453–54. http://dx.doi.org/10.2466/pms.1987.65.2.453.

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Visualizing the structure of transformed (by rotation) three-dimensional (3-D) figures is an important aspect of information processing for computer-graphics tasks. However, little research exists to establish the speed and accuracy in which subjects perform discrimination tasks for transformed images and the effects of rotation variables on perceiving transformed images. This research tests the effects of figural complexity, angles and axes of rotation on the speed and accuracy in which subjects discriminate the structure of rotated 3-D wireframe images. Results show that response times are a

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12

Zabelina, E. V., N. S. Kozlova, and I. I. Svistkova. "Practice of the visual determination of the direction of light polarization plane rotation in the gyrotropic uniaxial single crystals." Izvestiya Vysshikh Uchebnykh Zavedenii. Materialy Elektronnoi Tekhniki = Materials of Electronics Engineering 25, no. 3 (2022): 179–87. http://dx.doi.org/10.17073/1609-3577-2022-3-179-187.

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When studying and applying crystals of the middle category, it is necessary to take into account the manifestations of anisotropy of their properties, in particular, optical anisotropy. One of the manifestations of optical anisotropy is the rotation of the polarization plane (gyrotropy effect), which is observed in the direction of the optical axis of such crystals. The plane of polarization of light can rotate clockwise and counterclockwise. To determine the direction of rotation of the polarization plane, simple visual methods can be used based on studies of samples in converging polarized l

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13

Huré, J.-M. "Nested spheroidal figures of equilibrium – II. Generalization to layers." Monthly Notices of the Royal Astronomical Society 512, no. 3 (2022): 4047–61. http://dx.doi.org/10.1093/mnras/stac521.

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ABSTRACT We present a vectorial formalism to determine the approximate solutions to the problem of a composite body made of ${\cal L}$ homogeneous, rigidly rotating layers bounded by spheroidal surfaces. The method is based on the first-order expansion of the gravitational potential over confocal parameters, thereby generalizing the method described in Paper I for ${\cal L}=2$. For a given relative geometry of the ellipses and a given set of mass-density jumps at the interfaces, the sequence of rotation rates and interface pressures is obtained analytically by recursion. A wide range of equili

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14

Sandford, James, Woodrow Barfield, and James Foley. "Empirical Studies of Interactive Computer Graphics: Perceptual and Cognitive Issues." Proceedings of the Human Factors Society Annual Meeting 31, no. 5 (1987): 519–23. http://dx.doi.org/10.1177/154193128703100508.

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Two experiments were performed to test the effects of varying computer graphics realism cues (wireframe vs. solid figures, flat vs. smooth shading for solid figures, and one or two light sources for solid figures) on the performance of a standard cognitive task (mental rotation) and on the subjective perceived realism of the computer-generated images. In the mental rotation experiment, mean reaction times were slower for wireframe than for smooth and flat shaded images and significant effects for figure complexity and angle of rotation were shown. In the second experiment, subjective ratings o

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15

Liu, Chia Ju, Chin Fei Huang, Chia Yi Chou, Ming Chi Lu, Yung Yi Chang, and Ming Chung Ho. "Applying Frequency Bands to Explore the Identification of Two Dimensional Figures." Applied Mechanics and Materials 311 (February 2013): 196–201. http://dx.doi.org/10.4028/www.scientific.net/amm.311.196.

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The aim of this study was to apply frequency bands to explore how mental rotation strategies affect the identification of 2D figures. Eighteen adults were recruited for this study. In the ERP experiments, the participants were required to identify 2D figures with mental rotation. The results showed the differences between the high-achieving (HA) and low-achieving (LA) spatial ability participants in their use of mental rotation for identifying 2D figures. At 300-380 ms, the HA participants showed higher brain activity in the right hemisphere than in other brain areas, whereas the LA participan

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16

Su, Yuchan, and Haiyan Zhang. "RESEARCH AND DEVELOPMENT PROCESS OF PENETRATE CORE LITERACY-THE ROTATION AND TRANSFORMATION OF GRAPHICS AS AN EXAMPLE." JOURNAL OF SONGKE MATH 6, no. 1 (2023): 41–60. http://dx.doi.org/10.36928/jsm.v6i1.2167.

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This paper focuses on solving problems from line and difference problems, proving angle problems and common vertex problems using rotational transformation ideas to expand the problem-solving process and develop students' core literacy. After analyzing the mathematics test questions, it is not difficult to find that the rotation of a figure is often tested in a comprehensive expansion. The test questions focused on the problems related to angles or line segments when the figure is rotated to a particular position, integrating the dynamic geometry of change and invariance, geometric conjecture,

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17

Gladkov, Sergey O., and Sofiya B. Bogdanova. "On the shape of the brachistichrone rotating in a vertical plane." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 78 (2022): 86–98. http://dx.doi.org/10.17223/19988621/78/7.

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The paper aims to study the influence of the brachistochrone rotating in its own plane on the gutter shape along which a body moves. The problem is solved with a moving basis, which allows one to account for all forces exerted on the body. Introduction of the moving basis yields a compact system of dynamical equations, whose validity was proven in previous author's papers. In limiting cases, such an approach is used to solve analytically the obtained equations of motion and to determine the shape of curves depending on the parameters in the equations by tabular integration. The latter is illus

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18

Huang, Kuo-Chen, Shin-Tsann Lee, and Chun-Chieh Chang. "Color, Dispersion, and Exposure Time in Performance on Rotated Figure Recognition." Perceptual and Motor Skills 107, no. 2 (2008): 547–56. http://dx.doi.org/10.2466/pms.107.2.547-556.

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This study investigated the effects of dispersion. color, and rotation of figures on recognition under varied exposure times. A total of 30 women and 15 men, Taiwanese college students ages 18 to 20 years ( M = 19.1, SD = 1.2), participated. Subjects were to recognize a target figure and respond with its location in each stimulus by pressing a mouse button. Analysis showed that the effect of rotation on accuracy was significant. Accuracy for the rotation of 180° was greater than those for 60° and 300°. Exposure time also significantly influenced accuracy. The accuracy was greater for 2 and 3 s

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19

Denisova, Irina V., and Vsevolod A. Solonnikov. "Hölder Space Theory for the Rotation Problem of a Two-Phase Drop." Mathematics 10, no. 24 (2022): 4799. http://dx.doi.org/10.3390/math10244799.

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We investigate a uniformly rotating finite mass consisting of two immiscible, viscous, incompressible self-gravitating fluids which is governed by an interface problem for the Navier–Stokes system with mass forces and the gradient of the Newton potential on the right-hand sides. The interface between the liquids is assumed to be closed. Surface tension acts on the interface and on the exterior free boundary. A study of this problem is performed in the Hölder spaces of functions. The global unique solvability of the problem is obtained under the smallness of the initial data, external forces an

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20

Ibragimov, F., and K. Shirinova. ""FIGURES OF ROTATION" IN XI CLASSES OF GENERAL EDUCATION SCHOOLS. "CYLINDER, CONE, SPHERE" LEARNING TECHNOLOGY." Znanstvena misel journal, no. 95 (October 27, 2024): 25–34. https://doi.org/10.5281/zenodo.13999091.

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In the article, "Figures of rotation", which is included in the content of Mathematics subject in XI classes of general education schools. The content of the skills intended to become subjects of the students in the pro-cess of teaching the materials for the "Cylinder, Cone, Sphere" educational unit has been presented. "Rotation figures" of the content elements that carry the "enabling function" in the formation of the aforementioned skills. Attention is directed to the presence of "cylinder, cone, sphere" in the educational unit and the technolo-gy of turning them into action in the students'

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21

Huybers, P. "Form Generation Of Polyhedric Building Shapes." International Journal of Space Structures 11, no. 1-2 (1996): 173–81. http://dx.doi.org/10.1177/026635119601-223.

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The Platonic - or regular - and the Archimedean - or semi-regular - polyhedra can be considered as portions of space that are completely surrounded by one or more kinds of regular polygons. The numbers and positions in space of these polygons are strictly ruled by universal criteria. It is therefore possible to form these polyhedra by placing polygons around the centre of the coordinate system in distinct numbers, at certain distances and under certain angles in accordance with these rules. This is called here ‘rotation’ and the forelying paper describes a method where this is done for the reg

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22

Galli, Daniele. "Rotating magnetopolytropes: spherical figures of equilibrium due to balance of magnetic field and rotation." Astrophysics and Space Science 204, no. 1 (1993): 111–27. http://dx.doi.org/10.1007/bf00658098.

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23

Krug, Kristine, Emma Brunskill, Antonina Scarna, Guy M. Goodwin, and Andrew J. Parker. "Perceptual switch rates with ambiguous structure-from-motion figures in bipolar disorder." Proceedings of the Royal Society B: Biological Sciences 275, no. 1645 (2008): 1839–48. http://dx.doi.org/10.1098/rspb.2008.0043.

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Slowing of the rate at which a rivalrous percept switches from one configuration to another has been suggested as a potential trait marker for bipolar disorder. We measured perceptual alternations for a bistable, rotating, structure-from-motion cylinder in bipolar and control participants. In a control task, binocular depth rendered the direction of cylinder rotation unambiguous to monitor participants' performance and attention during the experimental task. A particular direction of rotation was perceptually stable, on average, for 33.5 s in participants without psychiatric diagnosis. Euthymi

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24

Hansen, Niels Chr, and David Huron. "Twirling Triplets: The Qualia of Rotation and Musical Rhythm." Music & Science 2 (January 1, 2019): 205920431881224. http://dx.doi.org/10.1177/2059204318812243.

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While musicologists have long noted that triplet rhythms evoke sensations of rotation in listeners, no theory has been proposed to account for this apparent association. To investigate this phenomenon, 33 excerpts of “spinning, rotating, twirling, or swirling” music were crowd-sourced from an online discussion forum. Analysis revealed a prominence of fast, repeated, isochronous patterns using stepwise pitch movement, with significantly more compound meters than generally found in Western music. Inspired by ecological acoustics, an Ecological Theory of Rotating Sounds (ETRoS) is proposed to exp

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Kondratyev, B. P. "New formula for the angular velocity of rotation of liquid equilibrium figures." Astronomičeskij žurnal 101, no. 10 (2024): 921–28. https://doi.org/10.31857/s0004629924100059.

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The aim of the work is to derive a new dynamic formula for the angular velocity of rotation of equilibrium figures of a gravitating fluid with a polytropic equation of state. In this formula, the angular velocity of rotation depends not only on the polytropic index 0 ≤ n ≤ 5, but, and this is the main thing, on the components of the internal and external gravitational energy of the figure. When solving the problem, the integration constant in the full potential was expressed through three global characteristics: mass, full gravitational energy and rotation energy of the equilibrium figure. The

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Morrison, Craig S., and Christina M. Frederick. "Relationship of Initial and Final Scores on a Qualitative Analysis of Movement Test." Perceptual and Motor Skills 87, no. 2 (1998): 651–55. http://dx.doi.org/10.2466/pms.1998.87.2.651.

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The present study examined the relationship of initial qualitative analysis of movement scores, disembedding scores, and mental rotation scores on terminal qualitative analysis of movement scores. The subjects were 19 female and 17 male undergraduate majors in physical education, 14 from Oklahoma State University and 22 from Southern Utah University, with a mean age of 23.0 ± 4.5 yr. The test and instructional unit on qualitative analysis of movement were developed by Morrison and Harrison in 1985. The Group Embedded Figures Test was used to discern disembedding scores and the Mental Rotations

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27

Heinen, Thomas, and Damian Jeraj. "THE ATHLETES’ BODY SHAPES THE ATHLETES’ MIND – NEW PERSPECTIVES ON MENTAL ROTATION PERFORMANCE IN ATHLETES." Problems of Psychology in the 21st Century 7, no. 1 (2013): 23–31. http://dx.doi.org/10.33225/ppc/13.07.23.

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Mentally rotating the image of an object is one fundamental cognitive ability in humans. Recent theoretical developments and empirical evidences highlight the potential role of the sensory-motor system, when analysing and understanding mental rotation. Therefore, the purpose of this study was to investigate the role of specific sensory-motor experience on mental rotation performance in gymnasts. N = 40 male gymnasts with either clockwise or anticlockwise rotation preference in a forward twisting layout salto performed a psychometric mental rotation test with either rotation-preference congruen

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Вышнепольский, Владимир, Vladimir Vyshnepol'skiy, К. Киршанов, K. Kirshanov, К. Егиазарян, and K. Egiazaryan. "Loci of Points Equally Spaced From Two Given Geometrical Figures. Part 3." Geometry & Graphics 6, no. 4 (2019): 3–19. http://dx.doi.org/10.12737/article_5c21f207bfd6e4.78537377.

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The loci (L) equally spaced from a sphere and a straight line, and from a conic surface and a plane, are considered. The following options have been considered. The straight line passes through the center of the sphere (a = 0), at the same time completely at spheres’ positive radiuses a surface of rotation is obtained, forming which the parabola is, and a rotation axis – this straight line. The parabola’s top forms the biggest parallel on the site points of intersection of the parabola’s forming with the rotation axis. Let's call such paraboloid a perpendicular paraboloid of rotation. The stra

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Mel’nikov, A. V. "Orientation of Figures of Small Planetary Satellites During Chaotic Rotation." Solar System Research 54, no. 5 (2020): 432–41. http://dx.doi.org/10.1134/s0038094620050068.

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Caimmi, R. "R fluids." Serbian Astronomical Journal, no. 176 (2008): 23–35. http://dx.doi.org/10.2298/saj0876023c.

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A theory of collisionless fluids is developed in a unified picture, where nonrotating (?f1 = ?f2 = ?f3 = 0) figures with some given random velocity component distributions, and rotating (?f1 = ?f2 = ?f3 ) figures with a different random velocity component distributions, make adjoint configurations to the same system. R fluids are defined as ideal, self-gravitating fluids satisfying the virial theorem assumptions, in presence of systematic rotation around each of the principal axes of inertia. To this aim, mean and rms angular velocities and mean and rms tangential velocity components are expre

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Kalyadin, V. I. "Formulas for calculation of geometric characteristics of plane figures, restricted by cubic spline curves." Izvestiya MGTU MAMI 9, no. 4-4 (2015): 53–58. http://dx.doi.org/10.17816/2074-0530-67032.

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The article describes calculation of geometric characteristics of plane figures, which outlines are described by cubic spline curves. The authors obtained the exact formula to calculate area and static moments. The formulas allow to define the position of the center of gravity of figures and volumesof bodies formed by rotation of shapes around the axis.

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Browning, Matthew K. "Differential Rotation and Magnetism in Simulations of Fully Convective Stars." Proceedings of the International Astronomical Union 6, S271 (2010): 69–77. http://dx.doi.org/10.1017/s1743921311017467.

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AbstractStars of sufficiently low mass are convective throughout their interiors, and so do not possess an internal boundary layer akin to the solar tachocline. Because that interface figures so prominently in many theories of the solar magnetic dynamo, a widespread expectation had been that fully convective stars would exhibit surface magnetic behavior very different from that realized in more massive stars. Here I describe how recent observations and theoretical models of dynamo action in low-mass stars are partly confirming, and partly confounding, this basic expectation. In particular, I p

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Mauck, B., and G. Dehnhardt. "Mental rotation in a California sea lion (Zalophus californianus)." Journal of Experimental Biology 200, no. 9 (1997): 1309–16. http://dx.doi.org/10.1242/jeb.200.9.1309.

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Mental rotation is a widely accepted concept that suggests an analogue mode of visual information-processing in certain visuospatial tasks. Typically, these tasks demand the discrimination between the image and mirror-image of rotated figures, for which human subjects need an increasing reaction time depending on the angular disparity between the rotated figures. In pigeons, tests of this kind yielded a time-independent rotational invariance, suggested as being the result of a non-analogue information-processing that has evolved in response to the horizontal plane that birds perceive from abov

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Mangraviti, James J. "Legal Update: North Dakota Supreme Court: Third Edition of Guides is “Most Current”." Guides Newsletter 4, no. 1 (1999): 6–7. http://dx.doi.org/10.1001/amaguidesnewsletters.1999.janfeb04.

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Abstract The accurate measurement of hip motion is critical when one rates impairments of this joint, makes an initial diagnosis, assesses progression over time, and evaluates treatment outcome. The hip permits all motions typical of a ball-and-socket joint. The hip sacrifices some motion but gains stability and strength. Figures 52 to 54 in AMA Guides to the Evaluation of Permanent Impairment (AMA Guides), Fourth Edition, illustrate techniques for measuring hip flexion, loss of extension, abduction, adduction, and external and internal rotation. Figure 53 in the AMA Guides, Fourth Edition, il

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Kondratyev, B. P. "Equilibrium figures of two liquid masses with synchronous rotation. Dynamics of a double asteroid (190166) 2005 UP156." Astronomičeskij žurnal 101, no. 7 (2024): 651–59. https://doi.org/10.31857/s0004629924070074.

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The problem of equilibrium figures of two liquid masses in a state of tidal mutual capture is posed and solved. The condition of complete synchronous (orbital plus spin) rotation is satisfied in the system, both bodies have the same masses and congruent ellipsoidal surfaces. For each figure, in addition to its own gravity and centrifugal forces, the attraction from the second body is taken into account in the tidal approximation. The spatial form of equilibrium figures in the form of triaxial ellipsoids is found by an analytical and numerical method. It is established that the spin rotation of

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Kondratyev, B. P. "Equilibrium Figures of Two Liquid Masses with Synchronous Rotation. Dynamics of Double Asteroid (190166) 2005 UP156." Astronomy Reports 68, no. 7 (2024): 681–87. http://dx.doi.org/10.1134/s1063772924700628.

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Abstract The problem of equilibrium figures of two liquid masses in a state of tidal mutual capture is posed and solved. The condition of complete synchronous (orbital plus spin) rotation is satisfied in the system, and both bodies have the same masses and congruent ellipsoidal surfaces. For each figure, besides its own gravity and centrifugal forces, the attraction from the second body is taken into account in the tidal approximation. The spatial form of equilibrium figures as triaxial ellipsoids is found by an analytical and numerical method. The spin rotation of ellipsoidal equilibrium figu

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Lebedev, Pavel, and Vladimir Ushakov. "Methods of optimization of Hausdorff distance between convex rotating figures." Yugoslav Journal of Operations Research 30, no. 4 (2020): 429–42. http://dx.doi.org/10.2298/yjor191125027l.

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We studied the problem of optimizing the Hausdorff distance between two convex polygons. Its minimization is chosen as the criterion of optimality. It is believed that one of the polygons can make arbitrary movements on the plane, including parallel transfer and rotation with the center at any point. The other polygon is considered to be motionless. Iterative algorithms for the phased shift and rotation of the polygon are developed and implemented programmatically, providing a decrease in the Hausdorff distance between it and the fixed polygon. Theorems on the correctness of algorithms for a w

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Suzuki, Kotaro, and Yusuke Nakata. "Does the size of figures affect the rate of mental rotation?" Perception & Psychophysics 44, no. 1 (1988): 76–80. http://dx.doi.org/10.3758/bf03207479.

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Scheer, Clara, Felipe Mattioni Maturana, and Petra Jansen. "Sex differences in a chronometric mental rotation test with cube figures." NeuroReport 29, no. 10 (2018): 870–75. http://dx.doi.org/10.1097/wnr.0000000000001046.

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Shi, Zhi Wei, and Wei Hong Sun. "Modeling of Sewing Machine with Independent Rotation Axe." Advanced Materials Research 945-949 (June 2014): 319–24. http://dx.doi.org/10.4028/www.scientific.net/amr.945-949.319.

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A preliminary investigation into aspects of the sewing machine is presented. A mechanical structure is proposed, whose difference with the traditional one is the rotation axe according to the direction of the next stitch. To get the perfect sewing tracks, the theoretical movement of the process is set up. The results of the samples showed that this architecture can meet most of typical geometrical figures, especially the irregular ones.

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Czarnolewski, Mark Y., and John Eliot. "Preliminary Identification of Nonlinear Correlations for Spatial Tests and Reaction-Time Tasks." Perceptual and Motor Skills 90, no. 2 (2000): 423–34. http://dx.doi.org/10.2466/pms.2000.90.2.423.

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Scores on three spatial tests (mental rotation, embedded figures, and gestalt completion) were significantly correlated with four same–different reaction-time tasks in a sample of 48 female university students. Scores on the Vandenberg-Kuse mental rotation test correlated best with a one-different–all-different task, embedded figures with a one-different-all-same task, and the gestalt completion with a one-same-all-same task, suggesting that the strategies subjects employ for each spatial test are similar to the strategies they use in each of the same–different tasks with which their scores co

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Weatherly, Doris C., Steven E. Ball, and James R. Stacks. "Reliance on Visual Imagery and its Relation to Mental Rotation." Perceptual and Motor Skills 85, no. 2 (1997): 431–34. http://dx.doi.org/10.2466/pms.1997.85.2.431.

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The relationship of habitual use of visual imagery and mental rotation was investigated. Reliance on Visual Imagery scores were used to define subjects as high frequency or low frequency visualizers. During the mental rotation task, subjects indicated if a pair of 2-dimensional stimulus figures displayed on a computer screen were identical or mirror-images. Figures on the right were rotated in relation to those on the left by 0, 60, 120, or 180°. Data supported the prediction that subjects who report high use of imagery would perform the task with greater accuracy ( z=1.97, p<.05) than subj

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Turgut, Melih, Kürşat Yenilmez, and Pınar Anapa. "Symmetry and rotation skills of prospective elementary mathematics teachers." Bolema: Boletim de Educação Matemática 28, no. 48 (2014): 383–402. http://dx.doi.org/10.1590/1980-4415v28n48a19.

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The aim of this study was to investigate the skills and deficiencies of senior university students enrolled in a mathematics education program with the concepts of symmetry and rotation of geometric figures. The study was conducted with 32 prospective teachers in the Department of Education at a public university located in Western Turkey. This descriptive study was designed with a case study. A structured interview technique was used for data collection. A measurement tool consisting of 12 drawing problems testing symmetry (5 problems) and rotation (7 problems) ability was used in the study.

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Hong, Gap Ju, Pan Soo Kim, and Ye Ji Lee. "Students' understanding of changes in shape and direction in the transformation of plane figures." Korean School Mathematics Society 27, no. 3 (2024): 345–61. http://dx.doi.org/10.30807/ksms.2024.27.3.004.

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This study analyzes how the shape and direction of figures are addressed in relation to transformations (translation, reflection, and rotation) in elementary school textbooks from the 7th curriculum to the 2015 revised curriculum, and investigates 5th-grade students' understanding of shape and direction through a test. The results revealed that students interpreted the meaning of shape inconsistently, varying their understanding based on the given context. In tasks requiring students to identify whether the shape or direction of a figure remained unchanged after reflection or rotation, their r

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Tan, Üner, Mukadder Okuyan, Tugba Bayraktar, and Ahmet Akgun. "Covariation of Sex Differences in Mental Rotation with Body Size." Perceptual and Motor Skills 96, no. 1 (2003): 137–44. http://dx.doi.org/10.2466/pms.2003.96.1.137.

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Sex difference in mental rotation ability was reconsidered. The Vandenberg-Kuse figures were administered to 120 male and 76 female students from the Medical School of BlackSea Technical University in Trabzon, Turkey to assess the mental rotation ability. Students' height and weight were measured. As expected, men outperformed women on this test and had greater height and weight. Number correct on mental rotation test significantly correlated with height and weight for the total sample and for men, but only with weight for women. Using weight as covariate, the sex difference was no longer sign

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Nuñez, Anthony, Mehrnoosh Tahani, Susan E. Clark, Enrique Lopez-Rodriguez, and Cameron L. Van Eck. "Consolidated Rotation Measure Catalog Update." Research Notes of the AAS 8, no. 5 (2024): 144. http://dx.doi.org/10.3847/2515-5172/ad4e36.

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Abstract We identified discrepancies between the rotation measure (RM) catalogs by Clegg et al. and Minter & Spangler and their corresponding rows in the Van Eck et al. consolidated catalog. The discrepancies, in the case of Minter & Spangler, are caused by the improper coordinate conversions between J2000 and B1950 Equatorial coordinate systems used between the catalogs. The discrepancies associated with Clegg et al. are due to differences in the number of significant figures reported between the original and consolidated catalogs, which result in overlapping points in the consolidate

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Plekhanov, O. S., V. M. Anikin, and M. G. Inkin. "PRESERVING MEASURE CHAOTIC MAPS OF DOMAINS IN THE FORM OF ROTATION FIGURES." Izvestiya VUZ. Applied Nonlinear Dynamics 26, no. 1 (2018): 90–103. http://dx.doi.org/10.18500/0869-6632-2018-26-1-90-103.

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Kondratyev, B. P. "New Formula for the Angular Velocity of Rotation of Liquid Equilibrium Figures." Astronomy Reports 68, no. 10 (2024): 1014–21. https://doi.org/10.1134/s1063772924700872.

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Fitzhugh, S., T. F. Shipley, N. Newcombe, K. McKenna, and D. Dumay. "Mental rotation of real word Shepard-Metzler figures: An eye tracking study." Journal of Vision 8, no. 6 (2010): 648. http://dx.doi.org/10.1167/8.6.648.

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Dovramadjiev, Tihomir. "Principles of Three-Dimensional Computer Design for Understanding Impossible Figures." International Journal of Engineering and Management Sciences 5, no. 2 (2020): 167–73. http://dx.doi.org/10.21791/ijems.2020.2.21.

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For a better understanding of the impossible figures, it is advisable to use modern technological means by which the design of the geometry of the models gives a complete understanding of how they are made. Computer-aided 3D design completely solves this problem. That is, on the one hand, the ultimate visual variant of impossible figures is created, on the other hand, there is the possibility for real manipulation, movement, rotation and other models of space. In this study, 3D models of impossible figures are fully constructed, which are applied in the educational process in order to develop

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