Relevant bibliographies by topics / Cyclic groups and regular polygons

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Cyclic groups and regular polygons'

Author: Grafiati
Published: 4 June 2021
Last updated: 31 January 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Cyclic groups and regular polygons.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Cyclic groups and regular polygons"

1

Rehman, Shafiq Ur, Ghulam Farid, Tayaba Tariq, and Ebenezer Bonyah. "Equal-Square Graphs Associated with Finite Groups." Journal of Mathematics 2022 (February 24, 2022): 1–6. http://dx.doi.org/10.1155/2022/9244325.

Full text
Abstract:
The graphical representation of finite groups is studied in this paper. For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct vertices x and y are adjacent iff x 2 = y 2 . We call this graph an equal-square graph of the finite group G , symbolized by E S G . Some interesting properties of E S G are studied. Moreover, examples of equal-square graphs of finite cyclic groups, groups of plane symmetries of regular polygons, group of units U n , and the finite abelian groups are constructed.
APA, Harvard, Vancouver, ISO, and other styles
2

Mullen, Gary L., and Harald Niederreiter. "The structure of a group of permutation polynomials." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 38, no. 2 (1985): 164–70. http://dx.doi.org/10.1017/s1446788700023016.

Full text
Abstract:
AbstractLet Gq be the group of permutations of the finite field Fq of odd order q that can be represented by polynomials of the form ax(q+1)/2 + bx with a, b ∈ Fq. It is shown that Gq is isomorphic to the regular wreath product of two cyclic groups. The structure of Gq can also be described in terms of cyclic, dicyclic, and dihedral groups. It also turns out that Gq is isomorphic to the dymmetry group of a regular complex polygon.
APA, Harvard, Vancouver, ISO, and other styles
3

Nurfarah Zulkifli and Nor Muhainiah Mohd Ali. "RELATIVE COPRIME PROBABILITY FOR CYCLIC SUBGROUPS OF SOME DIHEDRAL GROUPS." Open Journal of Science and Technology 3, no. 4 (2020): 314–21. http://dx.doi.org/10.31580/ojst.v3i4.1679.

Full text
Abstract:
A dihedral group is a group of symmetries of a regular -sided polygon, in other words, a structured operation that will make n-gon to go back to itself through a solid motion. Many researchers have studied various fields of group theory using dihedral groups and one of them is the study of the coprime probability of a group and it is defined as the probability of a random pair of elements in a group G such that the greatest common divisor of the order of x and y, where x and y are in G, is equal to one. The coprime probability of G is then extended to the relative coprime probability G and it
APA, Harvard, Vancouver, ISO, and other styles
4

Donkoh, E. K., S. K. Amponsah, and A. A. Opoku. "Overlap Dimensions in Cyclic Tessellable Regular Polygons." Research Journal of Mathematics and Statistics 7, no. 2 (2015): 11–16. http://dx.doi.org/10.19026/rjms.7.5274.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

BRUCKSTEIN, ALFRED M., GUILLERMO SAPIRO, and DORON SHAKED. "EVOLUTIONS OF PLANAR POLYGONS." International Journal of Pattern Recognition and Artificial Intelligence 09, no. 06 (1995): 991–1014. http://dx.doi.org/10.1142/s0218001495000407.

Full text
Abstract:
Evolutions of closed planar polygons are studied in this work. In the first part of the paper, the general theory of linear polygon evolutions is presented, and two specific problems are analyzed. The first one is a polygonal analog of a novel affine-invariant differential curve evolution, for which the convergence of planar curves to ellipses was proved. In the polygon case, convergence to polygonal approximation of ellipses, polygo nal ellipses, is proven. The second one is related to cyclic pursuit problems, and convergence, either to polygonal ellipses or to polygonal circles, is proven. I
APA, Harvard, Vancouver, ISO, and other styles
6

Chinyere, Ihechukwu, and Gerald Williams. "Generalized polygons and star graphs of cyclic presentations of groups." Journal of Combinatorial Theory, Series A 190 (August 2022): 105638. http://dx.doi.org/10.1016/j.jcta.2022.105638.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Friedenberg, Jay. "The Perceived Beauty of Regular Polygon Tessellations." Symmetry 11, no. 8 (2019): 984. http://dx.doi.org/10.3390/sym11080984.

Full text
Abstract:
Beauty judgments for regular polygon tessellations were examined in two experiments. In experiment 1 we tested the three regular and eight semi-regular tilings characterized by a single vertex. In experiment 2 we tested the 20 demi-regular tilings containing two vertices. Observers viewed the tessellations at different random orientations inside a circular aperture and rated them using a numeric 1–7 scale. The data from the first experiment show a peak in preference for tiles with two types of polygons and for five polygons around a vertex. Triangles were liked more than other geometric shapes
APA, Harvard, Vancouver, ISO, and other styles
8

Conder, Marston D. E., and Thomas W. Tucker. "Regular Cayley maps for cyclic groups." Transactions of the American Mathematical Society 366, no. 7 (2014): 3585–609. http://dx.doi.org/10.1090/s0002-9947-2014-05933-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Williams, Gordon. "Petrie Schemes." Canadian Journal of Mathematics 57, no. 4 (2005): 844–70. http://dx.doi.org/10.4153/cjm-2005-033-6.

Full text
Abstract:
AbstractPetrie polygons, especially as they arise in the study of regular polytopes and Coxeter groups, have been studied by geometers and group theorists since the early part of the twentieth century. An open question is the determination of which polyhedra possess Petrie polygons that are simple closed curves. The current work explores combinatorial structures in abstract polytopes, called Petrie schemes, that generalize the notion of a Petrie polygon. It is established that all of the regular convex polytopes and honeycombs in Euclidean spaces, as well as all of the Gr¨unbaum–Dress polyhedr
APA, Harvard, Vancouver, ISO, and other styles
10

Riedl, Jeffrey M. "Automorphisms of Regular Wreath Product -Groups." International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–12. http://dx.doi.org/10.1155/2009/245617.

Full text
Abstract:
We present a useful new characterization of the automorphisms of the regular wreath product group of a finite cyclic -group by a finite cyclic -group, for any prime , and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(), where is the regular wreath product of a finite cyclic -group by an arbitrary finite -group.
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Cyclic groups and regular polygons"

1

Emmett, Lynn. "Regular orbits of cyclic subgroups of the simple classical groups." Thesis, University of East Anglia, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.426917.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Tolmie, Julie, and julie tolmie@techbc ca. "Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1." The Australian National University. School of Mathematical Sciences, 2000. http://thesis.anu.edu.au./public/adt-ANU20020313.101505.

Full text
Abstract:
There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. ¶ The second result is a new enumeration of the rational numbers mod1, obtained, and expressed, in abstract visual space,
APA, Harvard, Vancouver, ISO, and other styles
3

Tolmie, Julie. "Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1." Phd thesis, 2000. http://hdl.handle.net/1885/6969.

Full text
Abstract:
There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. The second result is a new enumeration of the rational numbers mod1, obtained, and expressed, in abstract visual space, a
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Cyclic groups and regular polygons"

1

Zhou, Junyi, and Jing Shi. "Effect of Facility Geometry on RFID Localization Accuracy." In ASME 2009 International Manufacturing Science and Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/msec2009-84323.

Full text
Abstract:
Radio frequency identification (RFID) is a promising technology for localization in various industrial applications. In RFID localization, accuracy is the top performance concern, and it is affected by multiple factors. In this paper, we investigate how the facility geometry impacts the expected localization accuracy in the entire region where the target is uniformly distributed. Three groups of geometries, namely, rectangles with various length-to-width ratios, circle, and regular polygons with 3–10 edges, are chosen for this study. A hybrid multilateration approach, which combines linearizat
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography