PERFECT QUADRILATERAL RIGHT PRISMS

被引:0
|
作者
Macleod, Allan J. [1 ]
机构
[1] Univ West Scotland, Stat OR & Math Grp, Paisley PA1 2BE, Renfrew, Scotland
关键词
D O I
10.1216/RMJ-2013-43-5-1689
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider right prisms with horizontal quadrilateral bases and tops, and vertical rectangular sides. We look for examples where all the edges, face diagonals and space diagonals are integers. We find examples when the base is an isosceles trapezium or a parallelogram, but no solution for a kite or rhombus.
引用
收藏
页码:1689 / 1705
页数:17
相关论文
共 50 条
  • [1] PERFECT ISOGONALITY IN QUADRILATERAL
    Nenkov, Veselin
    Stefanov, Stanislav
    Haimov, Haim
    MATHEMATICS AND INFORMATICS, 2018, 61 (02): : 175 - 189
  • [2] OPTICAL PERFECT SHUFFLE USING WOLLASTON PRISMS
    BIAN, SP
    XU, KB
    HONG, J
    APPLIED OPTICS, 1991, 30 (02): : 173 - 174
  • [3] Golden right triangles and the golden quadrilateral
    Scimone, Aldo
    MATHEMATICAL GAZETTE, 2022, 106 (565): : 9 - 20
  • [4] PERFECT-SHUFFLE IMPLEMENTATION BY USING REFLECTING PRISMS
    LAI, SC
    HSU, DS
    APPLIED OPTICS, 1992, 31 (29): : 6191 - 6192
  • [5] Plasmonic metasurface with quadrilateral truncated cones for visible perfect absorber
    Wang, Yicheng
    Chen, Kunlin
    Lin, Yu-Sheng
    Yang, Bo-Ru
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2022, 139
  • [6] DEVIATION AND COLOR CONTRIBUTION OF RIGHT ANGLE PRISMS
    GUPTA, SK
    HRADAYNATH, R
    INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 1984, 22 (10) : 584 - 586
  • [7] MAKING AND TESTING RIGHT ANGLE AND DOVE PRISMS
    DEVANY, AS
    APPLIED OPTICS, 1968, 7 (06): : 1085 - &
  • [8] Polarization properties of retroreflecting right-angle prisms
    Azzam, R. M. A.
    Khanfar, H. K.
    APPLIED OPTICS, 2008, 47 (03) : 359 - 364
  • [9] Connectivity in Dense Networks Confined within Right Prisms
    Coon, Justin P.
    Georgiou, Orestis
    Dettmann, Carl P.
    2014 12TH INTERNATIONAL SYMPOSIUM ON MODELING AND OPTIMIZATION IN MOBILE, AD HOC, AND WIRELESS NETWORKS (WIOPT), 2014, : 628 - 635
  • [10] On the theory and testing of right-angled prisms.
    Nicholson, JW
    Cheshire, FJ
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1923, 104 (728) : 572 - 587