边幻图是一种标记图，其
图的边用不同的元素
标记，使得每个图的顶点处的图的边标签之和相同。
顶点幻图标记图的顶点，这些顶点沿每个直线段给出相同的和。 使用数字 1、2、...、10 无法形成幻五角星（Trigg 1960；Langman 1962，pp. 80-83；Dongre 1971；Richards 1975；Buckley 和 Rubin 1977-1978；Trigg 1998），但可以形成 168 个近似幻五角星（其中五条线中的四条线的和相同）。 上图显示了一个幻五角星，其和为 24，使用标签 1、2、3、4、5、6、8、9、10 和 12 构建（Madachy 1979）。
另请参阅
反幻图、
标记图、
幻圆、
幻常数、
幻立方、
幻六边形、
幻方
使用 探索
参考文献
Buckley, M. R. W. and Rubin, F. Solution to Problem 385. "Do Pentacles Exists?" J. Recr. Math. 10, 288-289, 1977-78.Doob, M. "Characterization of Regular Magic Graphs." J. Comb. Th. B 25, 94-104, 1978.Dongre, N. M. "More About Magic Star Polygons." Amer. Math. Monthly 78, 1025, 1971.Gallian, J. "Dynamic Survey of Graph Labeling." Elec. J. Combin. DS6. Dec. 21, 2018. https://www.combinatorics.org/ojs/index.php/eljc/article/view/DS6.Hartsfield, N. and Ringel, G. Pearls in Graph Theory: A Comprehensive Introduction. San Diego, CA: Academic Press, 1990.Heinz, H. "Magic Stars." http://www.magic-squares.net/magicstar.htm.Heinz, H. "Magic 3-D Polygons & Graphs." http://www.magic-squares.net/perimeter-3.htm.Jezný, S. and Trenkler, M. "Characterization of Magic Graphs." Czech. Math. J. 33, 435-438, 1983.Jeurissen, R. H. "Magic Graphs, a Characterization." Europ. J. Combin. 9, 363-368, 1988.Langman, H. Play Mathematics. New York: Hafner, 1962.Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 98-99, 1979.Pickover, C. A. The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions. Princeton, NJ: Princeton University Press, 2002.Richards, I. "Impossibility." Math. Mag. 48, 249-262, Nov. 1975.Rivera, C. "Problems & Puzzles: Puzzle 013-The Prime-Magical Pentagram." http://www.primepuzzles.net/puzzles/puzz_013.htm.Silke, T. "Magic Hexagon." http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/magic-hexagon.Trigg, C. W. "Solution of Problem 113." Pi Mu Epsilon J. 3, 119-120, Fall 1960.Trigg, C. W. "Ten Elements on a Pentagram." Eureka (Canada) 3, 5-6, Jan. 1977.Trigg, C. W. "Almost Magic Pentagrams." J. Recr. Math. 29, 8-11, 1998.Wynne, B. E. "Perfect Magic Icosapentacles." J. Recr. Math. 9, 241-248, 1976-77.在 中被引用
幻图
引用为
Weisstein, Eric W. "幻图。" 来自 ——Wolfram 网络资源。 https://mathworld.net.cn/MagicGraph.html
主题分类
