论文标题
魔术24细胞的结构
A construction of magic 24-cells
论文作者
论文摘要
我找到了一个新颖的魔术广场模拟，魔术24细胞。问题是将连续的数字1至24分配给图表中的顶点，该图由24个八面体和24个顶点组成，以使每个八面体的数字相同。众所周知，Tesseract上有刻度魔术和面部魔术标签。但是，由于24细胞包含三角形，因此不可能为每个顶点分配不同的标签。因此，我试图制作24细胞的细胞魔术标记。三个二进制标记和一个三元标记的线性组合可提供64个不同的魔术标签24细胞。由于5x5 Magic Square和Magic 24细胞之间的顶点数量相似，因此可以计算魔术24细胞的数量。需要进一步的分析来确定魔术24细胞的数量。
I found a novel class of magic square analogue, magic 24-cell. The problem is to assign the consecutive numbers 1 through 24 to the vertices in a graph, which is composed of 24 octahedra and 24 vertices, to make the sum of the numbers of each octahedron the same. It is known that there are facet-magic and face-magic labelings of tesseract. However, because of 24-cell contains triangle, face-magic labeling to assign different labels to each vertex is impossible. So I tried to make a cell-magic labeling of 24-cell. Linear combination of three binary labeling and one ternary labeling gives 64 different magic labelings of 24-cell. Due to similarity in the number of vertices between 5x5 magic square and magic 24-cell, It might be possible to calculate the number of magic 24-cell. Further analysis would be need to determine the number of magic 24-cell.
