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中文摘要：
利用准晶菱形嵌入与多维正方形格Z＋^d的关系,给出了具有固定交角的准晶圆模式的定义.在多维正方形格Z＋^d上建立了交比系统,给出其离散零曲率条件.讨论了多维正方形格Z＋^d上由交比方程与一个非自治约束所决定的系统的同单值解.通过求解交比系统适当的Cauchy问题,得到具有固定交角的准晶圆模式的存在性.
英文摘要：
The quasicrystallic circle patterns with constant angles are defined by using the relationship between quasicrystallic rhombic embeddings and multi-dimensional regular square lattice Z＋^d. The cross-ratio systems on Z＋^d is established, and their zero curvature conditions are given. Also a class of isomonodromic solutions determined by the cross-ratio equations and a non-autonomous constraint on Zd are discussed. The existence of the quasicrystallic circle patterns with constant angles is obtained by solving some suitable Cauchy problems for the cross-ratio systems.
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