中文摘要：

G2型Shi—Catalan构形是二维空间中的重构形，它是将G2型Weyl构形在同一轨道中的超平面赋予相同的重数而得到的构形。给出了G2型Shi—Catalan构形的4种具体形式，通过将构形投影到射影平面计算构形中超平面交点个数的方法，证明了G2型Shi—Catalan构形的锥构形都是自由的。

英文摘要：

The Shi-Catalan arrangements of type G2 are multiarrangements in the 2-dimensional vector space, which are obtained by giving the same multiplicity to the hyperplanes in the same orbit in Weyl arrangements of type G2. Four concrete forms of Shi-Catalan arrangements of type G2 are given. By counting the intersections of hyperplanes in reflec- tion planes, we prove the conclusion that the cones over the Shi-Catalan arrangements of type G2 are all free.