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math.GN2022
The connectedness of Sierpiński sponges with rotational and reflectional components and associated graph-directed systems
Huo-Jun Ruan, Jian-Ci Xiao
We provide two methods to characterize the connectedness of all -dimensional generalized Sierpiński sponges whose corresponding IFSs are allowed to have rotational and reflectio…
math.GN2022★ 1 cited
On the existence of cut points of connected generalized Sierpinski carpets
Huo-Jun Ruan, Yang Wang, Jian-Ci Xiao
In a previous work joint with Dai and Luo, we show that a connected generalized Sierpiński carpet (or shortly a GSC) has cut points if and only if the associated -th Hata graph…