  Z. Wen and J. Wu introduced the notion of homogeneous perfect sets as a
generalization of Cantor type sets and determined their exact Hausdorff
dimension based on the length of their fundamental intervals and the gaps
between them. In this paper, we considered the minimality of the homogeneous
perfect sets with Hausdorff dimension 1 and proved they are 1-dimensional
quasisymmetrically minimal under some conditions.
