H. Rao

activity

20112023

most citedTopological Structure of Fractal Squares

28 citations · 59 across the 20 of their papers we have counts for

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Showing math.COShow all

3 papers · 1 filter

math.CO2020★ 2 cited

Dissecting a square into congruent polygons

Hui Rao, Lei Ren, Yang Wang

We study the dissection of a square into congruent convex polygons. Yuan \emph{et al.} [Dissecting the square into five congruent parts, Discrete Math. \textbf{339} (2016) 288-298]…

math.CO2013★ 1 cited

Classification of tile digit sets as product-forms

Chun-Kit Lai, Ka-Sing Lau, Hui Rao

Let $A$ be an expanding matrix on $R^{s}$ with integral entries. A fundamental question in the fractal tiling theory is to understand the structure of the digit set ${\mathcal…

math.CO2011★ 1 cited

Spectral structure of digit sets of self-similar tiles on $B bb R^{1}$

Chun-Kit Lai, Ka-Sing Lau, Hui Rao

We study the structure of the digit sets $D$ for the integral self-similar tiles $T (b, D)$ (we call such $D$ a {\it tile digit set} with respect to…

Dissecting a square into congruent polygons

Classification of tile digit sets as product-forms

Spectral structure of digit sets of self-similar tiles on BbbR1

Spectral structure of digit sets of self-similar tiles on $B bb R^{1}$