“…In [14], we see that Br m ′ (V) includes all types of points except for spherical points (type 3a) which are interior points of V and that there are relations between our discrete complexes C m constructed from V and Br m ′ (V) only for the pairs (m, m ′ ) = (6, 18), (6,26), (18,6), (26,6) [14]. Those relations indicate that boundary points of Br m ′ (V) do not have always semi-spherical stars, but also the other stars such as one-, two-and three-dimensional stars except for spherical stars depending on their local point configurations.…”