Table 1 The coordinates of various types of tiles.

From: Digital distances on the 4-fold pentille tessellation

Tile Type

L

R

U

D

x

\(\equiv 1\pmod 4\)

\(\equiv 3\pmod 4\)

\(\equiv 2\pmod 4\)

\(\equiv 2\pmod 4\)

y

\(\equiv 2\pmod 4\)

\(\equiv 2\pmod 4\)

\(\equiv 3\pmod 4\)

\(\equiv 1\pmod 4\)

\(x+y\)

\(\equiv 7\pmod 8\)

\(\equiv 1\pmod 8\)

\(\equiv 5\pmod 8\)

\(\equiv 3\pmod 8\)

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