At 4x4 table, every square in the middle is surrounded by 8 other squares,
every square at the sides is surrounded by 5 other squares,
and every square at the corners is surrounded by 3 other squares.

3 5 5 3
5 8 8 5
5 8 8 5
3 5 5 3

Create a geometry structure so every perfect square is exactly surrounded by 7 other squares.

Note : The squares are equal size

  • $\begingroup$ squares of equal size? $\endgroup$ – JMP Sep 30 '16 at 5:02
  • $\begingroup$ yes, perfect squares of equal size. $\endgroup$ – Jamal Senjaya Sep 30 '16 at 5:03

Take a


and divide each of its faces in half twice to make four squares. Each square touches

the three other squares on the same face, and two squares on each adjacent face

for a total of seven.

Alternate answer:

Take a 3x3 grid of squares and

remove the center square.


tile the plane

with the resulting shape.

Each square on the edge of the 3x3 tile touches

four squares in the same tile, and three squares in the adjacent tile.

Each square in the corner of the 3x3 tile touches

two squares in the same tile, two squares in each of the edge-adjacent tiles, and one square in the diagonally adjacent tile.

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