一家新型制砖公司正在探索使用正六边形和正八边形来制作瓷砖。如果这些正多边形能够无缝隙、无重叠地铺满地面，该公司就会将其制作成瓷砖。 解释该公司是否会使用：

1. Find the interior angle of a regular hexagon.

For a regular hexagon, $n=6$.

Interior angle of a regular $n$-gon:
$\frac{(n-2)\times 180^\circ}{n}$

$\frac{(6-2)\times 180^\circ}{6}=\frac{720^\circ}{6}=120^\circ$

2. Check whether the interior angles fit exactly around a point.

Angles around a point add to $360^\circ$.

$\frac{360^\circ}{120^\circ}=3$

Since this is a whole number, $3$ regular hexagons can meet at a point with no gaps and no overlaps.

1. Find the interior angle of a regular octagon.

For a regular octagon, $n=8$.

Interior angle
$=\frac{(8-2)\times 180^\circ}{8}=135^\circ.$

2. Check whether the octagons fit exactly around a point.

Angles around a point add to $360^\circ$.

$360^\circ \div 135^\circ = 2.666\ldots$

This is not a whole number, so a whole number of regular octagons cannot meet exactly around a point.