The statement "There are only three regular polygons that can make a regular tessellation" is false. A regular tessellation is a tiling of the plane with one type of regular polygon meeting at each vertex.
1. In order for a regular polygon to create a regular tessellation, the interior angles of the polygon must be a factor of 360 degrees. This condition is essential for the polygons to fit together without any gaps or overlaps.
2. The three regular polygons that can form regular tessellations are the equilateral triangle (60 degrees interior angle), square (90 degrees interior angle), and hexagon (120 degrees interior angle). These polygons satisfy the condition mentioned above.
3. However, it's important to note that there are other regular polygons that can also form regular tessellations. For example, an octagon (135 degrees interior angle) can create a regular tessellation as well.
Therefore, the statement that only three regular polygons can make a regular tessellation is false. Multiple regular polygons, with interior angles that are factors of 360 degrees, can form regular tessellations.
