Pythagorean Tiling or Tesselation Theory

A) Only polygons with an odd number of sides can tessellate a plane.

B) Only equilateral triangles, squares, and regular hexagons can tessellate a plane.

C) Any regular polygon can tessellate a plane if scaled properly.

D) Regular polygons cannot tessellate a plane.

A) The sum of the interior angles of the polygon must equal 180∘.

B) The sum of the interior angles meeting at a vertex must equal 360∘.

C) The polygon must have at least 8 sides.

D) The sides of the polygons must all be of different lengths.

A) Squares and pentagons.

B) Hexagons and equilateral triangles.

C) Equilateral triangles and heptagons.

D) Octagons and hexagons.

A) The interior angle of the polygon must divide 360∘ evenly.

B) The interior angle divided by 60∘ must be a whole number.

C) The sum of the interior angles of the polygon must equal 360∘

D) The polygon must have more than four sides.