What are at least five formal facts about the featureless square?

Answer 1

1 It's a regular 2D shape

2 It belongs to the class of polygons known as quadrilaterals

3 Its 4 sides are equal in length

4 It has 4 interior right angles

5 It has 4 exterior angles that add up to 360 degrees

6 It has 2 perpendicular diagonals

7 It has an area which is the square of any of its sides

8 It has a perimeter which is the sum of its 4 sides

9 It can tessellate

10 It has 4 lines of symmetry

11 Its sides can be found given only the length of its diagonal

12 It can be the base of a pyramid

13 It can be tilted over to become a rhombus

14 It consists of 2 isosceles triangles

15 Its claim to fame is that the surface area of any shape bears its name

16 Its best friend 6 times over is the 3D cube

17 It was once thought that the earth was flat and square shaped

18 It was once known as the 4 corners of the world

19 It is to a cube as a circle is to a sphere

20 It then follows to be a square is not to be dull or featureless