Will a pentagon and square tessellate?

Answer 1

Depends on the type of it.

Answer 2

Oh, what a happy little question! Unfortunately, a pentagon and a square won't tessellate perfectly together because their angles and sides are different. But don't worry, there are other shapes that can tessellate beautifully and create wonderful patterns. Just keep exploring and painting your tessellation world with different shapes and colors!

Answer 3

Not a regular pentagon (equal sides) and square. But suppose the pentagons are shaped like a child's drawing of a house: a square with a triangle on top where the triangle is a right isosceles triangle (90, 45, 45 deg).

Align a line of these pentagons with their "rooves" facing up. Next put a second row of inverted pentagons on top - apex-to-apex. The holes left will be squares. So tessellate away.