Can you make every edge meet another edge?
Yes — squares tessellate. Their edges can meet exactly, leaving no gaps or overlaps.
What happens when you turn some triangles upside down?
Yes — equilateral triangles tessellate. Turning alternate triangles makes the edges fit perfectly.
Do they remind you of anything you have seen in nature?
Yes — regular hexagons tessellate. Three corners can meet neatly around one point, like a honeycomb.
Push them as close together as you can. What is left between them?
No — circles do not tessellate by themselves. Small curved gaps remain between neighbouring circles.
Can you remove all the gaps, even after turning them?
Regular pentagons do not tessellate by themselves. However, some non-regular pentagons can tessellate.