Shapes that fit perfectly together are called a tessellation.
Tessellations
Shapes when tessellated fit neatly together with no overlaps or gaps
This is a pattern made up of identical shapes, they must fit together without any gaps and the shapes must not overlap. Multiple regular shapes are squares, triangles, hexagons and dodecagons
A simple tessellation is a pattern made of identical shapes. The shapes fit together without any gaps and do not overlap. An example of a simple tessellation would be a tiled floor.
It has the most sides (rather than squares or triangles), that can fit together in a matrix, without gaps.
In general, if they fit together without gaps or overlaps at the centre, the resulting shape will be a convex nonagon. If, in addition, the three diamond shapes are congruent then the shape is a regular hexagon.
Interlocking shapes are geometric shapes that fit together without any gaps or overlaps. They are commonly used in puzzles and games as a way to create intricate designs or structures by fitting the pieces together in a specific way. Interlocking shapes can be found in various forms, such as jigsaw puzzles, tangrams, and architectural designs.
Some shapes tile because they fit together.
"Tessellated" means to fit together closely, typically in a repeated pattern to cover a surface without any gaps or overlaps. It is often used in reference to geometric shapes or patterns.
Tessellation
No * * * * * Yes it can: and in many ways. One possible way is to add a right isosceles triangle to each side of the square (with the hypotenuse along the square) to make it a larger square!
Tessellation is repeating a pattern over and over and filling an area with no overlaps and no gaps. Some shapes can't do this, because they don't fit with themselves without leaving big gaps between the parts.