A Tessellationis the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions.
yes
no
A triangle... ...has three sides ...has three angles ...internal angles always add up to 180 degrees ...is a two-dimensional shape ...tessellates
Because all sides are the same length, and it is a regular shape. It tessellates, because if you lay squares of the same size adjacent to each other, they will leave no gaps.
Triangles, Squares and Hexagons always tessellate.
No, it will not tessellate.
yes
All sorts. For starters, no convex polygon with more than six sides tessellates, and various polyominoes of seven or more squares don't.
Not everything tessellates
Yes, squares can tessellate.
A rhombus tessellates.
no
A triangle... ...has three sides ...has three angles ...internal angles always add up to 180 degrees ...is a two-dimensional shape ...tessellates
Because all sides are the same length, and it is a regular shape. It tessellates, because if you lay squares of the same size adjacent to each other, they will leave no gaps.
Triangles, Squares and Hexagons always tessellate.
Select a shape that tessellates. Some shapes will tessellate by themselves, others will tessellate in pairs (octagons and squares), or larger groups. See the link for a flavour.
No, a hexagon is not a tessellation. Some hexagons can tessellate a plane, others will not.