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Why do all pentominoes tessellate?
they all tessellate because they all fit together
Do all shapes tessellate?
No not all shapes tessellate.
Can irregular polygons tessellate?
Some can, but not all. For example, rhombi, rhomboids, oblongs, and isosceles triangles can tessellate; however, most irregular polygons cannot. * * * * * True, but an incomplete answer. All triangles and quadrilaterals, whether regular or irregular, will tessellate. No regular pentagon will tessellate but (as of 2016), there are 15 irregular pentagons which will tessellate. There are 3 convex hexagons, (regular and 2 irregular) which will tessellate. No polygon with 7 or more sides, even if it is regular, will tessellate.
What does pentominoes mean?
Pentominoes are 12 shapes made up of 5 squares !If you rotate or move them they do NOT count as a different pentominoe!
How many 3d pentominoes are there in total?
There are 29 distinct pentominoes in three dimensions. 5 pairs of them are mirror images and can be rotated in 4-space to be considered the same. There is one 4D pentomino that cannot be built in 3D for a total of 24 4D pentominoes.
