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Do pentagons and hexagons tessellate together?
Oh, dude, like, totally! Yeah, pentagons and hexagons can totally tessellate together. It's like a math party where they fit together perfectly without any gaps or overlaps. So, yeah, they're like the best math buddies for tessellation.
Can a regular octagon be tessellated?
no it cant be unless you use pentagons and octagons like on a soccer ball * * * * * That is an unbelievably rubbish answer! Tessellation - unless otherwise specified - refers to covering a 2-d surface, not the surface of a sphere. Normal soccer balls do not have pentagons and octagons but pentagons and hexagons.
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.
Why do shapes tessellate?
Shapes tessellate to fit around an interior angle. They also tessellate because they are regular polygons; non-regular polygons cannot tessellate. * * * * * Not correct. All triangles and quadrilaterals will tessellate, whether regular or irregular. Contrary to the above answer, a regular pentagon will not tessellate but there are 14 different irregular pentagons which will tessellate (the last was discovered in 2015). Three convex hexagons will do so as well. No polygon of 7 or more sides will tessellate - whether they are regular (contrary to the above answer) or irregular.
How can a hexagon be translated into a tessellation?
A regular hexagon and 3 classes of convex hexagons, plus concave hexagons will tessellate.
