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StevePentagons and hexagons do not tessellate together. In order for shapes to tessellate, the angles around a vertex must add up to 360 degrees. A regular pentagon has interior angles of 108 degrees, while a regular hexagon has interior angles of 120 degrees. Since 108 and 120 do not add up to 360, pentagons and hexagons cannot tessellate together seamlessly.
Well, honey, let me break it down for you. Pentagons and hexagons can't tessellate together because their angles don't add up to fit snugly next to each other. It's like trying to force a square peg into a round hole - just not gonna happen, sweetheart. Stick to matching shapes like hexagons with hexagons and leave the pentagons out of the party.
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How do hexagons and pentagons tessellate?
:L I Need Help With This Do Hexagons, Tesselate ?
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.
Why does a regular pentagon not tessellate the plane?
In order for a polygon to tessellate, the angles must add up to 360 degrees, to come full circle. Triangles have 60 degree angles, so 6 of them circle together. Squares have 90 degree angles, so 4 of them tessellate to a point. Hexagons can even tessellate, because the 120 degree angles add up to 360. But pentagons have 108 degree angles. Three of them add up to 324, only leaving 36 degrees left to close the circle.
