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Regular pentagons will not tessellate but there are 15 classes of convex pentagons – the latest discovered in 2015 – which will tessellate.
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∙ 8y ago
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Which polygons do not tessellate?
Pentagons, decagons, and octagons will not tessellate. In order to create a tessellation, the sum of the angles at a point must be 360.
Can a pentagon and rectangle tessellate?
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Is it possible to create a tessellation using only triangles?
Yes
How many pentagons tessellate to make a 3d shape?
Tessellation is covering a 2-d surface. Tessellation and making a 3-d shape are not compatible processes. 12 regular pentagons will form a dodecahedron.
Is it possible to create a tessellation using only regular hexagons?
Yes
Which polygons do not tessellate?
Pentagons, decagons, and octagons will not tessellate. In order to create a tessellation, the sum of the angles at a point must be 360.
Can a pentagon and rectangle tessellate?
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Its possible to create a regular tessellation with a regular pentagon?
No it is not.
Is it possible to create a tessellation using only triangles?
Yes
How many pentagons tessellate to make a 3d shape?
Tessellation is covering a 2-d surface. Tessellation and making a 3-d shape are not compatible processes. 12 regular pentagons will form a dodecahedron.
It's possible to create a regular tessellation with a regular pentagon?
false
Is it possible to create a regular tessellation with a regular octagon and an equilateral triangle?
yes
Is it possible to create a tessellation using only regular hexagons?
Yes
What is the number of pentagons and hexagons on an official soccer ball?
Soccer balls have different patterns, but if you have both regular pentagons and regular hexagons it must have 12 pentagons and 20 hexagons.
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.
Is it possible to create a regular tessellation with a regular polygon?
Inly if the polygon has 3, 4 or 6 sides.
It's possible to create a regular tessellation with a regular heptagon?
false
