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Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
No.
The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees.
So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
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How many regular hexagons meet at a vertex to form a regular tessellation?
3
Why can a regular hexagon not be the face of a platonic solid?
Three regular hexagons meeting at a vertex would form a tessellation. So they would form a plane not a solid.
What is the difference in a regular and semi-regular tessellation?
A regular tessellation is based on multiple copies of the same regular polygon. A semi-regular tessellation uses copies of two (or more) regular polygons. In the latter case, at each vertex the various polygons are arrayed in the same order (or its mirror image).
Why doesn't a semi regular tessellation with vertex configuration 346 work?
The question cannot be answered because it is based on the incorrect assertion that a semi-regular tessellation does not work. Sorry, but it does work!
How do you name a tessellation?
Tessellations are named based on the number of polygons located at a vertex. For example: A regular tessellation, made from only triangles is named 3.3.3
How many regular hexagons meet a vertex to form a regular tessellation?
3
How many regular hexagons meet at a vertex to form a regular tessellation?
3
Why can a regular hexagon not be the face of a platonic solid?
Three regular hexagons meeting at a vertex would form a tessellation. So they would form a plane not a solid.
Does a semi-regular tessellation have a vertex of 360 degress?
Yes. Regular or irregular, the angles at vertices must sum to 360 deg otherwise you will have gaps in the tessellation.
What is a semi regular tessellation?
Semi-regular tessellation is a tessellation of the plane by 2 or more different convex regular polygons. A semi-regular tessellation combines two or more regular polygons. Each semi-regular tessellation has a tupelo, which designates what kind of regular polygon is used.
What is the difference in a regular and semi-regular tessellation?
A regular tessellation is based on multiple copies of the same regular polygon. A semi-regular tessellation uses copies of two (or more) regular polygons. In the latter case, at each vertex the various polygons are arrayed in the same order (or its mirror image).
Why doesn't a semi regular tessellation with vertex configuration 346 work?
The question cannot be answered because it is based on the incorrect assertion that a semi-regular tessellation does not work. Sorry, but it does work!
How do you name a tessellation?
Tessellations are named based on the number of polygons located at a vertex. For example: A regular tessellation, made from only triangles is named 3.3.3
What is a tessellation vertex?
I don't know what a tessellation vertex is but I will try to Answer it I think it means the endpoint of a vertex which is also called vertices,which is the pointy ends of the vertex.
Where are the lines of symmetry for a pentagon?
In a regular pentagon, the lines of symmetry are drawn from each vertex to the midpoint of the edge directly opposite the vertex, so there are five in all.
What describes a semi regular tessellation?
A semi-regular tessellation is covering a plane surface with two or more different regular polygons, all of which have sides of the same length. In addition, each polygon vertex is surrounded by polygons in the same order.
What describes a semi-regular tessellation?
A semi-regular tessellation is covering a plane surface with two or more different regular polygons, all of which have sides of the same length. In addition, each polygon vertex is surrounded by polygons in the same order.
