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No - because they would leave a small, square-shaped space between each tile.

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14y ago

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It's possible to create a regular tessellation with a regular heptagon?

false


Which polygon will not tessellate a plane?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation.


Does an octagon always have perpendicular sides?

No! An Octagon that is not regular can have 8 lines that meet at any angle provided that they ultimately create an 8 sided enclosed shape.A regular Octagon, however, will always have pairs of sides that are perpendicular. In a regular Octagon the interior angles must all be equal and must sum to 1080 degrees (6 x 180 degrees). Accordingly the interior angles will all equal 135 degrees. As a consequence the exterior angles equal 45 degrees and since two exterior angles equal 90 degrees every side will be perpendicular to the sides that are adjacent but one in either direction. Likewise opposite sides (4 exterior angles apart) will be parallel.ThanksNoob headIf it is regular, yes. Each side of a regular octagon has two other sides that are perpendicular to it.


Why will a equilateral triangle tessellate?

Each angle in an equilateral triangle is 60 degrees. In order to create a regular tessellation of an area, we need for the angles of the polygons we are putting near each other to sum to 360 degrees. If you place six equilateral triangles so that all of them share a vertex, and each triangle is adjacent to two others, you get 60*6 = 360 degrees in that vertex. Please see related link for a demo of a triangular tessellation.


How do you divide an octagon into thirds?

To divide an octagon into thirds, you would first need to draw lines from each vertex (corner) to the opposite vertex, creating four smaller triangles within the octagon. Next, draw a line connecting the midpoints of two opposite sides of the octagon, creating a line of symmetry. This line will divide the octagon into two equal parts. Finally, draw another line parallel to the first line of symmetry, but one-third of the way from the first line to the opposite side of the octagon. This will divide the octagon into three equal parts, each representing one-third of the total area.