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Q: Will a regular heptagon and equilateral triangle tile a plane?

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No

heptagon and an equilateral triangle

Equilateral triangle, square and regular hexagon.

Equilateral triangle, square and regular hexagon.

yes it does

No.

a plane triangle is a normal triangle, like the isosceles, right angled, equilateral and scalene triangle.

It is simply a closed seven-sided plane figure, bounded by seven straight lines, each of the same length. There is no requirement for the angles to be the same - in fact the shape can be concave.

No, never in plane geometry.

No.

If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.

Yes

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