Math and Arithmetic
Geometry

# Is an isosceles triangle and parallelogram a semi regular tessellation?

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It depends. Strictly speaking, a semi-regular tessellation uses two (or more) regular polygons and, since neither an isosceles triangle nor a parallelogram is regular, it cannot be a semi-regular tessellation. However, a less strict definition allows non-regular components.

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## Related Questions There is no such thing as a regular isosceles triangle. The only regular triangle is an equilateral triangle. Having said that, any triangle will produce regular tessellation. The only shapes which will make a regular tessellation are:an equilateral trianglea squarea regular hexagon. An isosceles triangle has two equal sides and one that isn't. A regular triangle has three equal sides. Circle, ellipse, rectangle, square, parallelogram, rhombus, trapezoid, isosceles triangle, equilateral triangle, any regular polygon.  A regular polygon is one which has all equal sides. But in an isosceles triangle, only 2 sides are equal. The third side has a different measure.Thus an isosceles acute triangle is not a regular polygon.  regular hexagon, square, equilateral triangle...apex Regular Hexagon, Square, and Equilateral Triangle. (Apex) The only shapes which can be used for a regular tessellation are:An equilateral triangle,A squareA regular hexagon.There are also non-regular polygons as well as shapes which are not polygons which can tessellate polygon. It can be a triangle, square or hexagon. Any other tessellation requires irregular polygons (sides of unequal lengths) or more than one shape. Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon. A regular tessellation or semi-regular tessellation or none. If by regular, you're referring to a regular polygon which has all sides equal length, and all angles equal, then an equilateral triangle is a regular triangle. If you draw a scalene triangle or an isosceles triangle then it will not be equilateral. Polygon Regular polygon Vertex Triangle Equilateral triangle Isosceles triangle Scalene triangle Acute triangle Obtuse triangle Right triangle Quadrilateral Rectangle Square Parallelogram Rhombus Trapezoid Pentagon Hexagon Heptagon Octagon Nonagon Decagon Circle Convex A regular polygon is a shape in which all angles are equal. An isosceles triangle has two equal sides, thus two equal angles, but the other side/angle differs. Therefore an isosceles triangle is not a regular polygon. An isosceles triangle is not a regular triangle because it has 1 side that doesn't equal the other 2. For it to be a regular triangle it will need to have all sides the same length. Here are the three types of triangle classification: In a equilateral triangle or also known as regular triangle "all" sides must have the same length. In an isosceles triangle "at least" two sides must have the same length. In an scalene triangle all sides must be of different lengths Therefor it can be said that a regular triangle is a type of isosceles triangle since it has at least 2 sides of the same length. But remember if one side changes length and 2 remain the same it becomes an isosceles, if all sides are of different lengths then it becomes scalene. A regular triangle, quadrilateral (i.e., square) and hexagon may be used. As for example a regular equilateral triangle will tessellate leaving no gaps or overlaps   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. A regular tessellation uses only one regular polygon. A semi-regular tessellation is based on two or more regular polygons. A regular tessellation is based on only one regular polygonal shape. A semi-regular tessellation is based on two or more regular polygons. An isosceles triangle is not a regular polygon because it has only 2 equal sides but an equilateral triangle is a regular polygon because it has 3 equal sides and 3 equal angles.

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