Infinitely many. The smallest side of a triangle can have infinitely many possible lengths.
A set of polygons might have such shapes in it. Certainly the set of all polygons does. So does the set of all polygons with fewer than 5 sides. Many other examples could be given. I am avoiding the use of the word "group", because it has a technical meaning in modern algebra.
An infinite number of shapes.
Tessera can be any shape. Often they are assumed to be polygonal but that is not a requirement. To see tessellation based on other shapes see the set of "Symmetry" artwork by MC Escher.
A square, a rectangle and a rhombus are three examples.
Three famous fractals are the Mandelbrot set, the Sierpiński triangle, and the Julia set. The Mandelbrot set is known for its intricate boundary and self-similar patterns, while the Sierpiński triangle demonstrates recursive division of a triangle into smaller triangles. The Julia set, related to the Mandelbrot set, exhibits complex and beautiful shapes depending on its parameters. Each of these fractals showcases the fascinating nature of infinite complexity arising from simple mathematical rules.
To make six sets using rhombuses, trapezoids, triangles, and hexagons, you would need a total of six sets. Each set would consist of one of each shape - a rhombus, a trapezoid, a triangle, and a hexagon. Therefore, you would need 6 sets x 4 shapes per set = 24 shapes in total to make six sets using these shapes.
You can make 12 different shapes (counting flips) with 5 squares set orthogonally (not diagonally). These are called pentominos.
The complement of the triangle in the plane.
A vortex is a spinning or whirling mass of fluid: liquid or gas. Typical examples are a whirlpool or whirlwind or hurricane. These are extended shapes and do not have a single set of coordinates.
To form a triangle, the lengths of the sides must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. For example, a set of lengths such as 3, 4, and 5 can create a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Other examples include lengths like 5, 6, and 10, which also satisfy the triangle inequality.
In the most common form of bowling in the US, ten pins are set up in a triangle.
by using a pool triangle rack