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2. Dividing a circle into areas - Wikipedia

   en.wikipedia.org/wiki/Dividing_a_circle_into_areas

   The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

3. Circle - Wikipedia

   en.wikipedia.org/wiki/Circle

   The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T. All circles are similar. [12] A circle circumference and radius are ...

4. List of two-dimensional geometric shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_two-dimensional...

   This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

5. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   Peak, an (n-3)-dimensional element For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak. Vertex figure : not itself an element of a polytope, but a diagram showing how the elements meet.

6. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   The entire fraction may be expressed as a single composition, in which case it is hyphenated, or as a number of fractions with a numerator of one, in which case they are not. (For example, two-fifths is the fraction ⁠ 2 / 5 ⁠ and two fifths is the same fraction understood as 2 instances of ⁠ 1 / 5 ⁠.) Fractions should always be ...

7. Roundness - Wikipedia

   en.wikipedia.org/wiki/Roundness

   A common definition used in digital image processing (image analysis) for characterizing 2-D shapes is: Roundness = ⁠ Perimeter 2 / 4 π × Area ⁠. This ratio will be 1 for a circle and greater than 1 for non-circular shapes. Another definition is the inverse of that: Roundness = ⁠ 4 π × Area / Perimeter 2 ⁠,

8. Circle packing - Wikipedia

   en.wikipedia.org/wiki/Circle_packing

   While the circle has a relatively low maximum packing density, it does not have the lowest possible, even among centrally-symmetric convex shapes: the smoothed octagon has a packing density of about 0.902414, the smallest known for centrally-symmetric convex shapes and conjectured to be the smallest possible. [3] (Packing densities of concave ...

9. Math circle - Wikipedia

   en.wikipedia.org/wiki/Math_circle

   A math circle is an extracurricular activity intended to enrich students' understanding of mathematics. The concept of math circle came into being in the erstwhile USSR and Bulgaria, around 1907, with the very successful mission to "discover future mathematicians and scientists and to train them from the earliest possible age". [1]