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2. Square - Wikipedia

   en.wikipedia.org/wiki/Square

   The square has Dih 4 symmetry, order 8. There are 2 dihedral subgroups: Dih 2, Dih 1, and 3 cyclic subgroups: Z 4, Z 2, and Z 1. A square is a special case of many lower symmetry quadrilaterals: A rectangle with two adjacent equal sides; A quadrilateral with four equal sides and four right angles; A parallelogram with one right angle and two ...

3. Square packing - Wikipedia

   en.wikipedia.org/wiki/Square_packing

   Square packing in a square is the problem of determining the maximum number of unit squares (squares of side length one) that can be packed inside a larger square of side length . If is an integer, the answer is but the precise – or even asymptotic – amount of unfilled space for an arbitrary non-integer is an open question. [1] The smallest ...

4. Pattern Blocks - Wikipedia

   en.wikipedia.org/wiki/Pattern_blocks

   Pattern Blocks. Pattern Blocks are a set of mathematical manipulatives developed in the 1960s. The six shapes are both a play resource and a tool for learning in mathematics, which serve to develop spatial reasoning skills that are fundamental to the learning of mathematics. Among other things, they allow children to see how shapes can be ...

5. Hexomino - Wikipedia

   en.wikipedia.org/wiki/Hexomino

   Hexomino. A hexomino (or 6-omino) is a polyomino of order 6; that is, a polygon in the plane made of 6 equal-sized squares connected edge to edge. [1] The name of this type of figure is formed with the prefix hex (a)-. When rotations and reflections are not considered to be distinct shapes, there are 35 different free hexominoes.

6. Mathematics of paper folding - Wikipedia

   en.wikipedia.org/wiki/Mathematics_of_paper_folding

   Mathematics of paper folding. Map folding for a 2×2 grid of squares: there are eight different ways to fold such a map along its creases. The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened ...

7. Polyomino - Wikipedia

   en.wikipedia.org/wiki/Polyomino

   Polyomino. The 18 one-sided pentominoes, including 6 mirrored pairs. A polyomino is a plane geometric figure formed by joining one or more equal squares edge to edge. It is a polyform whose cells are squares. It may be regarded as a finite subset of the regular square tiling. Polyominoes have been used in popular puzzles since at least 1907 ...