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  2. Arithmetic billiards - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_billiards

    This is a simple example of trajectory analysis used in dynamical billiards. Arithmetic billiards can be used to show how two numbers interact. Drawing squares within the rectangle of length and width of the two natural numbers allows a reader to learn more about the relationship between the two numbers.

  3. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals [4] (therefore only two sides are parallel). It is a special case of an antiparallelogram , and its angles are not right angles and not all equal, though opposite angles are equal.

  4. Corresponding sides and corresponding angles - Wikipedia

    en.wikipedia.org/wiki/Corresponding_sides_and...

    The corresponding angles as well as the corresponding sides are defined as appearing in the same sequence, so for example if in a polygon with the side sequence abcde and another with the corresponding side sequence vwxyz we have vertex angle a appearing between sides a and b then its corresponding vertex angle v must appear between sides v and w.

  5. Rectilinear polygon - Wikipedia

    en.wikipedia.org/wiki/Rectilinear_polygon

    The first direction is also true for rectangles, i.e.: If a rectangle s is maximal, then each pair of adjacent edges of s intersects the boundary of P. The second direction is not necessarily true: a rectangle can intersect the boundary of P in even 3 adjacent sides and still not be maximal as it can be stretched in the 4th side.

  6. List of two-dimensional geometric shapes - Wikipedia

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

    Download as PDF; Printable version; ... Digon – 2 sides; Triangle – 3 sides ... Hexagram – star polygon with 6 sides Star of David (example)

  7. Algebra tile - Wikipedia

    en.wikipedia.org/wiki/Algebra_tile

    Once the sides of the rectangle are represented by the algebra tiles, one would then try to figure out which algebra tiles would fill in the rectangle. For instance, if one had x×x, the only algebra tile that would complete the rectangle would be x 2 , which is the answer.

  8. Rep-tile - Wikipedia

    en.wikipedia.org/wiki/Rep-tile

    If a polyomino is rectifiable, that is, able to tile a rectangle, then it will also be a rep-tile, because the rectangle will have an integer side length ratio and will thus tile a square. This can be seen in the octominoes, which are created from eight squares. Two copies of some octominoes will tile a square; therefore these octominoes are ...

  9. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    The most common example is the pentagram, which has the same vertices as a pentagon, but connects alternating vertices. For an n-sided star polygon, the Schläfli symbol is modified to indicate the density or "starriness" m of the polygon, as {n/m}. If m is 2, for example, then every second point is

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