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  2. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    A true 13×5 triangle cannot be created from the given component parts. The four figures (the yellow, red, blue and green shapes) total 32 units of area. The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = ⁠ 13×5 / 2 ⁠ = 32.5 units.

  3. Rule of thirds - Wikipedia

    en.wikipedia.org/wiki/Rule_of_thirds

    The horizon in the photograph is on the horizontal line dividing the lower third of the photo from the upper two-thirds. The tree is at the intersection of two lines, sometimes called a power point [1] or a crash point. [2] The rule of thirds is a rule of thumb for composing visual art such as designs, films, paintings, and photographs. [3]

  4. 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.

  5. Dividing a square into similar rectangles - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_square_into...

    However, there are three distinct ways of partitioning a square into three similar rectangles: [1] [2] The trivial solution given by three congruent rectangles with aspect ratio 3:1. The solution in which two of the three rectangles are congruent and the third one has twice the side length of the other two, where the rectangles have aspect ...

  6. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The second fraction, three quarters, is three times as large as one quarter, so two thirds of three quarters is three times as large as two thirds of one quarter. Thus two thirds times three quarters is six twelfths. A short cut for multiplying fractions is called cancellation. Effectively the answer is reduced to lowest terms during ...

  7. Division of the field - Wikipedia

    en.wikipedia.org/wiki/Division_of_the_field

    party per cross or quarterly (divided into four quarters) party per chevron (after the manner of a chevron) party per pall (divided into three parts in a Y shape) (In the above "left" and "right" are from the viewer's perspective, whereas the heraldic terms "sinister" and "dexter" are from the perspective of the person carrying the shield.)

  8. Zig Zag Girl - Wikipedia

    en.wikipedia.org/wiki/Zig_Zag_Girl

    The Zig-Zag Girl illusion is a stage illusion akin to the more famous sawing a woman in half illusion. In the Zig-Zag illusion, a magician divides an assistant into thirds, only to have them emerge from the illusion at the end of the performance completely unharmed. It was invented in 1965 by magician Robert Harbin. [1] [2]

  9. Half-space (geometry) - Wikipedia

    en.wikipedia.org/wiki/Half-space_(geometry)

    A half-space can be either open or closed. An open half-space is either of the two open sets produced by the subtraction of a hyperplane from the affine space. A closed half-space is the union of an open half-space and the hyperplane that defines it. The open (closed) upper half-space is the half-space of all (x 1, x 2, ..., x n) such that x n > 0