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A paper fortune teller may be constructed by the steps shown in the illustration below: [1] [2] The corners of a sheet of paper are folded up to meet the opposite sides and (if the paper is not already square) the top is cut off, making a square sheet with diagonal creases.
The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [1] Such shapes include polygons, which may be concave, shapes with holes, and collections of such shapes (i.e. the regions need not be connected ).
Illustration of a simple house in Flatland. Mathematical fiction is a genre of creative fictional work in which mathematics and mathematicians play important roles. The form and the medium of the works are not important.
The fold-and-cut problem asks what shapes can be obtained by folding a piece of paper flat, and making a single straight complete cut. The solution, known as the fold-and-cut theorem, states that any shape with straight sides can be obtained. A practical problem is how to fold a map so that it may be manipulated with minimal effort or movements.
Animation of the missing square puzzle, showing the two arrangements of the pieces and the "missing" square Both "total triangles" are in a perfect 13×5 grid; and both the "component triangles", the blue in a 5×2 grid and the red in an 8×3 grid.
Octavo metrics compared to the folio and quarto. Octavo, a Latin word meaning "in eighth" or "for the eighth time", [1] (abbreviated 8vo, 8º, or In-8) is a technical term describing the format of a book, which refers to the size of leaves produced from folding a full sheet of paper on which multiple pages of text were printed to form the individual sections (or gatherings) of a book.
The title-page of the Shakespeare First Folio, 1623 Single folio from a large Qur'an, North Africa, 8th c. (Khalili Collection). The term "folio" (from Latin folium 'leaf' [1]) has three interconnected but distinct meanings in the world of books and printing: first, it is a term for a common method of arranging sheets of paper into book form, folding the sheet only once, and a term for a book ...
A comparison of the A4 and Foolscap folio papersize. Foolscap folio, commonly contracted to foolscap or cap or folio and in short FC, is paper cut to the size of 8.5 × 13.5 in (216 × 343 mm) for printing or to 8 × 13 in (203 × 330 mm) for "normal" writing paper (foolscap). [1]