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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.
"Patterns" is the eighth single by British rock band, Small Faces, first released on Decca Records in 1967. It was the first of two unauthorised singles released in the United Kingdom (the second being Afterglow (of Your Love) in 1969). It was written by the Small Faces primary songwriters Steve Marriott and Ronnie Lane. It became one of few ...
The tangram (Chinese: 七巧板; pinyin: qīqiǎobǎn; lit. 'seven boards of skill') is a dissection puzzle consisting of seven flat polygons, called tans, which are put together to form shapes. The objective is to replicate a pattern (given only an outline) generally found in a puzzle book using all seven pieces without overlap.
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The tesseract is one of 6 convex regular 4-polytopes. In mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope.They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions.
The topological polyhedral net can be cut from two rows of a square tiling (with vertex configuration 4.4.4.4): a band of n squares, each attached to a crossed rectangle. An n -gonal toroidal prism has 2 n vertices, 2 n faces: n squares and n crossed rectangles, and 4 n edges.
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The number of vertices in the layers of this projection is 1 4 6 4 1—the fourth row in Pascal's triangle. The cell-first parallel projection of the tesseract into three-dimensional space has a cubical envelope. The nearest and farthest cells are projected onto the cube, and the remaining six cells are projected onto the six square faces of ...