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Stick Puzzle
Stick puzzles are a type of combination puzzle that uses multiple sticks or 'polysticks' (which can be one-dimensional objects) to assemble two- or three-dimensional configurations. Polysticks are configurations of joined or unjoined thin (ideally one-dimensional) 'sticks'. The sticks may be; line segments on paper, matchsticks, pieces of straw, wire or similar. A special class of stick puzzles are 'matchstick puzzles', where all parts used are sticks (usually matchsticks) rather than polysticks. Some trick puzzles can only be solved when one assumes that the sticks actually have measurements in more than one dimension. Three-dimensional arrangements like tetrastix can also be made from matchsticks. Examples of stick puzzles * Matchstick puzzles * Burr puzzle * Hexastix Hexastix is a symmetric arrangement of non-intersecting prisms, that when extended infinitely, fill exactly 3/4 of space. The prisms in a hexastix arrangement are all parallel to 4 directions on the body-centere ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matchstick Puzzle
Matchstick puzzles are rearrangement puzzles in which a number of matchsticks are arranged as squares, rectangles or triangles. The problem to solve is usually formulated as: "move ''n'' matchsticks to make ''m'' squares, triangles, or rectangles". Some match stick problems are solved with planar topological graphs. Other matchstick puzzles require lateral thinking Lateral thinking is a manner of solving problems using an indirect and creative approach via reasoning that is not immediately obvious. It involves ideas that may not be obtainable using only traditional step-by-step logic. The term was first ... and are not just about making geometric shapes. Different three-dimensional matchstick arrangements are also possible as puzzles held together with friction. References {{puzzle-stub Puzzles ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matchstick Puzzle
Matchstick puzzles are rearrangement puzzles in which a number of matchsticks are arranged as squares, rectangles or triangles. The problem to solve is usually formulated as: "move ''n'' matchsticks to make ''m'' squares, triangles, or rectangles". Some match stick problems are solved with planar topological graphs. Other matchstick puzzles require lateral thinking Lateral thinking is a manner of solving problems using an indirect and creative approach via reasoning that is not immediately obvious. It involves ideas that may not be obtainable using only traditional step-by-step logic. The term was first ... and are not just about making geometric shapes. Different three-dimensional matchstick arrangements are also possible as puzzles held together with friction. References {{puzzle-stub Puzzles ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combination Puzzle
A combination puzzle, also known as a sequential move puzzle, is a puzzle which consists of a set of pieces which can be manipulated into different combinations by a group of operations. Many such puzzles are mechanical puzzles of polyhedral shape, consisting of multiple layers of pieces along each axis which can rotate independently of each other. Collectively known as twisty puzzles, the archetype of this kind of puzzle is the Rubik's Cube. Each rotating side is usually marked with different colours, intended to be scrambled, then 'solved' by a sequence of moves that sort the facets by colour. As a generalisation, combination puzzles also include mathematically defined examples that have not been, or are impossible to, physically construct. Description A combination puzzle is solved by achieving a particular combination starting from a random (scrambled) combination. Often, the solution is required to be some recognisable pattern such as "all like colours together" or "all ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polystick
In recreational mathematics, a polystick (or polyedge) is a polyform with a line segment (a 'stick') as the basic shape. A polystick is a connected set of segments in a regular grid. A square polystick is a connected subset of a regular square grid. A triangular polystick is a connected subset of a regular triangular grid. Polysticks are classified according to how many line segments they contain. The name "polystick" seems to have been first coined by Brian R. Barwell. The names "polytrig" and "polytwigs" has been proposed by David Goodger to simplify the phrases "triangular-grid polysticks" and "hexagonal-grid polysticks," respectively. Colin F. Brown has used an earlier term "polycules" for the hexagonal-grid polysticks due to their appearance resembling the spicules of sea sponges. There is no standard term for line segments built on other regular tilings, an unstructured grid, or a simple connected graph, but both "polynema" and "polyedge" have been proposed. When refl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Line Segment
In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as \overline). Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (geometry), edge (of that polygon or polyhedron) if they are adjacent vertices, or a diagonal. When the end points both lie on a curve (such as a circle), a line segment is called a chord (geometry), chord (of that curve). In real or complex vector spa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tetrastix
In geometry, it is possible to fill 3/4 of the volume of three-dimensional Euclidean space by three sets of infinitely-long square prisms aligned with the three coordinate axes, leaving cubical voids; John Horton Conway, Heidi Burgiel and Chaim Goodman-Strauss have named this structure tetrastix. Applications The motivation for some of the early studies of this structure was for its applications in the crystallography of crystal structures formed by rod-shaped molecules. Shrinking the square cross-sections of the prisms slightly causes the remaining space, consisting of the cubical voids, to become linked up into a single polyhedral set, bounded by axis-parallel faces. Polyhedra constructed in this way from finitely many prisms provide examples of axis-parallel polyhedra with n vertices and faces that require \Omega(n^) pieces when subdivided into convex pieces; they have been called Thurston polyhedra, after William Thurston, who suggested using these shapes for this lower bound ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burr Puzzle
A burr puzzle is an interlocking puzzle consisting of notched sticks, combined to make one three-dimensional, usually symmetrical unit. These puzzles are traditionally made of wood, but versions made of plastic or metal can also be found. Quality burr puzzles are usually precision-made for easy sliding and accurate fitting of the pieces. In recent years the definition of "burr" is expanding, as puzzle designers use this name for puzzles not necessarily of stick-based pieces. History The term "burr" is first mentioned in a 1928 book by Edwin Wyatt, but the text implies that it was commonly used before. The term is attributed to the finished shape of many of these puzzles, resembling a seed burr. The origin of burr puzzles is unknown. The first known record appears in a 1698 engraving used as a title page of Chambers's Cyclopaedia. Later records can be found in German catalogs from the late 18th century and early 19th century. There are claims of the burr being a Chinese inventio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hexastix
Hexastix is a symmetric arrangement of non-intersecting prisms, that when extended infinitely, fill exactly 3/4 of space. The prisms in a hexastix arrangement are all parallel to 4 directions on the body-centered cubic lattice. In '' The Symmetries of Things'', John Horton Conway, Heidi Burgiel, and Chaim Goodman-Strauss named this structure hexastix. Applications The hexastix arrangement has found use in mathematics, crystallography, reticular chemistry, puzzle design, and art. Michael O'Keeffe (chemist) and associates define this structure as one of the 6 possible invariant cubic rod packing arrangements. O’Keefe classifies this arrangement as the ''Γ'' or Garnet rod packing, and describes it as the densest possible cubic rod packing. Rod packings are used to classify chains of atoms in crystal structures, and in the develop of materials like metal–organic frameworks. It has been proposed that stratum corneum’s structure could be modeled using the hexastix cylinder packi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stick Bomb
A stick bomb is a (mechanical) spring-loaded device constructed out of flat sticks woven together under a bending moment. Other names for stick bombs include Chinese stick puzzles, Cobra wave, and frame bombs. Stick bombs are created for fun and as art, not for any practical use. History Simple stick bombs made out of four, five, or six sticks have been known to schoolchildren for ages. They were often known as "Chinese stick puzzles", which indicates a possible origin for the devices. Tarnai (1989) describes several designs, including those with indefinite size which he credits to Ruina. Ruina claims to have invented the "infinite popsicle-stick bomb" in 1971. In the early 1980s, Tim Fort, known professionally as the Kinetic King, independently invented the multi-celled stick bomb. He also invented all of the stick-bomb weaves currently used including the ortho weave, the diamond weave, and the slant weave; using tongue depressors instead of Popsicle sticks is also credited ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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