Rubik's Triamid
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Rubik's Triamid
The Rubik's Triamid is a mechanical puzzle invented by Ernő Rubik and released in 1990 by Matchbox. The puzzle was patented in Hungary in 1991. It was re-released in 2017 at the American International Toy Fair by Winning Moves. The puzzle is similar to the Rubik's Cube in that the objective is to manipulate the puzzle until all sides are uniform in colour. The puzzle itself forms a triangular pyramid, so that there are four sides and colours. Rules The Triamid is made of ten individual pieces (each with four coloured sides) and four joining sections. The user is able to manipulate the puzzle by removing a small pyramid (of four pieces) from any of the four end points, rotate it, and reattach it. The puzzle is solved when each side of the pyramid has a single colour. The puzzle is superficially similar to the Pyraminx The Pyraminx () is a regular tetrahedron puzzle in the style of Rubik's Cube. It was made and patented by Uwe Mèffert after the original 3 layered Rubik' ...
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Mechanical Puzzle
A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces in which the solution is to manipulate the whole object or parts of it. While puzzles of this type have been in use by humanity as early as the 3rd century BC, one of the most well-known mechanical puzzles of modern day is the Rubik's Cube, invented by the Hungarian architect Ernő Rubik in 1974. The puzzles are typically designed for a single player, where the goal is for the player to discover the principle of the object, rather than accidentally coming up with the right solution through trial and error. With this in mind, they are often used as an intelligence test or in problem solving training. History The oldest known mechanical puzzle comes from Greece and appeared in the 3rd century BC. The game consists of a square divided into 14 parts, and the aim was to create different shapes from these pieces. This is not easy to do. (see Ostomachion loculus Archimedius) In Iran "puzzle-locks" ...
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Ernő Rubik
Ernő Rubik (; born 13 July 1944) is a Hungarian architect and inventor, widely known for creating the Rubik's Cube (1974), Rubik's Magic, and Rubik's Snake. While Rubik became famous for inventing the Rubik's Cube and his other puzzles, much of his recent work involves the promotion of science in education. Rubik is involved with several organizations such as Beyond Rubik's Cube, the Rubik Learning Initiative and the Judit Polgar Foundation, all of which aim to engage students in science, mathematics, and problem solving at a young age. Rubik studied sculpture at the Academy of Applied Arts and Design in Budapest and architecture at the Technical University, also in Budapest. While a professor of design at the academy, he pursued his hobby of building geometric models. One of these was a prototype of his cube, made of 27 wooden blocks; it took Rubik a month to solve the problem of the cube. It proved a useful tool for teaching algebraic group theory, and in late 1977 Konsu ...
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Matchbox (brand)
Matchbox is a toy brand which was introduced by Lesney Products in 1953, and is now owned by Mattel, Inc, which purchased the brand in 1997. The brand was given its name because the original die-cast toy, die-cast "Matchbox" toys were sold in boxes similar to those in which matches were sold. The brand grew to encompass a broad range of toys, including larger scale die-cast models, plastic model kits, slot car racing, and action figures. During the 1980s, Matchbox began to switch to the more conventional plastic and cardboard "blister packs" that were used by other die-cast toy brands such as Hot Wheels. By the 2000s, the box style packaging was re-introduced for the collectors' market, such as the 35th Anniversary of Superfast series in 2004 and the 50th Anniversary of Superfast in 2019. Products currently marketed under the Matchbox name include scale model plastic and die-cast vehicles, and toy garages. History Early years: Lesney, the origin of the Matchbox name and the ' ...
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Triangular Pyramid
In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices. The tetrahedron is the simplest of all the ordinary convex polyhedra. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron, the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets. For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and another sphere (the insphere) tangent to the tetrahedron's faces. Reg ...
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Pyraminx
The Pyraminx () is a regular tetrahedron puzzle in the style of Rubik's Cube. It was made and patented by Uwe Mèffert after the original 3 layered Rubik's Cube by Ernő Rubik, and introduced by Tomy Toys of Japan (then the 3rd largest toy company in the world) in 1981. Optimal solutions The maximum number of twists required to solve the Pyraminx is 11. There are 933,120 different positions (disregarding the trivial rotation of the tips), a number that is sufficiently small to allow a computer search for optimal solutions. The table below summarizes the result of such a search, stating the number ''p'' of positions that require ''n'' twists to solve the Pyraminx:Pyraminx
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Records

The world record single solve is 0.73 seconds, set by Simon Kellum of the

Combination Puzzles
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange. More formally, a ''k''-combination of a set ''S'' is a subset of ''k'' distinct elements of ''S''. So, two combinations are identical if and only if each combination has the same members. (The arrangement of the members in each set does not matter.) If the set has ''n'' elements, the number of ''k''-combinations, denoted by C(n,k) or C^n_k, is equal to the binomial coefficient \binom nk = \frac, which can be written using factorials as \textstyle\frac whenever k\leq n, and which is zero when k>n. This formula can be derived from the fact that each ''k''-combination of a set ''S'' of ''n'' members has k! permutati ...
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