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Bedlam Cube
The Bedlam cube is a solid dissection puzzle invented by British puzzle expert Bruce Bedlam. Design The puzzle consists of thirteen polycubic pieces: twelve pentacubes and one tetracube. The objective is to assemble these pieces into a 4 x 4 x 4 cube. There are 19,186 distinct ways of doing so, up to rotations and reflections. The Bedlam cube is one unit per side larger than the 3 x 3 x 3 Soma cube, and is much more difficult to solve. History Two of the BBC's 'Dragons' from ''Dragons' Den'', Rachel Elnaugh and Theo Paphitis, were to invest in the Bedlam cube during the 2005 series. They offered £100,000 for a 30% share of equity in Bedlam Puzzles. Danny Bamping (the entrepreneur behind Bedlam cube) finally chose a bank loan instead of their investment, as seen in the relevant "Where Are They Now" episode of ''Dragons' Den''. Records According to ''Guinness World Records'', the official world record for assembling the Bedlam Cube is 11.03 seconds by Danny Bamping ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bedlam Cube
The Bedlam cube is a solid dissection puzzle invented by British puzzle expert Bruce Bedlam. Design The puzzle consists of thirteen polycubic pieces: twelve pentacubes and one tetracube. The objective is to assemble these pieces into a 4 x 4 x 4 cube. There are 19,186 distinct ways of doing so, up to rotations and reflections. The Bedlam cube is one unit per side larger than the 3 x 3 x 3 Soma cube, and is much more difficult to solve. History Two of the BBC's 'Dragons' from ''Dragons' Den'', Rachel Elnaugh and Theo Paphitis, were to invest in the Bedlam cube during the 2005 series. They offered £100,000 for a 30% share of equity in Bedlam Puzzles. Danny Bamping (the entrepreneur behind Bedlam cube) finally chose a bank loan instead of their investment, as seen in the relevant "Where Are They Now" episode of ''Dragons' Den''. Records According to ''Guinness World Records'', the official world record for assembling the Bedlam Cube is 11.03 seconds by Danny Bamping ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dragons' Den (UK)
''Dragons' Den'' is a British reality television business programme, presented by Evan Davis and based upon the original Japanese series. The show allows several entrepreneurs an opportunity to present their varying business ideas to a panel of five wealthy investors, the "Dragons" of the show's title, and pitch for financial investment while offering a stake of the company in return. The first episode was broadcast on BBC Two on 4 January 2005. After 16 series on the channel, the show has been broadcast on BBC One since 2021. Reruns of previous episodes are still broadcast on BBC Two. The programme is produced by BBC Studios Factual Entertainment Productions and co-produced with Sony Pictures Television International, the owners of the format that is distributed worldwide. Programme Format Contestants have what they believe to be a viable and potentially profitable business idea but lack funding, or are already operating their business, but need additional funds for promotion ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tiling Puzzles
{{disambiguation, surname ...
Tiling may refer to: *The physical act of laying tiles *Tessellations Computing *The compiler optimization of loop tiling *Tiled rendering, the process of subdividing an image by regular grid *Tiling window manager People *Heinrich Sylvester Theodor Tiling (1818–1871), physician and botanist *Reinhold Tiling (1893–1933), German rocket pioneer Other uses *Neuronal tiling *Tile drainage, an agriculture practice that removes excess water from soil *Tiling (crater), a small, undistinguished crater on the far side of the Moon See also *Brickwork *Packing (other) *Tiling puzzle Tiling puzzles are puzzles involving two-dimensional packing problems in which a number of flat shapes have to be assembled into a larger given shape without overlaps (and often without gaps). Some tiling puzzles ask you to dissect a given ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conway Puzzle
Conway's puzzle, or blocks-in-a-box, is a packing problem using rectangular blocks, named after its inventor, mathematician John Conway. It calls for packing thirteen 1 × 2 × 4 blocks, one 2 × 2 × 2 block, one 1 × 2 × 2 block, and three 1 × 1 × 3 blocks into a 5 × 5 × 5 box. Solution The solution of the Conway puzzle is straightforward once one realizes, based on parity considerations, that the three 1 × 1 × 3 blocks need to be placed so that precisely one of them appears in each 5 × 5 × 1 slice of the cube.Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: winning ways for your mathematical plays, 2nd ed, vol. 4, 2004. This is analogous to similar insight that facilitates the solution of the simpler Slothouber–Graatsma puzzle. See also * Soma cube The Soma cube is a solid dissection puzzle invented by Danish polymath Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Slothouber–Graatsma Puzzle
The Slothouber–Graatsma puzzle is a packing problem that calls for packing six 1 × 2 × 2 blocks and three 1 × 1 × 1 blocks into a 3 × 3 × 3 box. The solution to this puzzle is unique ( up to mirror reflections and rotations). It was named after its inventors Jan Slothouber and William Graatsma. The puzzle is essentially the same if the three 1 × 1 × 1 blocks are left out, so that the task is to pack six 1 × 2 × 2 blocks into a cubic box with volume 27. Solution The solution of the Slothouber–Graatsma puzzle is straightforward when one realizes that the three 1 × 1 × 1 blocks (or the three holes) need to be placed along a body diagonal of the box, as each of the 3 x 3 layers in the various directions needs to contain such a unit block. This follows from parity considerations, because the larger blocks can only fill an even number of the 9 cells in each 3 x 3 layer.Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: Winning ways for your mathematical plays, 2nd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guinness World Records
''Guinness World Records'', known from its inception in 1955 until 1999 as ''The Guinness Book of Records'' and in previous United States editions as ''The Guinness Book of World Records'', is a reference book published annually, listing world records both of human achievements and the extremes of the natural world. The brainchild of Sir Hugh Beaver, the book was co-founded by twin brothers Norris and Ross McWhirter in Fleet Street, London, in August 1955. The first edition topped the best-seller list in the United Kingdom by Christmas 1955. The following year the book was launched internationally, and as of the 2022 edition, it is now in its 67th year of publication, published in 100 countries and 23 languages, and maintains over 53,000 records in its database. The international franchise has extended beyond print to include television series and museums. The popularity of the franchise has resulted in ''Guinness World Records'' becoming the primary international authority ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theo Paphitis
Theodoros "Theo" Paphitis ( el, Θεόδωρος Παφίτης; born 24 September 1959) is a Greek-Cypriot British retail magnate and entrepreneur. He is best known for his appearances on the BBC business programme ''Dragons' Den'' and as former chairman of Millwall Football Club. Paphitis has made the majority of his fortune in the retail sector. In 2006, he sold his equity stake in the lingerie brand La Senza for a reported £100 million. He is the owner of stationery chain Ryman, the homewares specialist Robert Dyas and lingerie retailer Boux Avenue. According to The ''Sunday Times Rich List'' in 2020, Paphitis is worth £290 million. In May 2018, Solent University in Southampton named Paphitis as their new Chancellor. Paphitis was inaugurated as the university's Chancellor on 11 October 2018. He will serve a minimum of three years. Paphitis succeeded Lord West of Spithead. Early life Paphitis was born on 24 September 1959 in Limassol. He is the second of three brothers, w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rachel Elnaugh
Rachel Elnaugh (born 12 December 1964) is a British entrepreneur who founded the UK gift company Red Letter Days. She was one of the investors participating in the first two series of BBC Two's TV show ''Dragons' Den''. Early life When she was younger she lived above her father's electrical shop, 'Elnaugh and Son' in Chelmsford. Rachel attended Chelmsford County High School for Girls, a Grammar School in Essex. She originally wanted to take art history, but she was rejected by five universities, and she climbed the corporate ladder from being an office junior in a local firm of accountants to become a qualified tax consultant with Arthur Andersen. Career Red Letter Days In 1989, Elnaugh founded Red Letter Days, one of the first UK companies to sell experiential gifts, such as motor racing days, hot air ballooning and health spa days. (link via Internet Archive) The idea to set up Red Letter Days came from purchasing tickets to a cricket match for her father as a gift. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soma Cube
The Soma cube is a solid dissection puzzle invented by Danish polymath Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes. The pieces of the Soma cube consist of all possible combinations of three or four unit cubes, joined at their faces, such that at least one inside corner is formed. There is one combination of three cubes that satisfies this condition, and six combinations of four cubes that satisfy this condition, of which two are mirror images of each other (see Chirality). Thus, 3 + (6 × 4) is 27, which is exactly the number of cells in a 3×3×3 cube. The Soma cube was popularized by Martin Gardner in the September 1958 Mathematical Games column in ''Scientific American.'' The book '' Winning Ways for your Mathematical Plays'' also contains a detailed analysis of the Soma cube problem. Ther ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bedlam Elements
Bedlam, a word for an environment of insanity, is a term that may refer to: Places * Bedlam, North Yorkshire, a village in England * Bedlam, Shropshire, a small hamlet in England * Bethlem Royal Hospital, a London psychiatric institution and the purported origin for the word for chaos or madness * Bedlam Theatre, a student-run theatre in Edinburgh Arts and media Film and television * ''Bedlam'' (1946 film), a thriller film starring Boris Karloff * ''Bedlam'' (2019 film), a documentary film about mental health in the United States * ''Bedlam'' (2011 TV series), a British supernatural drama * ''Bedlam'' (2013 TV series), a documentary * "Bedlam" (''Pretty Little Liars''), a 2016 episode of the TV series ''Pretty Little Liars'' Literature * '' Bedlam: London and Its Mad'', a 2008 book on the history of mental illness in London * " Tom o' Bedlam", an anonymous poem written circa 1600 * ''Bedlam'' (Kennen novel), a 2009 young adult book * ''Bedlam'', a 1992 science fiction no ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Up To
Two Mathematical object, mathematical objects ''a'' and ''b'' are called equal up to an equivalence relation ''R'' * if ''a'' and ''b'' are related by ''R'', that is, * if ''aRb'' holds, that is, * if the equivalence classes of ''a'' and ''b'' with respect to ''R'' are equal. This figure of speech is mostly used in connection with expressions derived from equality, such as uniqueness or count. For example, ''x'' is unique up to ''R'' means that all objects ''x'' under consideration are in the same equivalence class with respect to the relation ''R''. Moreover, the equivalence relation ''R'' is often designated rather implicitly by a generating condition or transformation. For example, the statement "an integer's prime factorization is unique up to ordering" is a concise way to say that any two lists of prime factors of a given integer are equivalent with respect to the relation ''R'' that relates two lists if one can be obtained by reordering (permutation) from the other. As anot ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polycube
upAll 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in total A puzzle involving arranging nine L tricubes into a 3×3 cube A polycube is a solid figure formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes. The Soma cube, the Bedlam cube, the Diabolical cube, the Slothouber–Graatsma puzzle, and the Conway puzzle are examples of packing problems based on polycubes. Enumerating polycubes A chiral pentacube Like polyominoes, polycubes can be enumerated in two ways, depending on whether chiral pairs of polycubes are counted as one polycube or two. For example, 6 tetracubes have mirror symmetry and one is chiral, giving a count of 7 or 8 tetracubes respectively. Unlike polyominoes, polycubes are usually counted with mirror pairs distinguished, because one cannot turn a polycube over to reflect it as one can a polyomino give ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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