Soma cube - Soma cube The Soma cube is a mathematical puzzle by Piet Hein. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other interesting 3d shapes. The soma cube is often regarded as the 3d equivalent of tangrams. There are interesting parity properties relating to solutions of the Soma puzzle. It is unclear whether the puzzle is named after the fictitious drug 'soma' in Aldous Huxley's novel Brave New World. Soma has been discussed in detail by Martin Gardner and John Conway, and the book Winning Ways for your Mathematical Plays contains a detailed analysis of the soma cube problem. The seven soma pieces are all variants on the bent triomino:.
Soma - Soma Soma, mentioned within Vedic scriptures, was apparently a drink, probably created with a hallucinogenic mountain plant; Soma is seen as sacred, as a deva. What Soma actually was, is not known; modern Soma is a non-intoxicating drink, consisting of rhubarb. The Rig-Veda (8.48) states, "We have drunk the Soma; we have become immortal; we have gone to the light; we have found the gods." The plant, itself, is personified as a god. The god is the plant and the drink; there is no difference. The plant is the god and the drink is the god and the plant is the drink -- they are all three the same. Soma was an inspiration for poets. It was a lunar deity, and the underworld. Soma was is.
John Conway - Life. He is also one of the inventors of the Sprouts game, as well as Phutball, and he developed detailed analyses of many other games and puzzles, such as the Soma cube. He invented a new number system, the surreal numbers, which are closely related to certain games and have been the subject of a mathematical novel by Donald Knuth. He also invented an nomenclature for exceedingly large numbers, the Conway chained arrow. Conway is professor of mathematics at Princeton University. He studied at Cambridge University. In 1981 he was elected a Fellow of the Royal Society. He has written several books including On Numbers and Games and Winning Ways for your Mathematical Plays. Many authors put his name on their papers to have the papers published..
Piet Hein (Denmark) - his home on Funen, Denmark in 1996. He is known to a wider public for his thousands of short, aphoristic poems called Grooks and creations like the game of Hex, Tangloids, Morra, Tower, Polytaire, TacTix, and the Soma cube. He advocated the use of the super ellipse curve in city planning, furniture making and other realms. He was a direct descendant of Piet Hein, the Dutch naval hero of the 16th century. Bibliography: "A Poet with a Slide Rule: Piet Hein Bestrides Art and Science," by Jim Hicks, Life Magazine, Vol. 61 No. 16, 10/14/66, pp.55-66 Grooks, by Piet Hein, (1998) Borgens Forlag; ISBN 8741810791 Collected Grooks I, by Piet Hein Borgens Forlag; ISBN 8721018596 Collected Grooks II, by Piet Hein Borgens Forlag; ISBN 8721018618 External Links Notes on Piet Hein,.
Puzzle - Categories of puzzles 2 Examples of puzzles that do not fit into any of the categories above 3 Literature Categories of puzzles boardgame puzzles - puzzles derived from board games chess-type problems chess problems Eight queens puzzle computer puzzle games cube puzzles logic puzzles Paint by numbers mechanical puzzles Rubik's_Cube packing problems pair-up puzzles polycube puzzles Soma cube riddle shuffling puzzles Tower of Hanoi solitaire-type puzzles Peg solitaire stick puzzles matchstick puzzles tiling puzzles jigsaw puzzles polysquare puzzles Tangram tour puzzles transport puzzles sliding puzzles Fifteen puzzle Sokoban whodunits word puzzles anagrams crossword puzzles For more examples click one of the categories. Examples of puzzles that do not fit into any of the categories above Geocaching Logiquiz Situation puzzles please add more puzzles to this list See also: Letter game Mathematical.
Winning Ways for your Mathematical Plays - Winning Ways describes a number of new games, many of which are popular today. Examples of this type include Sprouts and Philosopher's Football. They also analyzed Dots and Boxes and a number of Nim variations. Along with games both common and uncommon, the authors of Winning Ways analyzed a number of puzzles, including Soma and Rubik's Cube. See also Combinatorial game theory..
Martin Gardner - known as the Gatherings for Gardner, are held in his honour. The first was held in 1993. In his column, he introduced many subjects to a wider audience, including:- Flexagons John Conway's Game of Life Polyominoes The Soma cube The board game "Nash", also called "Hex" and sometimes called "John", independently created by Piet Hein and John Forbes Nash Tangrams Penrose tiling cryptoanalysis/trapdoor ciphers many others... please add them here... He is the author of more than 65 books. There is an asteroid named in honor of Martin Gardner (2587) Gardner. Table of contents showTocToggle("show","hide") 1 Selected works 1.1 Books 1.2 Collections of columns from Scientific American magazine 2 See also 3.
List of mathematical topics (S-U) - Schrödinger equation -- Schur complement -- Schur decomposition -- Schwartz, Laurent -- Schwinger, Julian -- Scientific notation -- Schwarzschild metric -- Scott, Dana -- Scottish Café -- Scytale -- Search algorithm -- Sectional curvature -- Secant -- Second-order logic -- Sedenion -- Seifert-van Kampen theorem -- Selberg -- Selberg, Atle -- Self-adjoint operator -- Self-similar -- Sellmeier equation -- Selten -- Selten, Reinhart -- Semantic network -- Semi-continuous -- Semidirect product -- Semigroup -- Semiperfect magic cube -- Semiperfect number -- Semiprime -- Semiring -- Semisimple -- Semisimple ring -- Senary -- Sensitivity -- Separability -- Separable -- Separable extension -- Separable polynomial -- Separated sets -- Separation axiom -- Separation of variables -- Sequence -- Series -- Serre -- Serre, Jean-Pierre -- Set -- Set-builder notation -- Set-theoretic intersection --.
List of combinatorics topics - Transposition table Hamming distance Hash function Hash collision Perfect hash function Hypergeometric series Hypergraph Knapsack problem Lah number Large number Latin square Magic square Marriage theorem Perfect matching Monge array Moreau's necklace-counting function Necklace problem Negligible set Almost all Almost everywhere Null set Packing problem Bin packing problem Permanent Permutation Permutation matrix Josephus permutation Shuffling playing cards Pochhammer symbol Polyomino Tetromino Pentomino Pentominoes Hexomino Polyamonds Polysquare puzzle Soma cube Projective plane Rubik's cube How to solve the Rubik's Cube Optimal solutions for Rubik's Cube Rubik's Revenge Search algorithm Linear search Binary search Interpolation search Local search String searching algorithm Knuth-Morris-Pratt algorithm Aho-Corasick algorithm Fuzzy string searching grep, agrep, wildcard character Shuffling puzzle Steiner system Stirling number String algorithm Subsequence Longest-common subsequence problem Optimal-substructure Subset sum problem Symmetric functions Tower of Hanoi.
Ice Cube - Ice Cube Ice Cube (born June 15, 1969) is a controversial American rapper, originally a member of the N.W.A (Niggaz Wit' Attitude) until launching a successful solo career in music and cinema. Ice Cube, born O'Shea Jackson, was raised in south-central Los Angeles, California and began writing raps in high school, most notably "Boyz 'N Da Hood", a song which later became famous when done by NWA. Cube and a friend, Sir Jinx, rapped as a partnership called "CIA" at parties hosted by Dr. Dre. After a brief stint in a group called "HBO", Cube showed Eazy-E "Boyz 'N Da Hood" and the pair, plus Dr. Dre, formed N.W.A. Cube took one year off to earn a degree in architectural drafting in Phoenix, Arizona in 1987 but.
Impossible cube - Impossible cube The impossible cube or irrational cube is an impossible object. It is represented as a 2-dimensional drawing of a cube, seen in an isometric perspective (parallel edges in the cube are parallel lines in the drawing). The cube is drawn as solid beams, which cross in inconsistent ways, contradicting each other. The result is an object with 12 edges. Necker cube on the left, impossible cube on the right. In M. C. Escher's lithograph Belvedere, the figure of a boy seated at the foot of the building is holding an impossible cube and the entire picture is based on the same principle that makes the impossible cube. A doctored photograph purporting to be of an impossible cube was published in the June 1966 number of.
Hilbert cube - Hilbert cube In mathematics, the Hilbert cube is a topological space that provides an instructive example of some ideas in topology. Topologically, the Hilbert cube may be defined as the product of countably infinitely many copies of the unit interval [0,1]. That is, it is the cube of countably infinite dimension. As a product of compact Hausdorff spaces, it is itself a compact Hausdorff space as a result of the Tychonoff theorem. It's sometimes convenient to think of the Hilbert cube as a metric space, indeed as a specific subset of a Hilbert space with countably infinite dimension. For these purposes, it's best not to think of it as a product of copies of [0,1], but instead as [0,1] × [0,1/2] × [0,1/3] × ···; for topological.
How to solve the Rubik's Cube - How to solve the Rubik's Cube "How to solve the Rubik's Cube", describes one method to complete the popular Rubik's Cube. This is not the only method, simply one of them. Table of contents showTocToggle("show","hide") 1 Background 2 Step 1 - Top edge pieces 3 Step 2 - U face corner pieces 4 Step 3 - Middle edge pieces 5 Step 4 - Solve remaining edge pieces 6 Step 5 - Position corner pieces 7 Step 6 - Orient corner pieces correctly Background The following is one of many solutions to the Rubik's Cube. This solution was developed by David Singmaster, a British mathematician. Before starting, a method is required for describing the various moves that will be made. There are six faces, with the following notations: Upper,.
Gelatinous cube - Gelatinous cube A gelatinous cube is a fictional monster originally created for the Dungeons & Dragons role-playing game. It is a ten-foot cube of mindless, gelatinous matter that slides from one place to another, absorbing everything in its path. Because of its obviously fantastic, non-realistic nature, the gelatinous cube is one of the most well-known monsters created especially for role-playing games. Although it is based upon famous fictional monsters (especially the movie The Blob), it exists primarily as a role-playing game monster, and not a monster taken from outside sources (such as many mythological monsters including the minotaur or troll) and adapted to a role-playing setting. Despite its popularity (or perhaps because of it), the gelatinous cube is also widely known as one of the sillier role-playing.
Unit cube - Unit cube A unit cube is a 3-dimensional geometric figure that consists of a cube in which all of its dimensions are 1 unit long..
Bimagic cube - Bimagic cube In mathematics, a bimagic cube is a magic cube that also remains magic if all of the numbers it contains are squared. The only known example of a bimagic cube was given by John Hendricks in 2000; it has order 25 and magic constant 195325. See also Magic cube Trimagic cube Multimagic cube Magic square Bimagic square Trimagic square Multimagic square.
Cube - Cube A cube (or hexahedron) is a Platonic solid composed of six square faces, with three meeting at each vertex. The cube is a special kind of square prism and of triangular trapezohedron, and is dual to the octahedron. Canonical coordinates for the vertices of a cube centered at the origin are (±1,±1,±1), while the interior of the same consists of all points (x0, x1, x2) with -1 < xi < 1. A cube can be inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking all such cubes gives rise to the regular compound of five cubes. The compound of two tetrahedra is made from.
Cube Cove, Alaska - Cube Cove, Alaska Cube Cove is a town located in Skagway-Hoonah-Angoon Census Area, Alaska. As of the 2000 census, the population of the town is 72. Geography \nCube Cove is located at 57°56'12" North, 134°43'13" West (57.936644, -134.720189)1. According to the United States Census Bureau, the town has a total area of 30.3 km² (11.7 mi²). 29.6 km² (11.4 mi²) of it is land and 0.8 km² (0.3 mi²) of it is water. The total area is 2.48% water. Demographics \nAs of the census2 of 2000, there are 72 people, 25 households, and 23 families residing in the town. The population density is 2.4/km² (6.3/mi²). There are 37 housing units at an average density of 1.3/km² (3.2/mi²). The racial makeup of the town is 98.61% White,.
Cube puzzle - Cube puzzle Cube puzzles use unconnected cubes, usually of same size. Sometimes a board is used as well on which the cubes have to roll according to certain rules. Examples of cube puzzles Capetown Flamingos.
Cube root - Cube root In mathematics, the cube root of a number is a number which, when cubed (multiplied by itself and then multiplied by itself again), gives back the original number. For instance, the cube root of 8 is 2, because 2 × 2 × 2 = 8. This is written: Formally, the cube root of a real (or complex) number x is a real (correspondingly, complex) solution y to the equation: y3 = x, which leads to the equivalent notation for cube and other roots that A non-zero complex number has three cube roots. A real number has a unique real cube root, but when treated as a complex number it has two further cube roots, which are complex conjugates of each other. For instance, the.
