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Cubic chess is a chess variant invented by Vladimír Pribylinec beginning with an early version (named Echos) in 1977. [1] [2] [3] The game substitutes cubes for the chess pieces, where four of the faces of each cube display a different chess piece (pawn, knight, bishop and rook), the two other faces are blank and are orientated to the players.
The square–cube law was first mentioned in Two New Sciences (1638). The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases. It was first [dubious – discuss] described ...
Roth's theorem on arithmetic progressions. Roth's theorem on arithmetic progressions is a result in additive combinatorics concerning the existence of arithmetic progressions in subsets of the natural numbers. It was first proven by Klaus Roth in 1953. [1] Roth's theorem is a special case of Szemerédi's theorem for the case .
In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces . It can be named by its Schläfli symbol {4,3 5 }, being composed of 3 6-cubes around each 5-face. It can be called a hepteract, a portmanteau of tesseract ...
A Cube is a variation of gameplay for collectible card games. It is a player-made set of at least 360 cards created for the purposes of drafting, though as many as 720 can be used. [1] Booster packs are simulated from the contents of the cube and are used to draft cards for play. [2] Essentially, a cube is a self-contained CCG set that requires ...
History 2006–2010: Formation and first-generation artists. Cube Entertainment was founded on August 29, 2006, by Hong Seung-sung (aka Simon Hong), former president of JYP Entertainment, and Shin Jung-hwa (Monica Shin) as Playcube Inc. Due to the founder's past relations, Cube is sometimes mistaken as a subsidiary of JYP Entertainment, however, it is an independent corporation.
The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is 1, 2, 5, 19, ... (sequence A002851 in the OEIS ). A classification according to edge connectivity is made as follows: the 1-connected and 2-connected graphs are defined as usual. This leaves the other graphs in the 3-connected class because each 3-regular graph can be ...
The cube attack is a method of cryptanalysis applicable to a wide variety of symmetric-key algorithms, published by Itai Dinur and Adi Shamir in a September 2008 preprint. Attack [ edit ] A revised version of this preprint was placed online in January 2009, [1] and the paper has also been accepted for presentation at Eurocrypt 2009.