2023-10-03 13:36:43
Introduction
Cube Soma
brain teaser
Author Piet Hein Date of 1st edition year (A year is a unit of time expressing the duration between two occurrences of a linked event…) 1930 Duration announced variable (In mathematics and logic, a variable is represented by a symbol. She…)
modifier
The Soma cube is a mechanical puzzle (In common parlance, mechanics is the field of machines, motors, vehicles, organs…) invented in the 1930s by the poet and scientist (A scientist is a person who devotes to the study of a science or sciences and which…) Danish Piet (Piet is an exotic programming language created by David Morgan-Mar, whose…) Huh.
Principe
The puzzle is made up of seven different pieces, each made up of a certain number of unit cubes. The goal of the game is to assemble these pieces so as to form a cube (In Euclidean geometry, a cube is a prism of which all the faces are square….) of three side units. The pieces can also be combined in a wide variety of other designs.
This puzzle is often considered to be the three-dimensional equivalent of polyminos.
Detail of the seven pieces of the cube
The elements of the Soma cube are formed from all possible combinations of four unit cubes or less, with the exception of convex shapes (i.e., cuboids 1×1×1, 1×1×2, 1×1×3, 1 ×1×4 and 1×2×2). There therefore remains only one tricube (piece composed of 3 unit cubes) and six tetracubes (pieces composed of 4 unit cubes), two of them forming (In intonation, changes in fundamental frequency are perceived as variations of. ..) a pair (We say that a set E is a pair when it is formed of two distinct elements…) of enantiomers.
tetracube
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tetracube
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direct
tetracube
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History
According to the legend reported in 1958 by Martin Gardner, this puzzle was invented by Hein in 1936, during a quantum mechanics course (Quantum mechanics is the branch of physics which aims to study and… ) given by Werner Heisenberg; nevertheless, Ole Poul Pedersen found in 2003 a Danish patent filed by Hein on December 2, 1933.
The name, Soma, is taken from Aldous Huxley’s novel Brave New World. This novel describes a society of the future in which Soma is an addictive drug, thanks to which each element of society is happy and does not claims nothing.
Solutions
The Soma cube was studied in detail by Martin Gardner and John Horton Conway. The book Winning Ways for your Mathematical Plays contains an analysis of the problem. There are 240 distinct solutions to piece together the cube. These solutions can be easily generated by a computer using a recursive algorithm. Recursive algorithms and recursive functions are fundamental in computer science. …) like that of returning to the trace (TRACE is a NASA space telescope designed to study the connection between the…).
On other Wikimedia projects:
The Soma cube on Wikimedia Commons (Wikimedia Commons (often called Commons) is an online media library.) (multimedia resources)
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