Showing papers on "Magic square published in 1991"

Magic squares and linear algebra

Abstract: (1991). Magic Squares and Linear Algebra. The American Mathematical Monthly: Vol. 98, No. 6, pp. 481-488.

Conformal and critical embeddings, infinite magic square, and a new Clifford product

Abstract: It is known how the conformal subalgebras of classical algebras are related to the quark model representation. The relationship between conformal and critical embeddings of exceptional algebras and conformal field theories should be better understood. Through the analysis of conformal and critical embeddings of N=2 magic square, an infinite magic square was constructed in which the only Lie algebras appearing are the orthogonal ones. Exploiting the mathematical structure of the Hermitian symmetric spaces contained in the infinite magic square, a new Clifford product through a Jordan algebra defined via a triple bracket is obtained. A more formal structure is studied and given to this new Clifford product; starting from a Clifford algebra C(n,m), with its generators γi special elements γ and Γi of C(n,m) are constructed satisfying certain axioms. Defining then a new Clifford product, it will be shown that indeed Γi ’s are generators of another Clifford algebra C.

Combined magic cube

Abstract: The utility model discloses solid combined toys in a back rotation type, which are magic squares with various types. Some magic squares are simple to be suitable for infants and some magic squares are a little difficult to be suitable for pupil. The much more difficult magic squares are suitable for the pupils, middle school students and adults. Some magic squares have the functions of sound, light, etc. The magic squares can dispatch beautiful music or appear light flash in the play climax. The magic squares can also be served for the boxes used for storing articles and food, such as stationery boxes, food boxes and other boxes to store chocolate, cold drink and pencils to obtain magic square chocolate, magic ice creams and magic square stationery with interesting. The magic squares can also be served as teaching tools to demonstrate space geometrical relationship and space geometrical changes to students. All the products are made by the splice of plastic components with thin walls. The manufacture is easy.