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Through his life, Hendricks published 53 articles and papers on magic squares and cubes, 14 articles on statistics, 15 articles on meteorology, 14 miscellaneous articles and 12 books. A collection of his notes, a CD, and a copy of each of his books, has been added to the Strens Recreational Mathematics Collection at the University of Calgary ...
In 1979 he discovered the optimal known packing of 11 equal squares in a larger square, [2] and in 2003, along with Christian Boyer, developed the first known magic cube of order 5. [3] In 2012, Trump et al. described a model for retention of liquid on random surfaces. [ 4 ]
Its volume would be multiplied by the cube of 2 and become 8 m 3. The original cube (1 m sides) has a surface area to volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law.
Cuisenaire rods in a staircase arrangement Interlocking "multilink" linking cubes A Polydron icosahedron. In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts ...
for the 3-cube is rotations of a 2-polytope (square) in 2-space = 4; for the 2-cube is rotations of a 1-polytope in 1-space = 1; In other words, the 2D puzzle cannot be scrambled at all if the same restrictions are placed on the moves as for the real 3D puzzle. The moves actually given to the 2D Magic Cube are the operations of reflection.
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n.
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Division by mixed numbers; extraction of square and cube roots; diameter of sphere, perimeter and diameter of circle. 商功 Shanggong Figuring for construction Volumes of solids of various shapes. 均輸 Junshu Equitable taxation More advanced word problems on proportion, involving work, distances, and rates. 盈不足 Yingbuzu Excess and deficit