1. Journal Of Neurophysiology

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A series of interrelated sets of tetrahedron Each set is capable of assembly into a cube with all the cubes being identical in size. Typically, there are at least three such sets, though there may be more; and when there are three sets, for example, one set contains twice as many tetrahedron blocks as the second set and four times as many as the third set.

The tetrahedrons are preferably hollow and each of them has a magnet for each face, e.g., affixed to the interior walls of its faces, the magnets being so polarized that upon assembly into a cube or pyramid, the magnets of facing faces attract each other. Preferably, the blocks are colored in such a way that faces of the same size and shape are colored alike and each size and shape has a different color.

Journal Of Neurophysiology

BACKGROUND OF THE INVENTIONThis invention relates to a group or groups of blocks, each of which is shaped as a tetrahedron.In one arrangement, the group comprises interrelated sets having different numbers of blocks, each set being capable of assembly into a cube, and all of the cubes being the same size.In another arrangement, each set has twelve blocks and is capable of assembly into a rectangular parallelepiped; each set is also capable of assembly as an eight-block pyramid and a four-block tetrahedron. Many other solids may be formed from either such group.The tetrahedron, the simplest polygonal solid, is of special interest, in that all other polygonal solid figures can be broken down into tetrahedrons. In this manner, a number of shapes can be produced by assembling various tetrahedrons. The group of blocks may be viewed either as an educational device for study of solids, as a playset for amusement of children or grownups, or as a puzzle for grownups or children.In its educational aspect, a great deal can be learned about various solid figures, including not only pyramids and cubes but a great variety of figures, by superposition and interrelation of the tetrahedrons included in the sets of this invention. The blocks may be related to architecture and history, and also may lead to geometrical speculation.When used either for play or as a puzzle, the invention provides numerous opportunities for assembling various shapes from the tetrahedrons. Storage is normally done by assembling them together in cubes or parallelepipeds or segments thereof; and when the blocks are all spread out it takes ingenuity and understanding to reassemble them into the cube, particularly a cube related to the particular set. As stated, pyramids or pyramidal groups may be constructed; so may octahedrons, and so on.Thus, among the objects of the invention are those of enabling study and amusement, of facilitating observation, of improving manual dexterity, of illustrating relations between various solid figures, and so on, by the use of tangible blocks.

These blocks are preferably made so that they can be held to each other magnetically; and they are also preferably colored, when the color relationship is helpful. To make the group more puzzling, of course, the color relationship may be avoided.

SUMMARY OF THE INVENTIONThe invention comprises a group of tetrahedron blocks which may be grouped as a series of interrelated sets.The invention demonstrates a harmony in which several each of seven tetrahedron blocks and their mirror counterparts, all having right-angle faces, come together in an orderly progression to form one system in a variety of configurations. Taken separately, multiple individual pairs can either combine as one-of-a-kind to form a variety of symmetrical polyhedrons, or combine with other one-of-a-kind pairs to form a variety of other symmetrical polyhedrons.The tetrahedrons are preferably hollow, with magnets affixed to the interior walls of their faces, and the magnets are so arranged with respect to their polarization that upon proper assembly into a cube or pyramid the magnets of facing faces attract each other and help hold the blocks together. Without this, it is sometimes difficult to obtain or retain configurations that may be desired.Color relationships may also be provided in order to help in assembly.

Then color relationships can also be used to make other educational points.In one arrangement, each set is capable of assembly as a cube, and all the cubes from all of the sets are the same size.Preferably, if there are three such sets, for example, the first set contains twice as many tetrahedrons as the second set and four times as many as the third set. The tetrahedrons in the third set are thus smaller than those in the first set. There may be more than three sets, with additional sets containing twice as many tetrahedrons as in the one where they were previously most numerous.The relationships as to the size of each of the individual sets can become interesting in itself. For example, in one embodiment of the invention, there may be a group of 42 tetrahedrons comprising three interrelated sets, each set, as stated, being arranged so that a cube can be formed with all three cubes the same size. The smallest tetrahedrons are in the first set, which may comprise 24 tetrahedrons in four subsets; the first and second subsets each comprise eight identical tetrahedrons, and those of the first subset are symmetrical to those in the second subset. The six edges of each tetrahedron of the first and second subsets are so related to the shortest edge, taking its length as 1, that the six edges have respective lengths of 1, 1, √2, 2, √5, and √6. The third and fourth subsets of this first set comprise four identical tetrahedrons each, and these two sets are also symmetrical to each other, with their six edges (again related to the shortest edge of the first two subsets taken as (1) in the relationship: 1, 1, 2, √5, √5, and √6.The second set may comprise twelve tetrahedrons, also in four subsets, subsets five, six, seven, and eight.

In this second set, the first two subsets each comprise four identical tetrahedrons; and those in the fifth subset are symmetrical to those in the sixth. The edges are related to each other and to those in the first set, so with the length of the shortest edge of the first set being taken as 1, the length of the edges of the tetrahedrons in the fifth and sixth subsets are: 29 2, √2, 2, 2, √6, and 2√2.

A group of tetrahedron blocks comprising a series of interrelated sets of tetrahedron blocks exclusively, each set being capable of assembly into a cube, the cubes being identical in size, all the tetrahedron blocks in each set having every face thereof a right triangle, the tetrahedron blocks in each set being of different size from those of the other sets, and comprising at least one pair of subsets of identical tetrahedron blocks, the tetrahedron blocks in each subset being symmetric to those in another subset of that pair.