Education and demonstration – Mathematics – Geometry – trigonometry – or physical mathematic model structure
Patent
1992-11-16
1993-10-05
Wilson, John J.
Education and demonstration
Mathematics
Geometry, trigonometry, or physical mathematic model structure
G09B 500
Patent
active
052499669
ABSTRACT:
A geometric block system for constructing a regular rhombic dodecahedron having twelve identical rhombic faces, the system consisting of eight identical first blocks each being one-quarter of a regular tetrahedron and eight identical second blocks each being one-eights of a regular octahedron. The regular tetrahedron has six edges of length "a" and four identical equilateral triangular faces with sides of length "a". Each first block has one cubic unit of volume and has an apex at a point corresponding with the center of gravity of the tetrahedron and has first, second, third and fourth triangular faces. The first face is equilateral triangular with edges of length .intg.a"; the second, third and fourth faces are isosceles triangular with one edge of length "a" and two edges of length "b" equal to a .sqroot.6/4. The regular octahedron has eight edges of length "a" and eight identical equilateral triangular faces with sides of length "a". Each second block has two cubic units of volume and has an apex at a point corresponding with the center of gravity of said octahedron and has fifth, sixth, seventh and eighth triangular faces. The fifth face is equilateral triangular with edges of length "a"; the sixth, seventh and eighth faces are isosceles triangular with one edge of length "a" and two edges of length "c" equal to a/.sqroot.2. Each identical rhombic face has four edges of length "b". The first and second blocks may be assembled from respective subdivision blocks as described.
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Smith Jeffrey A.
Wilson John J.
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