منابع مشابه
Imaginary Cubes and Their Puzzles
Imaginary cubes are three dimensional objects which have square silhouette projections in three orthogonal ways just as a cube has. In this paper, we study imaginary cubes and present assembly puzzles based on them. We show that there are 16 equivalence classes of minimal convex imaginary cubes, among whose representatives are a hexagonal bipyramid imaginary cube and a triangular antiprism imag...
متن کاملImaginary Cubes — Objects with Three Square Projection Images — Hideki Tsuiki
An imaginary cube is a three dimensional object which has square projections in three orthogonal directions just as a cube has. In this paper, we study imaginary cubes and present sculptures based on imaginary cubes. We show that there are 16 kinds of minimal convex imaginary cubes. The list of 16 representative minimal convex imaginary cubes contains, as well as a regular tetrahedron and a cub...
متن کاملThe shuffle-cubes and their generalization
In this paper, we first present a new variation of hypercubes, denoted by SQn. SQn is obtained from Qn by changing some links. SQn is also an n-regular n-connected graph but of diameter about n/4. Then, we present a generalization of SQn. For any positive integer g, we can construct an n-dimensional generalized shuffle-cube with 2n vertices which is n-regular and n-connected. However its diamet...
متن کاملSome partial Latin cubes and their completions
It iswell known that all n×n partial Latin squareswith atmost n−1 entries are completable. Our intent is to extend this well known statement to partial Latin cubes.We show that if an n×n×n partial Latin cube contains at most n − 1 entries, no two of which occupy the same row, then the partial Latin cube is completable. Also included in this paper is the problem of completing 2×n×n partial Latin...
متن کاملWhat’s New in Polyomino Puzzles and Their Design
The idea of using sets of polyominoes as practical assembly puzzles can be traced back more than two and a half centuries. Les Amusmens, published in 1749, included a cross puzzle made of three Z-pentominoes and two L-polyominoes. The earliest rectangular puzzle formed from polyominoes that we found, named The Jags and Hooks Puzzle, was included in Catel’s Catalogue of 1785 [1]. It consisted of...
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ژورنال
عنوان ژورنال: Algorithms
سال: 2012
ISSN: 1999-4893
DOI: 10.3390/a5020273