## Curiosities of the CubeSummary : Includes chapters on putting together and dissecting cubes, cross sections, geometry of the cube, games, and curiosities |

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### Contents

Putting Cubes Together | 6 |

Taking Cubes Apart | 24 |

Dissecting a Cube into Smaller Cubes | 31 |

Copyright | |

4 other sections not shown

### Common terms and phrases

12 edges 180 degrees 90 degrees abcd adjacent faces basic color congruent solids constructed coplanar Crease cross section cube Fig cube in Fig Dissecting a Cube eight equilateral triangle eV2 eV3 eV2 faces Fig Faces lntersections formed four congruent pyramids geodesic Hamiltonian Route hedron HENRY ROTH horizontal hypercube indicates isosceles length lf a plane lf you fold line segment ln Fig mathematics number of edges number of units original cube pairs of parallel par-hexagon parallelogram pentagon perpendicular Petrie polygons plane is passed plane that intersects possible rectangle regular hexagon regular octahedron regular polygons regular polyhedrons regular tetrahedron result rhombic dodecahedron rhombus right triangle rotational symmetry scalene triangle shown in Fig side six faces six squares skew lines skewed regular space figure string Subcase theorem three dimensions three edges three faces three-dimensional space total number twelve edges two-dimensional vertex volume world and reproduce