Curiosities of the cube
By: Ernest R. Ranucci, Wilma E. Rollins ; illustrated by Henry Roth.
Contributors: Rollins, Wilma E., joint author.; Roth, Henry, 1933-
Publisher: Crowell
Published: 1977
Place of publication: New York
Language: eng
Number of pages: 111
Subjects: Cube -- Juvenile literature.; Cube.; Geometry.
Description: Includes chapters on putting together and dissecting cubes, cross sections, geometry of the cube, games, and curiosities.
Table of contents: label: I.
title: Cues on cubes.
pagenum: 1; label: II.
title: Putting cubes together; title: Cube folding.
pagenum: 6; title: A drinking-straw construction.
pagenum: 15; title: Cubes out of pyramids.
pagenum: 16; title: Rhombic dodecahedron.
pagenum: 18; title: An octahedron.
pagenum: 20; title: A cuboctahedron.
pagenum: 23; label: III.
title: Taking cubes apart; title: Dissecting a cube into two congruent solids.
pagenum: 24; title: Dissecting a cube into four congruent solids.
pagenum: 27; title: Dissecting a cube into one regular tetrahedron and four congruent pyramids.
pagenum: 27; title: Dissecting a cube into four congruent hexahedrons.
pagenum: 30; title: Dissecting a cube into smaller cubes.
pagenum: 31; title: Dissecting a cube into pyramids.
pagenum: 32; title: General principles of dissection.
pagenum: 34; title: Exposing the interior surface of a cube.
pagenum: 37; title: Examining the exterior surfaces of a cube.
pagenum: 38; label: IV.
title: Cross sections of a cube; title: Intersection of a plane with no faces.
pagenum: 41; title: Intersection of a plane with one face.
pagenum: 41; title: Intersection of a plane with two faces.
pagenum: 42; title: Intersection of a plane with three faces.
pagenum: 44; title: Intersection of a plane with four faces.
pagenum: 46; title: Intersection of a plane with five faces.
pagenum: 50; title: Intersection of a plane with six faces.
pagenum: 51; title: Typical cross sections of a cube.
pagenum: 53; title: Summary.
pagenum: 55; label: V.
title: The geometry of the cube; title: Drawing a cube.
pagenum: 57; title: Three-dimensional space filling.
pagenum: 61; title: Regular solids and duality.
pagenum: 66; title: Skewed regular polygons.
pagenum: 68; title: Pohlke’s theorem.
pagenum: 70; title: Symmetries of the cube.
pagenum: 70; title: Surface geodesics.
pagenum: 77; label: VI.
title: Games with cubes; title: Prince Rupert’s cube.
pagenum: 86; title: Soma blocks.
pagenum: 89; title: The cube as a factoring lattice.
pagenum: 89; title: The cube and probability.
pagenum: 92; title: Coloring cubes.
pagenum: 93; title: Cube cutting.
pagenum: 96; title: Crazy cubes, or Instant insanity.
pagenum: 99; title: Spelling and the cube.
pagenum: 101; label: VII.
title: Curiosities of the cube; title: Hamiltonian routes and unicursal routes on the cube.
pagenum: 102; title: Duplicating the cube.
pagenum: 104; title: Shadow pictures.
pagenum: 105; title: Measurements of the cube.
pagenum: 106; title: The hypercube.
pagenum: 107