An edition of Curiosities of the cube
(1977)
Curiosities of the cube
by Ernest R. Ranucci
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Includes chapters on putting together and dissecting cubes, cross sections, geometry of the cube, games, and curiosities.
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Previews available in: English
Subjects
Cube, Geometry, Juvenile literature, Size and shapeShowing 1 featured edition. View all 1 editions?
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Book Details
Table of Contents
I.
Cues on cubes.
Page 1
II.
Putting cubes together
Cube folding.
Page 6
A drinking-straw construction.
Page 15
Cubes out of pyramids.
Page 16
Rhombic dodecahedron.
Page 18
An octahedron.
Page 20
A cuboctahedron.
Page 23
III.
Taking cubes apart
Dissecting a cube into two congruent solids.
Page 24
Dissecting a cube into four congruent solids.
Page 27
Dissecting a cube into one regular tetrahedron and four congruent pyramids.
Page 27
Dissecting a cube into four congruent hexahedrons.
Page 30
Dissecting a cube into smaller cubes.
Page 31
Dissecting a cube into pyramids.
Page 32
General principles of dissection.
Page 34
Exposing the interior surface of a cube.
Page 37
Examining the exterior surfaces of a cube.
Page 38
IV.
Cross sections of a cube
Intersection of a plane with no faces.
Page 41
Intersection of a plane with one face.
Page 41
Intersection of a plane with two faces.
Page 42
Intersection of a plane with three faces.
Page 44
Intersection of a plane with four faces.
Page 46
Intersection of a plane with five faces.
Page 50
Intersection of a plane with six faces.
Page 51
Typical cross sections of a cube.
Page 53
Summary.
Page 55
V.
The geometry of the cube
Drawing a cube.
Page 57
Three-dimensional space filling.
Page 61
Regular solids and duality.
Page 66
Skewed regular polygons.
Page 68
Pohlke’s theorem.
Page 70
Symmetries of the cube.
Page 70
Surface geodesics.
Page 77
VI.
Games with cubes
Prince Rupert’s cube.
Page 86
Soma blocks.
Page 89
The cube as a factoring lattice.
Page 89
The cube and probability.
Page 92
Coloring cubes.
Page 93
Cube cutting.
Page 96
Crazy cubes, or Instant insanity.
Page 99
Spelling and the cube.
Page 101
VII.
Curiosities of the cube
Hamiltonian routes and unicursal routes on the cube.
Page 102
Duplicating the cube.
Page 104
Shadow pictures.
Page 105
Measurements of the cube.
Page 106
The hypercube.
Page 107
Edition Notes
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| December 3, 2022 | Edited by ImportBot | import existing book |
| February 28, 2022 | Edited by ImportBot | import existing book |
| June 1, 2019 | Edited by MARC Bot | import existing book |
| March 14, 2010 | Edited by WorkBot | update details |
| December 10, 2009 | Created by WorkBot | add works page |