**Magic
Cubes **
Home Page |
A brief introduction to this
section and several other sections.
Then a Table of Contents with brief
descriptions and links to the following pages. |

** 1. Magic Cubes – The Basics** |
Magic cube parts, associated,
basic cube and aspects, coordinates, species. |

** 2.
Magic Cube Definitions** |
A discussion of common terms
relating to magic cubes. |

** 3.
Perfect Magic Hypercubes** |
My original page on perfect (nasik)
magic cubes. |

** 4.
Magic Cubes – The Road to Perfect** |
The progression to perfect (nasik)
cubes. Presented is 1 cube each of orders 3 to 11. |

** 5. The Early Cubes** |
15 different cubes from
Fermat's 1640 order 4 to Worthington's 1910 order 6. |

** 6. A. H. Frost’s Magic Cubes** |
8 assorted cubes published
by Rev. Frost in 1866 and 1878. |

** 7.
F. A. P. Barnard’s Magic Cubes** |
His perfect (nasik) orders 8
and 11. And other magic objects from his 1888 paper. |

** 8.
Magic Cubes – Order 3** |
The only four order 3 basic
cubes, and some variations. Other material. |

** 9.
Magic Cubes – Order 4** |
A number of order-4 cubes
with differing characteristics. |

**10. Magic Cubes – Order 5** |
8 different cubes, (1876 to
2001).The Trump/Boyer diagonal order 5 cube of 2003. |

**11. Magic Cubes – Order 6** |
A variety of 7 cubes,
published between 1838 and 1999. |

**12. Magic Cubes – Order 7** |
A variety of 7 cubes,
published between 1922 and 2001. |

**13. Magic Cubes – Order 8** |
A variety of 6 cubes,
published between 1908 and 2001. |

**14. Magic Cubes – Order 9** |
Three simple magic cubes, all
with slightly different features. |

**15. Magic Cubes – Order 10** |
Three simple magic cubes, one
of them with an order 6 inlaid cube. |

**16. Magic Cubes – Order 11** |
A simple, a pantriagonal, and
2 perfect order 11 cubes. |

**17. Magic Cubes – Order 12** |
A pantriagonal, a diagonal,
and a simple, but inlaid, order 12 magic cube. |

**18. Magic Cubes – Order 13** |
A pantriagonal and a perfect
cube. Also, an example of a broken plane. |

**19. Arnoux’s Perfect Cube** |
2 different order-15 and 2
different order-16. Arnoux's order-17 of 1887! |

**20. Arnoux Patterns** |
Patterns that it turns out
are present in a wide variety of magic cubes. |

**21. Modulo Magic Cubes** |
Seven order 5 cubes with line
sums evenly divisible by the same number. |

**22. Multimagic Cubes** |
Presenting the world's first
Bimagic and Trimagic cubes |

** a.
Boyer's Monster Cubes** |
Christian Boyer announcing
further advances in multimagic cubes and tesseracts. |

** b.
Boyer’s Bimagic Order 16 Cube** |
The complete listing Boyer's
bimagic order 16 cube of Jan. 23, 2003 |

** c.
Boyer’s Bimagic Order 32 Cube** |
The top horizontal plane of
Boyer's bimagic order 32 cube of Jan. 27, 2003 |

**23. Magic Cubes - Groups** |
Dudeney groups I to VI magic
squares and their magic cube equivalents. |

**24. Prime Number Magic Cubes** |
Two order 3 prime cubes. An
order 4 simple cube, and an order 4 pantriagonal. |

**25. Magic Cubes – Multiply** |
Three different types of
order 3 multiply cubes. An order 4 and an order 5 cube. etc. |

**26. Composition Magic Cubes** |
An order-9 and an order 12
cubes made up of smaller cubes. etc. |

**27. Hendricks` Inlaid Magic Cubes** |
Cubes (and a tesseract) with
multiple inlaid cubes and squares. 5 sections + 1 link. |

**28. The Heinz X6 Magic Cube** |
Description, pictures, and
listings of my wood block model of 6 order 4 cubes in one. |

**29. Self-similar Magic Cubes** |
Different types of
symmetrical cubes. Thanks Walter Trump! |

**30. Magic Cubes – Pan and Semi-pan** |
A description & comparison of
pandiagonal and semi-pandiagonal squares & cubes. |

**31. Unusual Magic Cubes** |
About 15 cubes that are not
magic in the ordinary sense, but are *unusual*! |

**32. Most-Perfect Magic Cubes** |
Discussion and examples of
the 3-D equivalent of the most-perfect magic square. |

** a.
Order-16
Perfect Cubes** |
Listings of two order 16
perfect magic cubes. Only one is most-perfect. |

**33. Summary of this Magic Cube Site** |
Concluding remarks, amazing
new advances in magic cube knowledge, & challenges! |

**34.
Magic Cube Update-1** |
Material that I received in
January, 2004. (Heterocube, Purely Pan cube, etc. |

**35.
Magic Cube Update-2** |
Material received to April
30, 2004. (Cubes (1757), Order 6 Projection cube, etc. |

**36.
Magic Cube Update-3** |
Received during the last nine
months of 2004. Nested order 16, A new class, etc. |

**37.
Magic Cube Update-4** |
Aug. 2005. More on Panmagic
ratios, Semi-diagonal magic order 4, etc. |

**38.
Magic Cube Update-5** |
May 2007. Magic cuboids,
Magic Knight Tours, transforms, links, etc. |

**39.
Magic Cube Update-6** |
Feb. 2010. Frost Order-9
model. More on Compact & Complete. Multiply order-4. |

**40.
Cube Timeline** |
5 sections, including First
cube of each class for each order, Timeline, References |