# Magic Hypercubes Site Map

This page includes links to all of the pages on this large site. As mentioned elsewhere, this site is a consists of material originally published over a period of more then a decade and assembled online in 3 different sites. Very little effort has been made to reorganize the material from the original piece-by-piece assembly.

Hopefully, this page will be of assistance in understanding the layout and finding your way to similar material appearing in different areas. The numbers before the links indicate the order of the pages if using the back and forward arrows at the bottom of each page.

 Squares Cubes Tesseracts Stars Numbers

 Magic Tesseracts             Home Page This page has a brief description of what a tesseract is, and illustrates the main parts. Then descriptions and links to the remaining pages in this section. 1.  Magic Hypercubes - Overview A general overview of magic squares, cubes, tesseract, etc. Their interrelationships and summations 2.  Hypercube Representations A review of how magic squares and cubes have been presented in publications, etc. through the ages. 3.  Hypercube Representations - 2 A review of how the forth dimension and magic tesseracts have been illustrated (over a shorter time period). 4.  Order-3 Magic Tesseracts Features of order 3 hypercubes and illustrations and listing for all 58 basic order-3 tesseracts 5.  Hypercube Aspects Illustrates the 8 aspects of the magic square and 48 aspects of the magic cube. The tesseract has 384 aspects 6.  Hypercube Classes Reviews classes of magic squares and cubes. Minimum requirements for the 18 of magic tesseract classes 7.  Associated Hypercubes Discusses features of  associated magic hypercubes, and embedded hypercubes of lower dimensions 8.  Hypercube Math Equations and comparison tables. Demonstrates close relationship between hypercubes of different dimensions 9.  More Tesseracts Orders 5 and 6 tesseracts, Inlaid tesseract, perfect tesseracts, plus links to some previously posted on other sites 10. Hypercube - Cross-stitch A picture and discussion of a cross-stitch project demonstrating features of square, cube, and tesseract 11. Tesseract Knight Tour Awani Kumar has successfully constructed an order 4 tesseract containing a magic knight tour 12. The Unfolded Tesseract Showing the 3-D illustration of a 4_D tesseract flattened out to 2 Dimensions to show all 24 faces 13. Tesseracts - Update 2013 Hypercube Summary Table - Recent developments - Contributors to Magic Tesseract theory  - The 5-D Challenge

 Magic Stars     Home Page Contains a basic definition of Magic Stars and the similarity to Magic Squares. Also links to other pages in this section.   Off the main topic, but one of two original postings! 1. Magic Stat Definitions Defines magic stars in more detail divided into 9 sections 2. Magic Star Examples 16 example diagrams of magic stars of orders 5 to 11 3. Magic Star Examples-2 Examples of the 14 patterns of orders 12 to 14 4. Big Magic Stars 7 examples of some patterns of m. stars of orders 15 to 20 (Simon Whitechapel) 5. Order-5 Magic Stars 9 sections on order-5 m. stars, including almost-magic, anti-magic, tree-planting 6. Order-6 Magic Stars Characteristics, early solutions solvers, twenty sets of four, super-magic stars, etc. 7. Order-6 Solution List A tabular listing of the 80 basic solutions along with additional features 8. H. E. Dudeney Features Features of the order-6 m. stars that were first reported by H. E. Dudeney in 1926 9. Order-7 Magic Stars Features and a tabular listing of the 72 basic solutions of each of the 2 patterns 10. Order-8 Magic Stars Features and a tabular listing of the 112 basic solutions of each of the 2 patterns 11. Order-9 Magic Stars Features and partial lists of 3014 pattern A and 1676 patterns B and C solutions 12. Order-10 Magic Stars Features and partial lists of 10,882 patterns A and C, and 115,552 pattern B 13. Order-11 Magic Stars Features and partial lists of  of patterns A, B, C, and D. 14. Prime Number Magic Stars All basic solutions for orders 5 and 6 minimal and consecutive primes 15. Prime Number Magic Stars-2 All basic solutions for orders 7 and 8 minimal and consecutive primes 16. Unusual Magic Stars 12 sections, such as five-in-one, multiplying hexagram, 6 in 6, 8 in 8, etc. 17. Isomorphic Magic Stars 8 sections about magic stars derived from magic squares 18. Magic 9 x 5 Hexagrams Special 6 pointed stars composed of 9 lines of 5 numbers 19. 3 - D Magic Star The only possible (?)  3 dimensional magic star has 12 lines of 3 numbers 20. Trenkler Stars A special class of magic star (type T). Also 'weakly' and almost-magic' 21. Magic Star Puzzles Photographs and diagrams of magic star puzzles published over time 22. Star Updates Tree planting problems and a fractional star a.   Simon Whitechapel Some of his investigations into magic stars (mostly big stars) b.  Jon Wharf Jon confirmed my counts for the orders 5 - 11 using different methods c.  Andrew Howroyd Andrew also confirmed counts for 6-13. He investigated orders 10-11 permutations

 Magic Numbers          Home Page An introduction and some general number patterns. Links to other pages in this section. Off the main topic, but one of two original postings! 1. Prime Patterns 45 patterns consisting of prime numbers 2. More Prime Patterns 21 sections. Most have several related patterns. One is of prime number plots 3. Narcissistic Numbers 24 sections. Most have several related patterns. 4. Palindromes 7 sections devoted to palindromic numbers.

 This page was originally posted _____ It was last updated March 23, 2013 Harvey Heinz   harveyheinz@shaw.ca Copyright © 1998-2009 by Harvey D. Heinz