Magic Squares

I have been fascinated by numbers, and especially number patterns, since grade school. This site is my testament to that fact, and my wish to share the wonders of numbers!

Welcome

Home Page
Magic Squares (41 pages)
Magic Cubes (45 pages)
Magic Tesseracts (13 pages)
Magic Stars (26 pages)
Number Patterns (5 pages)
Bibliography
Book for Sale
Downloads
Glossary
Links
Full Site Map

Wherever there is number, there is beauty. __ Proclus (410-485 A.D.)

This site is best viewed at a window width of 1040 pixels.

June , 2013

I have a 785 book recreation math library I would like to give away.

This is now donated

Thanks to University of Alberta

Meta Development Special Materials Unit

Special Thanks to John Wright, Marlys Chevrefil & Regina Landwehr

Intro

This site has multiple sections, as shown in the left sidebar. Hopefully it will be of interest to middle and high school students and teachers, and anyone interested in recreational mathematics.

Most of the mathematics is simple arithmetic, but the many illustrations are meant to demonstrate the beauty of number patterns. The most recent section, Magic Tesseracts, is meant to show the relationship between dimensions. I also show a history of the development of magic squares, cubes, tesseract, etc.

More on the history of this collection of web pages is here.

My policy regarding credits on this site is here.

Because these pages are written using Microsoft FrontPage, they are best viewed using Internet Explorer. Formatting suffers somewhat in FireFox and some other browsers.

What

This WWW site is about numbers and the patterns that can be made from them.
Most patterns shown here should be understandable to anyone with about grade 5 math but will hopefully be of interest also to persons with advanced education..
The section on Magic Stars is mostly original work & includes material on Orders 5 to 14, a total of 30 patterns.
This site represents a very small proportion of the material I have in my notes. I hope to be adding to it frequently so please stay tuned.

Why

The true spirit of delight…is to be found in the mathematics as surely as in poetry.
__ Bertrand Russell (1872-1970)
To share my love of the subject with others.
To demonstrate that mathematics can be enjoyed by persons regardless of their education level.
To further the appreciation of mathematics and the understanding of number relationships.

Who

Who will enjoy this site?

Anyone who loves mathematics in general and numbers in particular.

Teachers looking for enrichment material for their math classes.

Who designed the patterns?

Probably most of these patterns have been around for many years and the original author is unknown. Some are of recent origin, and if the author is known has been credited here. And some are of my own original design (at least as far as I know).

Most of the Magic Star patterns and material shown here are my work.

Who am I?

I am a retired bookbinder and have no training in mathematics beyond high school.

I have been fascinated by number patterns and have been collecting them since I was a teenager.

For the last several years I have been researching magic stars and have made many interesting discoveries.

More information about myself and my family are on my Personal Home-page.

(Also more Magic Stars & Magic Squares)

Since about 2002 I have been concentrating on magic hypercubes (squares, cubes, tesseracts, etc.)

Who are you?

Presumably, because you are looking at this site, you too are interested in recreational mathematics.

Help explore the mysteries of magic stars. So far, I have been concentrating mostly on the relationships between the different orders. Aside from order-6, very little is known about the features of the individual orders.

If you too find this subject interesting, I would love to hear from you.

Tell me about yourself, your special interests, and your favorite number patterns.

ADP Pay Stub Template: Merging Mathematical Precision with Everyday Necessity

As we research numbers and their fascinating patterns across dimensions, from magic squares to tesseracts, we also recognize the importance of applying mathematical principles to our everyday lives. To that end, we're pleased to share a resource that many may find surprisingly useful: the ADP Pay Stub Template. This tool illustrates how numerical accuracy and attention to detail play a critical role in the practical matters of financial documentation.

Teachers looking for real-world applications to demonstrate math in action can use the ADP Pay Stub Template as a practical example. Students can learn not only about the math involved in financial transactions but also gain insights into personal financial management.

In keeping with our mission to share the wonders of numbers, the ADP Pay Stub Template is more than just a practical tool — it's a demonstration of the ubiquity of mathematical principles in our world. We invite you to explore this resource and perhaps find a new appreciation for the mathematics that underpins even the most mundane of our daily tasks. but also gain insights into personal financial management:

Just as precision is crucial in forming magic squares or solving complex equations, so too is it essential in the calculation and reporting of earnings, deductions, and taxes on a pay stub.

History of this site

A few pages of this collection were first posted to Geocities in March 1998 as www.geocities.com/CapeCanaveral/Launchpad/4057/.

The title of the Home page until this last posting was Magic Squares, Stars, & Other Number Patterns.

Over the years the collection grew in size and became www.geocities.com/~harveyh/. On Oct. 14/09 the entire site has been moved as is, to this new location, because Geocities has closed it's doors.

These (and other) early pages may be seen by going to the Internet Archive Wayback Machine.

December, 2007 Note: Much of this Introduction section is now dated. In recent years my interests have concentrated mostly on Magic hypercubes, resulting in a new site at http://members.shaw.ca/hdhcubes/, and more recently a tesseract site at http://members.shaw.ca/tesseracts/.

July 2009 Note: Because this site was developed over more then a decade, the material tends to be scattered over multiple pages. Rather then rewrite pages (maybe repeatedly), I have attempted to handle the problem with links between articles on various pages and with addendums added to original pages.

November, 2010 Note: In consolidating the three sites into one, I have retained this same policy, with only minor rewriting or reorganizing. All 3 original site are at one location now , with improved navigation and consistent formatting.

The above two sites (hdhcubes and tesseracts) are now redundant and will eventually be removed. They were required originally because I did not have the required memory capacity to combine all 3 as one unit.

Two sections, Magic Stars, and Number Patterns, are actually off the subject of Magic Hypercubes.

However, because these sections were prominent parts of the original site, I have included them on this new consolidated site.

All about Credits

My policy on all the pages of this WWW site is:

If I know of only one source for a pattern, acknowledge it (if possible, obtain permission to use it).

If I have multiple sources for a pattern with no indication of the original source, consider it public domain.

Consequently, if a pattern has no author indicated, I obtained it from multiple locations, or it is my own composition.

If you see a pattern on these pages that you feel you should receive credit for, please let me know the details, so I may reconsider my acknowledgment.

Knot 138
1998-11-17
About 2000
???
Jan. 2001

This page was originally posted May 1998

It was last updated June 21, 2013

1998-2009