Magic Squares to Tesseracts by Computer

by John R. Hendricks
ISBN 09684700-0-9, 31 December 1998
$32.00 CAN each, or $25.00 U.S. each
206 pages run on 22x28 cm paper, spiral bound, card covers, indexed.

 This book shows the method of construction of magic squares, magic cubes, and magic tesseracts by the use of modular equations. Matrices are in the appendix for those people wishing to do it that way. There is a large section on geometry. The BASIC program is given, that  the author used  in order to achieve the results in his TI –74 BASICALC programmable battery operated calculator. You might have to adapt the programs with slight changes to your particular computer. Many pages are devoted to showing the various aspects of cubes and tesseracts because of rotations and reflections.

 Shown and explained are the following:

·         What is meant by a pandiagonal magic cube.

·         What is meant by a pantriagonal magic cube

·         What is meant by a PERFECT cube.

·         Magic tesseracts of orders 3, 4, 5 are shown

·         The perfect magic tesseract of order 16 is explained in a separate paper, but the ground work is prepared..

Inlaid Magic Squares and Cubes,
2^nd Edition

by John R. Hendricks
Edited by: Holger Danielsson
ISBN 0-9684700-3-3, 14 July 2000.
$40.00 CAN each, or $32.00 U.S. each
255 pages on 22x28 cm paper, spiral bound, card covers, indexed.

 This book is especially written for the young people in Junior and Senior high schools who are interested in mathematics. It is meant as a source book or REFERENCE book. The method brings in algebraic digits, rather than algebraic numbers.. Most of the innovations are due to  the author’s very own lifetime pursuit of bigger and better magic squares.

But, even if you have not the time to actually make them yourself, where else can you obtain such a wide variety of almost every conceivable type of magic square.

 As you know, magic squares of orders 6, 10, 14, etc. are much more difficult to make than other orders. Well, there is a new technique for making them in the appendix of the book. There are:

            ·     Magic squares with inlaid diamonds

·     The world’s first inlaid magic cubes

·     The first magic square with interchangeable parts

·      Bimagic squares & inlaid bimagic squares

·      Magic squares of double order

·      Patchwork squares

Various Small Booklets for Sale
by John R. Hendricks

$8.00 CAN each, or $6.00 U.S. each
36 pages run on 22x28 cm paper, stapled, card covers

 All Third Order Magic Tesseracts
ISBN 0-9694700-2-5, 15 February 1999

This booklet contains the 58 basic magic tesseracts as well as the four basic magic cubes of order 3.

 Perfect n-Dimensional Magic Hypercubes of Order 2ⁿ
ISBN 0-9684700-4-1, 21 May 1999

This booklet contains the theory and the BASIC programs for the TI74 BASICALC calculator to produce both the 16^th order magic tesseract, and the 32^nd order 5-dimensional magic hypercube, as well.  A complete review is made of the definitions of “perfect” and why the new definition must prevail.

 Curves and Approximations
ISBN 0-9684700-5-X, 4 September 1999

This booklet contains sundry papers, (non-magic square ones,) which the author has published elsewhere.
  Many curves cannot be plotted by  the curve-plotting calculators that abound. This is because x cannot be solved for y, or y for x. There is another way. Teachers teach the area of an ellipse, but not the circumference, even though a very close approximation is available. There are many new curves which are shown that have loops on them, such as the Cosine Nodosus.

Magic Square Lexicon: Illustrated

written by H. D. Heinz and John R. Hendricks

is a true reference book. It has been put together by two men both of whom have a lifetime of  knowledge and experience in magic squares, cubes and related items.

 Harvey Heinz is a mathematical hobbyist. He has pursued magic circles, spheres, stars, polygrams and a wide range of other mathematical novelties and
oddities.

John Hendricks by contrast, decided to pursue magic hypercubes in higher dimensional spaces and to unravel and publicize their mystery.

 There is nothing else on the market like it.

Everything you wanted to know and more.

Definitions à  Limits à Examples
à Illustrations à Terminology à

Included are two appendices of bibliographies.

ISBN 0-9687985-0-0,  244 pages 5 ¼ x 8, Perfect bound.

 order From H. D. Heinz on the Internet at http://www.magic-squares.net/BookSale.htm

Bibliography