
This page contains links to files related to number
patterns that may be downloaded.
Downloading a desired file is as simple as just clicking on the link.
These posted files as ready to use if they are not too large. The larger
files will be supplied in compressed form to save storage space and
download time
Included are MS Word, TXT, and Adobe
PDF documents and Excel
spreadsheets.
None of these files include scripts.
Also, included are listings for a
number of Basic programs. Most are small and of
limited use, but I include them to give modern readers a taste for the
early days of personal computing.
March 2013 Uploaded most of J. R. Hendricks
outofprint books for downloading as eBooks.
About viruses
I meticulously protect my computer from viruses by scanning all
drives periodically, scanning all incoming email,
MS Word, Excel, and program files.
However, while I believe all the files
posted here are free of viruses, it is expedient on the downloader to
rescan these files.
I expect no problems as a result of downloading any
of the files posted here, but accept no responsibility for damage of any
kind caused by such downloading .


402 kb 
144 order5 pandiagonal
magic squares derived from the 36 essentially different ones. 

175 kb 
All 880 4x4
magic squares sorted by groups. (unzipped 661 kb) 

175 kb 
All 880 4x4
magic squares sorted by Frenicle index. (unzipped 667 kb) 

33 kb 
A number
pattern based on the cyclic number 1/17. I did this about 1960. 

236 kb 
Notes and
lists of PPDI numbers and RDI cycles. 

29 kb 
A small text
file of star A solutions, orders 15  50, supplied by Simon Whitechapal,
Sept. 9, 2003. 
ArnouxCube.doc 
64 kb 
Some text
description and a listing of the 17 horizontal planes of G. Arnoux's 1887
perfect cube. 
Barnard11.doc 
44 kb 
Listings of F.
A. P. Barnard's two order 11 Perfect magic cubes of 1888 
CubeComparison.doc 
716 kb 
A table
comparing 16 characteristics of my collection of approximately 340 magic
cubes. 
KarnaughtoCubes.doc 
133 kb 
A paper by S.
Meine and D. Schuett which transforms Karnaugh maps into magic squares or
cubes. 
Tess_58.doc 
100 kb 
A 6 page MS Word document with complete listings for all
58 of the order3 magic tesseracts. 
Tess_58.pdf 
140 kb 
Identical to above, only in Adobe pdf format. 
Kumar_12KT,doc 
43 kb 
Listing for Awani Kumar's order12 Magic cube Knight tour
of June 2007 
New_Advances_(4).doc 
54 kb 
A condensed report by Lee Sallows of which the following
2 articles resulted. 
880 New
Squares.doc 
127 kb 
Lee Sallows shows a set of 880 order4 magic squares
using the number set 1 to 18 with no 5 or 14. 
MS1040.txt 
75 kb 
Lee Sallows shows a set of 1040 order 4 magic squares
using the number set 8 to 1 and 1 to 8. He conjectures that this is the
only set possible that contains more then 880 magic squares. 
Nonnormal Graphic Types 
145 kb 
Lee Sallows identifies 22 additional Dudeney style diagrams and
shows a representative magic square for each. 
Bao Qishou.pdf 
1569 kb 
Lih, KoWei, Bao Qishou and his Polyhedral Hun Yaun
Yu. 1993, Chenghung Lin and Daiwie Fu (Eds.), Philosophy and Conceptual
History of Science in Taiwan, pps 209220. 12 page English paper on Bao
Qishou. Referenced in Perimeter4.htm. 
Graph
Labelling.pdf 
1951 kb 
Lih, KoWei, On Magic and Consecutive Labelling of
plane graphs, 1980, 33 pages, , Utilitas Mathematica, 24(1983),
p.165p.197. No mention of Bao, but lots of magic labelled graphs. 

49 kb 
A template I
use for testing if a square is magic. Presently tests orders 39 and 16. 

37 kb 
Tests order13
magic squares for Quadrant Magic Square properties. 

177 kb 
Test
spreadsheet for the variation of Franklin's newly discovered 16x16, as shown
on my Franklin page. 

59 kb 
An Excel
spreadsheet listing many Anurag Sahay's heterosquare and antimagic squares. 

738 kb 
Am Excel
document sorted list of all 3600 5x5 pandiagonal magic squares. 

123 kb 
A zipped Excel
document sorted list of all 3600 5x5 pandiagonals. 
Compact_8MS.zip 
144 kb 
A zipped Excel
document comparing features of 7 order 8 Franklin type compact squares, 
Hypercube Generator3.xls 
104 kb 
Generate the 4
basic cubes and 58 basic tesseracts of order 3 from signature catalogs. 
ArnouxPatterns.zip 
199 kb 
An archive of
6 spreadsheets I used to check out these patterns. 
Nakamura.zip 
1218 kb 
An archive of
Nakamura's order 16 diagonal nested magic cube with test spreadsheets of the
other 6 even orders <16. 
Perfect2a.zip 
262 kb 
Cubes of
orders 3 to 6 as shown on the Perfect Cubes2 page but in test spreadsheets. 
Perfect2b.zip 
382 kb 
Cubes of
orders 7 to 9 as shown on the Perfect Cubes2 page but in test spreadsheets. 
Perfect2c.zip 
224 kb 
Cubes of
orders 10 and 11 as shown on the Perfect Cubes2 page but in test
spreadsheets. 
QMS_412Patterns.xlsx 
82 kb 
The quadrant patterns for orders 4, 8
and 12. and some squares and tests 
QMS_16Patterns.xlsx 
172 kb 
The quadrant patterns for order 16 and
and some squares and tests 
Tesseract SurfaceKT.xls 
48 kb 
A diagram of the flattened order8 tesseract with a magic
knight tour 
MS Excel files by John Hendricks

33 kb 
3D diagrams of 2 order 3 cubes are
displayed with provision to enter values for c, x, y and z. A catalog of the
values for each of the four basic magic cubes is given. 1 of the two
diagrams can be set up to display a basic cube, then values from another
corner of this cube may be entered to display one of it's 48 aspects in the
second diagram. 

16 kb 
This interactive display reveals the
number of each of 13 characteristics for the order and dimensions of the
object entered. 

303 kb 
This program uses Digital Equations to
trace a path through a magic square. 

43 kb 
Investigate the world's first perfect
magic Tesseract. This interactive spreadsheet displays the 16 numbers in any
of the 40 lines starting at any coordinate of this order 16, dimension 4
hypercube.
Perfect means that this tesseract has all panquadragonals
correct, and all 64 cubes and 1536 squares contained in it are also perfect. 

38 kb 
3D diagrams of each of the 4 order 3
basic magic cubes are shown in this interactive spreadsheet. Provision is
made for entering values for the lower left corner and the 3 numbers
adjacent to it, so as to provide a different aspect of one of these 4
cubes. 

17 kb 
Shows any of the 8 variations of the
order3 magic square. 

36 kb 
Shows any of the 38 variations of the 4
order3 magic cubes. 

151 kb 
Shows any of the 384 variations of the 58
order3 magic tesseracts. 
I have a great many programs on recreational
mathematics that have been written in QuickBasic 4.5 (or older Basics) over
about 35 years.
Most of them are now of no practical value (and Quick Basic is now an antiquated
language). However, modern readers may like to read the listings to get a taste
of early amateur programming.
These programs could have been posted as
executable files, but then could not be freely downloaded because of Internet
security. Therefore, the source code is posted here as a text file.
That leaves you, the reader, with three
options.

If you have QB45 installed on your
computer, you may load this file directly into QB.

You may rewrite the source code for Visual
Basic, or simply look at the text file to
get ideas.
( Because some of this code is 1/3 century old, and also because I am not a
trained programmer, do not expect to see clever programming examples.)

Email me for a copy of the program.
Bytmaker.txt 
2kb 
Steps through the
decimal #'s 1255 showing the binary bits and ASCII characters. 
Conv2Dec 
3kb 
A simple but useful
program that converts 2 to 4 digit base 2 to 9 numbers to decimal. 
DecRnum.txt 
5kb 
Counting 1 to 2000 and
conversion between Decimal and Roman Numerals. 
Factors.txt 
2kb 
Finds factor pairs and
determines if # is square, prime, perfect, abundant, or deficient. 
FastPie.txt 
1 kb 
A fast method of
computing Pi to 15 decimal places. 
FourSqr.txt 
4kb 
Finds all 880 order4
magic squares and lists them in Frenicle index order. 
HCFactor.txt 
2kb 
Finds the highest
common factor of 2 integers with a total of <26 digits. 
Magic12.txt 
59 kb 
Source code for a program first written
in 1993 to demonstrate various m.square routines. 
MgSqrOdd.txt 
3kb 
Constructs odd order
m. squares. choice of size 313, starting number and start position. 
Pan5x5.txt 
17 kb 
Source for a program that produces a list
of 144 or all 3600 order5 pan magic squares. 
PerProd.txt 
2kb 
A Perfect Product
number is one whose prime factors are all unique prime numbers. 
PFactors.txt 
2kb 
Finds the prime
factors of a number of up to 7 digits. 
PrimeNum.txt 
9kb 
Generate prime numbers
to 32767. Also test for. Also 3 different prime plots. 
Sqr4Comp.txt 
8kb 
Finds complement pairs
and other features from data generated by FourSqr.bas. 
Star_6.txt 
12kb 
One of the series of
programs I used to find magic star solutions. This one finds order6. 
John Hendricks Books
All of John Hendricks selfpublished books have been
converted to PDF eBooks. I have made the smaller books available for free
downloading
from this page.
At a later date I may add the larger books, so please advise me by email if
you download any of these.
Click on the link to start the
download. Then view with Adobe Reader.
4D Images.pdf 
8,328 kb 
Images From the Forth Dimension,
selfpublished, 1993, 26 pages plus covers, 8.5" x
11" flat stitched.
Hendricks lattice representation of the tesseract
showing the 8 cubes. also covers Pentatope, Tetratope & hypersphere. 
BiMagicC25.pdf 
1,541 kb 
A Bimagic Cube of Order 25,
selfpublished, 2000, 0968470076, 18 pages plus
covers, 8.5" x 11" flat stitched. Includes theory,
equations, and a computer program to output the cube. 
BiMagicC252.pdf 
18,178 kb 
A Bimagic Cube of Order 25 v. 2,
selfpublished, 2000, 0968470076, 48 pages plus
covers, 8.5" x 11" flat stitched. This beautifully
printed, selfpublished booklet edited by Holger Danielsson lists the
complete cube in diagram and text form. 
BimagicS9.pdf 
1,468 kb 
Bimagic Squares: Order 9, selfpublished,
1999, 16 pages plus covers, 8.5" x 11" flat stitched.
Sent to J. Hendricks by David M. Collison
(19371991 with no explanation just before he died. 
Inlaid comples24.pdf 
4,719 kb 
An Inlaid Complex Magic Square of Order19 With
Interchangable Parts, 20 pages plus covers, 8.5" x
11" flat stitched. Included in pp 8299 of Inlaid Magic
Squares and Cubes. 2nd Edition. 
Inlaid Order10.pdf 
4,089 kb 
A Magic cube of Order10, Unpublished, 1998,
23 pages 8.5 " x 11" flat stitched.
With an inlaid cube of order6 and adorned with 12
inlaid magic squares of order6. 
InlaidTess.pdf 
2,066 kb 
An Inlaid Magic Tesseract, A poster
folded to 8 pages 8.5" x 11",
Published for free distribution with sale of other books.
An order6 tesseract with an inlaid order3 tesseract.. 
Lexiconv2.pdf 
2,072 Kb 
Magic
Square Lexicon: Illustrated.
HDH Publishing,
2000, 0968798500.Coauthored with Harvey D. Heinz
239 terms defined, about 200 illustrations
and tables, 171 captioned. 
Magic Hypercubes.pdf 
7,449 Kb 
Magic Hypercubes,
selfpublished, 1988, 22 pages plus covers, 8.5" x 11" flat stitched.
Theory and examples of all 59 order3 Tesseracts. 
MSofDO2.pdf 
2,962 Kb 
Magic Squares of Doubled
Order, 2nd Edition, 16 pages 8.5 " x 11" flat stitched. Edited by Holger
Danielsson
This typeset edition includes an alternative method of
construction these magic squares. Includes examples of order10 and 18
inlaid magic squares. 
Order3MT.pdf 
2,786 Kb 
All ThirdOrder Magic Tesseracts,
Selfpublished, 1999, 0968470025, 36 pages plus
covers, 8.5" x 11" flat stitched, 60+ diagrams.
Some theory including discussion of species.
Diagrams of all 58 Order3 magic tesseracts. 
Perfect.pdf 
3,464 Kb 
Perfect nDimensional Magic Hypercubes
of Order 2^{n}, Selfpublished, 1999, 0968470041. 36 pages
plus covers, 8.5" x 11" flat stitched, some diagrams.
Theory with examples for a cube, tesseract, 5D
and 6D hypercubes.
A Basic program to generate any desired path for a 5D order32 nasik
magic hypercube! 
ZHendricks_Permission.pdf 
378 Kb 
Copy of agreement to allow free
distribution of John Hendricks material. 
