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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.
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 .
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549 kb |
There are still a few
copies of the 2nd run of The
Magic Cube Lexicon : Illustrated available!
This is a free PDF version of the first one-quarter of the book. |
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402 kb |
144 order-5 pandiagonal
magic squares derived from the 36 essentially different ones. |
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175 kb |
All 880 4x4
magic squares sorted by groups. (unzipped 661 kb) |
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175 kb |
All 880 4x4
magic squares sorted by Frenicle index. (unzipped 667 kb) |
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33 kb |
A number
pattern based on the cyclic number 1/17. I did this about 1960. |
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236 kb |
Notes and
lists of PPDI numbers and RDI cycles. |
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29 kb |
A small text
file of star A solutions, orders 15 - 50, supplied by Simon Whitechapal,
Sept. 9, 2003. |
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ArnouxCube.doc |
64 kb |
Some text
description and a listing of the 17 horizontal planes of G. Arnoux's 1887
perfect cube. |
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Barnard-11.doc |
44 kb |
Listings of F.
A. P. Barnard's two order 11 Perfect magic cubes of 1888 |
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CubeComparison.doc |
716 kb |
A table
comparing 16 characteristics of my collection of approximately 340 magic
cubes. |
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InlaidTess.pdf |
2065 kb |
A 6 page
booklet illustrating John Hendricks order-6 magic tesseract with an inlaid
order-3 magic tesseract. |
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Karnaugh-to-Cubes.doc |
133 kb |
A paper by S.
Meine and D. Schuett which transforms Karnaugh maps into magic squares or
cubes. |
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Tess_58.doc |
100 kb |
A 6 page MS Word document with complete listings for all
58 of the order-3 magic tesseracts. |
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Tess_58.pdf |
140 kb |
Identical to above, only in Adobe pdf format. |
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Kumar_12-KT,doc |
43 kb |
Listing for Awani Kumar's order-12 Magic cube Knight tour
of June 2007 |
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New_Advances_(4).doc |
54 kb |
A condensed report by Lee Sallows of which the following
2 articles resulted. |
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880 New
Squares.doc |
127 kb |
Lee Sallows shows a set of 880 order-4 magic squares
using the number set 1 to 18 with no 5 or 14. |
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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. |
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Non-normal Graphic Types |
145 kb |
Lee Sallows identifies 22 additional Dudeney style diagrams and
shows a representative magic square for each. |
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Bao Qi-shou.pdf |
1569 kb |
Lih, Ko-Wei, Bao Qi-shou and his Polyhedral Hun Yaun
Yu. 1993, Cheng-hung Lin and Daiwie Fu (Eds.), Philosophy and Conceptual
History of Science in Taiwan, pps 209-220. 12 page English paper on Bao
Qi-shou. Referenced in Perimeter-4.htm. |
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Graph
Labelling.pdf |
1951 kb |
Lih, Ko-Wei, On Magic and Consecutive Labelling of
plane graphs, 1980, 33 pages, , Utilitas Mathematica, 24(1983),
p.165-p.197. No mention of Bao, but lots of magic labelled graphs. |
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49 kb |
A template I
use for testing if a square is magic. Presently tests orders 3-9 and 16. |
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37 kb |
Tests order-13
magic squares for Quadrant Magic Square properties. |
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177 kb |
Test
spreadsheet for the variation of Franklin's newly discovered 16x16, as shown
on my Franklin page. |
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59 kb |
An Excel
spreadsheet listing many Anurag Sahay's heterosquare and anti-magic squares. |
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738 kb |
Am Excel
document sorted list of all 3600 5x5 pandiagonal magic squares. |
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123 kb |
A zipped Excel
document sorted list of all 3600 5x5 pandiagonals. |
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Compact_8-MS.zip |
144 kb |
A zipped Excel
document comparing features of 7 order 8 Franklin type compact squares, |
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Hypercube Generator-3.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. |
| Perfect-2-a.zip |
262 kb |
Cubes of
orders 3 to 6 as shown on the Perfect Cubes-2 page but in test spreadsheets. |
| Perfect-2-b.zip |
382 kb |
Cubes of
orders 7 to 9 as shown on the Perfect Cubes-2 page but in test spreadsheets. |
| Perfect-2-c.zip |
224 kb |
Cubes of
orders 10 and 11 as shown on the Perfect Cubes-2 page but in test
spreadsheets. |
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QMS_4-12-Patterns.xlsx |
82 kb |
The quadrant patterns for orders 4, 8
and 12. and some squares and tests |
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QMS_16-Patterns.xlsx |
172 kb |
The quadrant patterns for order 16 and
and some squares and tests |
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Tesseract Surface-KT.xls |
48 kb |
A diagram of the flattened order-8 tesseract with a magic
knight tour |
MS Excel files by John Hendricks
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33 kb |
3-D 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. |
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16 kb |
This interactive display reveals the
number of each of 13 characteristics for the order and dimensions of the
object entered. |
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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 pan-quadragonals
correct, and all 64 cubes and 1536 squares contained in it are also perfect. |
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38 kb |
3-D 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. |
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17 kb |
Shows any of the 8 variations of the
order-3 magic square. |
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36 kb |
Shows any of the 38 variations of the 4
order-3 magic cubes. |
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151 kb |
Shows any of the 384 variations of the 58
order-3 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.
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If you have QB45 installed on your
computer, you may load this file directly into QB.
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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.)
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E-mail me for a copy of the program.
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Bytmaker.txt |
2kb |
Steps through the
decimal #'s 1-255 showing the binary bits and ASCII characters. |
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Conv2Dec |
3kb |
A simple but useful
program that converts 2 to 4 digit base 2 to 9 numbers to decimal. |
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DecRnum.txt |
5kb |
Counting 1 to 2000 and
conversion between Decimal and Roman Numerals. |
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Factors.txt |
2kb |
Finds factor pairs and
determines if # is square, prime, perfect, abundant, or deficient. |
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FastPie.txt |
1 kb |
A fast method of
computing Pi to 15 decimal places. |
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FourSqr.txt |
4kb |
Finds all 880 order-4
magic squares and lists them in Frenicle index order. |
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HCFactor.txt |
2kb |
Finds the highest
common factor of 2 integers with a total of <26 digits. |
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Magic12.txt |
59 kb |
Source code for a program first written
in 1993 to demonstrate various m.square routines. |
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MgSqrOdd.txt |
3kb |
Constructs odd order
m. squares. choice of size 3-13, starting number and start position. |
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Pan5x5.txt |
17 kb |
Source for a program that produces a list
of 144 or all 3600 order-5 pan magic squares. |
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PerProd.txt |
2kb |
A Perfect Product
number is one whose prime factors are all unique prime numbers. |
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PFactors.txt |
2kb |
Finds the prime
factors of a number of up to 7 digits. |
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PrimeNum.txt |
9kb |
Generate prime numbers
to 32767. Also test for. Also 3 different prime plots. |
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Sqr4Comp.txt |
8kb |
Finds complement pairs
and other features from data generated by FourSqr.bas. |
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Star_6.txt |
12kb |
One of the series of
programs I used to find magic star solutions. This one finds order-6. |
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