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Home Plane Geometry Diagonal Intersections Solution Probability Tesseracts An Inlaid Tesseract A Perfect Magic Tesseract Books by J. R. Hendricks Bbibliography.htm Material for Schools

Following are list of the published articles and books by John Hendricks.

Separate lists are provided for MAGIC SQUARES, STATISTICAL, METEOROLOGY, MISCELLANEOUS and BOOKS.

MAGIC SQUARES, CUBES, ETC.

1

Magic Forms, Magic Squares

VOXAIR, (Airforce mag.

Feb. 4, 1955
2

Magic Forms: Magic Cubes

VOXAIR, (Airforce mag.

May 14, 1955
3

The Five and Six-Dimensional Magic Hypercubes of Order 3

Canadian Math. Bulletin

5:2:1962:171-190
4

The Pan-4-agonal Magic Tesseract

 American Math Monthly

75:4:1968:384
5

The Third Order Magic Square Complete

 Journal of Recreational Math

JRM:5:1:1972:43-50
6

The Pan-3-agonal Magic Cube

  

JRM:5:1:1972:51-52
7

The Pan-3-agonal Magic Cube of Order-5

  

JRM:5:3:1972:205-206
8

Species of Third-Order Magic Squares & Cubes

  

JRM:6:3:1973:190-192
9

Magic Tesseracts & n-dimensional Magic Hypercubes

   JRM:6:3:1973:193-201
10

Magic Cubes of Odd Order

   JRM:6:4:1973:268-272
11

Pan-n-agonals in Hypercubes

   JRM:7:2:1974:95-96
12

A Pandiagonal Magic Square of Order-8

   JRM:7:3:1974:186
13

Magic Square Time

   JRM:7:3:1974:187-188
14

The Perfect Magic Cube of Order-4

   JRM:13:3:1980-81:204-206
15

The Pan-3-agonal Magic Cube of Order-4

   JRM:13:4:1980-81:274-281
16

Ten Magic Tesseracts of Order Three

  JRM:18:2:1986:187-188
17

Letter to the Editor Borders for 2nd-order square

   JRM:19:1:1987:42
18

The Third-Order Magic Square Complete

 Manitoba Math Teacher 15:2:Dec. 1986
19

Generating a Pandiagonal Magic Square of Order-8

 Journal of Recreational Math JRM:19:1:1987:55-58
20

A Ninth Order Magic Cube

   JRM:19:2:1987:126-131
21

Constructing Pandiagonal Magic Squares of Odd Order

   JRM:19:3:1987:204-208
22

Creating Pan-3-agonal Magic Cubes of Odd Order

   JRM:19:4:1987:280-285
23

Some Ordinary Magic Cubes of Order 5

   JRM:20:1:1988:125-134
24

A Magic Cube of Order 7

   JRM:20:1:1988:23-25
25

Pandiagonal Magic Squares of Odd Order

   JRM:20:2:1988:81-86
26

Magic Cubes of Odd Order by Pocket Computer

   JRM:20:2:1988:87-91
27

Problem 1549: An Odd Twist (solution by Alan W. Johnson)

   JRM:20:2:1988:152-153
28

The Diagonal Rule for Magic Cubes of Odd Order

   JRM:20:3:1988:192-195
29

More Pandiagonal Magic Squares

   JRM:20:3:1988:198-201
30

The Third Order Magic Tesseract

   JRM:20:4:1988:251-256
31

Another Magic Tesseract of Order-3

   JRM:20:4:1988:275-276
32

Creating More Magic Tesseracts of Order-3

   JRM:20:4:1988:279-283
33

Magic Cube Terminology

 Manitoba Math Teacher 17:2, Jan., 1989
34

Inlaying Magic Squares

 Manitoba Math Teacher 17:4, May, 1989
35

Groups of Magic Tesseracts

 Journal of Recreational Math JRM:21:1:1989:13-18
36

More and More Magic Tesseracts

   JRM:21:1:1989:26-28
37

The Pan-4-agonal Magic Tesseract of Order-4

   JRM:21:1:1989:56-60
38

The Determinant of a Pandiagonal Magic Square is 0

   JRM:21:3:1989:179-181
39

A 5-Dimensional Magic Hypercube of Order-5

   JRM:21:4:1989: 245-248
40

The Magic Tesseracts of Order-3 Complete

   JRM:22:1:1990: 15-26
41

Inlaid Odd Order Magic Squares

   JRM:24:1:1992:6-11
42

A Note on Magic Tetrahedrons

   JRM:24:4:1992:244
43

The Magic Hexagram

   JRM:25:1:1993:10-12
44

Frierson’s Fuddle

   JRM:25:1:1993:77
45

An Inlaid Magic Cube

   JRM:25:4:1993:286-288
46

Property of Some Pan-3-Agonal Magic Cubes of Odd Order

   JRM:26:2:1994:96-101
47

Inlaid Pandiagonal Magic Squares

   JRM:27:2:1995:123-124
48

Inlaid Magic Squares

   JRM:27:3:1995:175-178
49

An Approximation to Pi

   JRM:28:2:1997:158
50

Note on the Bimagic Square of Order-3

   JRM:29:4:1998:265-267
51

A Partial Magic Tesseract of Order Two

   JRM:29:4:1998:290-291
52

From Inlaid Squares to Ornate Cube

   JRM:30:2:1999:125-136
53 A Unified Classification System for Magic Hypercubes
( co-authored with Harvey D. Heinz)		   JRM:32:1:2003:30-36

STATISTICAL ARTICLES

  1. Extreme Temperature Recurrence, Atmospheric Environment Service, [AES] TEC 801,  15 February 1974.

  2. Probability and Time, Statistical Association of Manitoba, [SAM] Newsletter Vol.3, No. 3, January 1980.

  3. Notes on Probability and Time, SAM Newsletter, Vol.  3, No. 4, March 1980.

  4. Elliptic Arc Lengths, SAM Newsletter, Vol. 14, No. 7, 18 April 1981.

  5. Consistency in Forecast Precipitation Probabilities, Central Region Technical Notes, A.E.S. (Canada), November 28, 1982, No. 82-2.

  6. Probability Mean Time, AES, Central Region, Technical Notes, No. 83-1, January 17th 1983.

  7. The Standardized Normal Distribution Function and Your Pocket Computer, The Manitoba Mathematics Teacher, Vol. 15, No. 4, April 1987.

  8. Application of Cube-Root, The Manitoba Mathematics Teacher, Vol. 16, No. 1, September 1987.

  9. The Statistical Probability of Temperatures and Your Pocket Computer, SAM newsletter Vol.11, No. 5, 11 January 1988.

  10. The Statistical Probability of Precipitation and Your Pocket Computer, SAM Newsletter, Vol. 11, No. 6, 1 March 1988.

  11. Probability Mean Time, The Manitoba Mathematics Teacher, Vol. 16, No. 3, March 1988.

  12. Probability and Time, Self-published handout material for a talk to the joint meeting of the Statistical Association of Manitoba and the American Statistical Society, Red River Chapter held on the 16th day of April 1988 at the Senate chambers of the University of Manitoba,

  13. The Statistical Analysis of the Circumference of an Ellipse, SAM Newsletter, Vol. 14 No.5, 14th January 1991.

  14. An Analysis of the 1993 Summer Rainfall at Winnipeg, AES, October 1993, Internal Report Number SSD-W93-01, Scientific Services, Central Region.

                                                                                                                                

METEOROLOGY

  1. Meteorology, Exercises for Students at R.C.A.F. Station Gimli, Single A.F.S., Queens Printer, Winnipeg, 1957, Classified.

  2. A Problem in Single-Heading Flight for Jet Aircraft, AES, Circ. 3549, TEC 374, 15 October 1981, pp. 1-19

  3. Forecasting Takeoff Pressures, AES Circ. 3777, TEC 444, 19th December 1962.

  4. The Diurnal Pressure Graph, AES, Circ. 3802, TEC. 453, 19 February 1963.

  5. Using the Normal Curve for Temperature Frequencies, AES, TEC 765, 25 February 1972.

  6. Precipitation at Regina in June, AES, TEC 772, 18 July 1972.

  7. A Mirage, Zephyr Magazine, December 1972.

  8. A Mirage at Regina, Atmosphere, Vol. 1,1No. 1, 1973.

  9. A Probability Study of Extreme Temperatures Part I, Theory, AES Tec 789, 14 August 1973.

  10. A Probability Study of Extreme Temperatures Part II, Application to High Maxima, AES Tec. 790, 14 August 1973

  11. A Probability Study of Extreme Temperatures Part III, Application to Low Minima, High Minima and Low Maxima, AES, TEC 791, 14 August 1973.

  12. A Probability Study of Extreme Temperatures Part IV. Further Study, AES,  TEC 792, 16 November 1973.

  13. A Probability Study of Extreme Temperatures Part V, Results and General Conclusions, AES, TEC 806, 15 February 1974

  14. The Frequency of Thunderstorm Days at Regina, AES, TEC 799, 4 December 1973.

  15. Precipitation Probabilities at Regina, AES, TEC 809, 5 September 1974.

MISCELLANEOUS ARTICLES

  1. Russian Peasant Multiplication, VOXAIR,  23 August 1955

  2. The Canadian Monarchy, Saskatchewan Genealogical Society Bulletin, Vol. 9, No. 1, 1978.

  3. The Soul, The Ark, Vol. XLVIII, No. 1, (No. 129), April 1980.

  4. The Animal, The Ark, Vol. XLVIX, No. 1, (No. 132), Apr. 1981.

  5. Animal Group Names, The Ark, Vol. XLVIX, No. 1, (No. 132) , April 1981.

  6. A Straight Line, , Journal of Recreational Mathematics, Vol. 14:2, 1989, 8-88

  7. Consistency in Forecast Precipitation Probabilities, AES, Central Region Technical Notes, No. 82-2, Nov. 28, 1982.

  8. The High School Mathematics Club: A Model. The Manitoba Mathematics Teacher, Vol. 14, No. 4, April 1986.

  9. Large Factorial, Journal of Recreational Mathematics, Vol. 21(2), 1989

  10. Large Factorial, The Manitoba Mathematics Teacher, Vol. 16, No. 3, March 1988.

  11. Pythagoras Theorem, The Manitoba Mathematics Teacher, Vol. 17, No. 2, January 1989.

  12. A Point to Remember, The Manitoba Mathematics Teacher, Vol. 17, No. 3, March 1989.

  13. Correcting Imbalance, The Ark, No. 172, Winter 1994.

  14. An Approximation to the Area of a Regular Polygon, Journal of Recreational Mathematics, Vol. 31(2), 2002-2003

 BOOKS

Note that all of these books are now out of print.

  1.  The Magic Square Course., Unpublished, 1991, 554 pages 8.5 “ x 11” binding posts.
      Written for a high school math enrichment class he conducted for 5 years.
  2.  The Aspiring Scientist, self-published, 1993 26 pages plus covers, 8.5” x 11” flat stitched.
    Written for high school students. Includes diagrams of all 80 magic hexagrams and a program listing.
  3. A Magic cube of Order-10, Unpublished, 1998, 23 pages 8.5 “ x 11” flat stitched.
    With an inlaid cube of order-6 and adorned with 12 inlaid magic squares of order-6.
  4. Magic Squares to Tesseract by Computer, Self-published, 1998, 0-9684700-0-9
    212 pages plus covers, 8.5” x 11” spirol bound, 100+ diagrams.
    Lots of theory and diagrams, new methods and computer programs. 3 appendices.
  5. Inlaid Magic Squares and Cubes, Self-published, 1999, 0-9684700-1-7
    206 pages plus covers, 8.5” x 11” spiral bound, 100+ diagrams.
    Lots of theory and diagrams. Includes a list of 46 mathematical articles published in periodicals by the author.
  6. Inlaid Magic Squares and Cubes, 2nd Edition, Self-published, 1999, 0-9684700-3-3
    258 pages plus covers, 8.5” x 11” spiral bound, 100+ diagrams. Color cover, typeset pages, additional material. Edited by Holger Danielson.
  7. All Third-Order Magic Tesseracts, Self-published, 1999, 0-9684700-2-5
    36 pages plus covers, 8.5” x 11” flat stitched, 60+ diagrams.      Some theory. Lots of diagrams.
  8. Perfect n-Dimensional Magic Hypercubes of Order 2n, Self-published, 1999,
    0-9684700-4-1. 36 pages plus covers, 8.5” x 11” flat stitched, some diagrams.
     Theory with examples for a cube, tesseract and 5-D hypercube.
  9. Bimagic Squares: Order 9, self-published, 1999, 16 pages plus covers, 8.5” x 11” flat stitched.
  10. Curves and Approximations, self-published, 1999, 0-9684700-5-X,  pages plus covers, 8.5” x 11” flat stitched.
  11.  A Bimagic Cube of Order 25, self-published, 2000, 0-9684700-7-6, 16 pages plus covers, 8.5” x 11” flat stitched. Includes theory, equations, and a computer program to output the cube.
    (This beautifully printed, self-published booklet edited by Holger Danielsson lists the complete cube in diagram and text form.)
  12. Magic Square Lexicon: Illustrated, (co-author Harvey Heinz), HDH, 2000, 0-9687985-0-0, 184 + 44 pages. Perfect bound.

Last updated Sunday June 10, 2007

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