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*Downloadable files in red!*

- April 2006
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- February 2004
- November 2003
- September 2003
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- March 2003
- November 2002
- July 2002

- Records table
- Bimagic square of order 8
- Trimagic square of order 128
- Trimagic square of order 64
- Trimagic square of order 32
- Portrait of William Benson in 1966
- Biography of William Benson by
the
*Carlisle Sentinel* - Biography of William Benson by the president of the Dickinson College
- Benson.zip Image of the 32nd-order trimagic square of William Benson
- BensonXLS.zip 32nd-order trimagic square of William Benson
- Other sample of a 32nd-order trimagic square
- Trimagic square of order 12
- Tetramagic square of order 512
- Tetra.zip 512th-order tetramagic square of Christian Boyer and André Viricel
- Eulogy to André Viricel, written (in French) by Yves Roussel
- Tetramagic square of order 256
- Tetramagic square of order 243
- Pentamagic square of order 1024
- Pentamagic square of order 729
- Hexamagic square of order 4096
- Highly multimagic squares
- Biography of Charles Devimeux (in French)

- Magic squares of squares
- Beginning
of the article "Some notes on the magic squares of squares problem"
published in
*The Mathematical Intelligencer* - Supplement to the article
- Open problems from the article
- Lecture presenting the main points of the article
- Photo of Christian Boyer during the lecture
- LectureAmiens.pps English version in PowerPoint 2003 format
- ConferenceAmiens.pps Original French version in PowerPoint 2003 format
- List of figures of the article and its supplement
- References from the article
- Search.pdf A search for 3x3 magic squares having more than six square integers among their nine distinct integers, by Christian Boyer
- Bremner1.pdf
On squares of squares, by Andrew Bremner, from
*Acta Arithmetica* - Bremner2.pdf
On squares of squares II, by Andrew Bremner, from
*Acta Arithmetica* - Buell.pdf A search for a magic hourglass, by Duncan Buell
- Sallows.pdf
The lost theorem, by Lee Sallows, from
*The Mathematical Intelligencer* - Thanks
to

- First known 4x4 to 7x7 magic squares of squares

- Smallest bimagic square
- 3rd or 4th-order bimagic square?
- Demonstration (in French) of the impossibility of 3rd and 4th-orders bimagic squares by Edouard Lucas
- Demonstration of the impossibility of non-normal 4th-order bimagic squares by Luke Pebody
- 5th-order bimagic square?
- 6th-order bimagic square?
- 7th-order bimagic square?
- D.N.
Lehmer and the smallest bimagic square problem

- Smallest bimagic square using distinct integers

- Smallest trimagic square
- 7th-order trimagic square? Or smaller order?
- 8th-order trimagic square?
- 9th-order trimagic square?
- 10th-order trimagic square?
- 11th-order trimagic square?

- 12th to 16th-order bimagic and trimagic squares
- 12th-order bimagic and trimagic squares?
- 13th-order bimagic and trimagic squares?
- 14th-order bimagic and trimagic squares?
- 15th-order bimagic and trimagic squares?
- 16th-order bimagic and trimagic squares?
- 16th-order non-normal trimagic squares
- Collison.xls 16th-order non-normal trimagic square of David Collison
- Gueron.xls 16th-order non-normal trimagic square of Jacques Guéron
- MutianQinwu.xls 16th-order normal trimagic square of Chen Mutian and Chen Qinwu
- Tri16Story.doc Story of the 16th-order normal trimagic square of Chen Mutian and Chen Qinwu

- 17th to 64th-order bimagic and trimagic squares
- Jacques Guéron's bimagic squares: 17th and 19th-orders
- Gueron17.xls 17th-order bimagic square of Jacques Guéron
- Gueron19.xls 19th-order bimagic square of Jacques Guéron, with construction method (in French)
- Biography of Jacques Guéron (in French)
- Su Maoting's bimagic squares: 20th, 28th and 36th orders (and 24th-order)
- Chen Qinwu's bimagic square: 24th-order
- Li
Wen's bimagic square: 35th-order

Pan Fengchu's bimagic squares: 40th, 45th and 48th-orders (and 35th-order)

- Multimagic series for squares
- Table
- Bima6.xls Bimagic series for squares of order 6
- Bima7.zip Bimagic series for squares of order 7
- Bima8.zip Bimagic series for squares of order 8
- Trima8.zip Trimagic series for squares of order 8
- Trima9.xls Trimagic series for squares of order 9
- Trima11.zip Trimagic series for squares of order 11
- Tetra12.xls Tetramagic series for squares of order 12
- Tetra13.xls Tetramagic series for squares of order 13
- Estimations, orders 13 to 20, by Walter Trump
- Proof on non-existence of tetramagic series of order 15, by Robert Gerbicz

- Unsolved multimagic problems

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- Smallest possible pandiagonal Sudoku
- PanSudoku25x25.pdf
A 25x25 example, the smallest possible pandiagonal Sudoku, letter published
in
*Mathematics Today*

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- The smallest possible multiplicative magic squares

- Perfect magic cubes
- What is the smallest possible perfect cube?
- Image of the first perfect magic cube of order 5, of Walter Trump and Christian Boyer
- Perfect cubes of order 3 and 4 are impossible
- The four magic cubes of order 3
- Image of Fermat's cube of order 4
- Fermat's letter (in old French) to Mersenne including his cube of order 4
- Fermat.xls Cube of order 4, of Pierre de Fermat
- Demonstration that the center of a perfect magic cube of order 5 is 63, by Richard Schroeppel
- Biography of Richard Schroeppel
- perfect-5-cube.xls First perfect magic cube of order 5, of Walter Trump and Christian Boyer
- Articles published in the world after the discovery of the first perfect magic cube of order 5
- Image
of the first perfect magic cube of order 5 published in
*Science & Vie* - Image
of the first perfect magic cube of order 5 used on the cover
of
*Mathematics for Elementary Teachers*, 7th edition - TST070104.pdf
Federico Peiretti's
article published in
*La Stampa* - LR373_CubesMagiques.pdf
Christian Boyer's article published in
*La Recherche* - What is a "perfect" magic cube?
- What are the first published perfect cubes?
- First perfect cube of order 7
- Frost.xls Perfect cube of order 7 of Rev. Andrew H. Frost
- Biography of Rev. Andrew H. Frost
- Original text about the perfect cube of order 7 by Harry Langman
- Langman.xls Perfect cube of order 7 of Harry Langman
- First perfect cube of order 8
- Original text about the perfect cube of order 8 by Gustavus Frankenstein
- Frankenstein.xls Perfect cube of order 8 of Gustavus Frankenstein
- First perfect cube of order 9
- First perfect cube of order 10
- First perfect cube of order 11
- First perfect cube of order 12

- Pandiagonal perfect magic cubes
- Biography (in French) of Gabriel Arnoux
- Other biography (in French) of Gabriel Arnoux, by Charles-Ange Laisant
- Cube_17-Arnoux.zip Pandiagonal perfect magic cube of order 17, of Gabriel Arnoux
- Biography of Frederick A. P. Barnard
- Other
biography of Frederick A. P. Barnard, from the
*Proceedings of the AAAS* - Cube_8-Barnard.zip Pandiagonal perfect magic cube of order 8, of Frederick A. P. Barnard
- Cube_11-Barnard-1.zip Pandiagonal perfect magic cube #1 of order 11, of Frederick A. P. Barnard
- Cube_11-Barnard-2.zip Pandiagonal perfect magic cube #2 of order 11, of Frederick A. P. Barnard

- Multimagic cubes
- bicube25.pdf Document by Holger Danielsson about the bimagic cube of order 25, of John-R. Hendricks
- Biography
of John-R. Hendricks from
*Magic Square Lexicon: Illustrated* - Biography
of John-R. Hendricks by the
*Journal of Recreational Mathematics* - BiCube16.xls Bimagic cube of order 16, of Christian Boyer
- BiCube25.zip Bimagic cube of order 25, of John-R. Hendricks
- BiCube27.zip Bimagic cube of order 27, of Christian Boyer
- BiCube32.zip Perfect bimagic cube of order 32, of Christian Boyer
- TriCube64.zip Trimagic cube of order 64, of Christian Boyer

- Multimagic hypercubes
- BiHyper32d+.zip Bimagic hypercube (tesseract) of order 32, of Christian Boyer
- BiHyper32t+.zip Other bimagic hypercube (tesseract) of order 32, of Christian Boyer

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- Multiplicative magic cubes
- What are multiplicative magic cubes?
- Table
- MMC3-7.xls Best known multiplicative magic cubes, orders 3 to 7, of Christian Boyer
- MMC8-11.xls Best known multiplicative magic cubes, orders 8 to 11, of Christian Boyer
- 3rd-order multiplicative magic cubes
- 4th-order multiplicative magic cubes
- 5th-order multiplicative magic cubes
- 6th-order multiplicative magic cubes
- 7th-order multiplicative magic cubes
- 8th to 11th-order multiplicative magic cubes

- Christian Boyer
- Many thanks to Harvey Heinz for help with the English version
- Many thanks to Holger Danielsson, Walter Trump and Peter Bartsch for their translation in German

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