Geometric Magic Squares: A Challenging New Twist Using Colored Shapes Instead of Numbers - Brossura

Sallows, Lee C. F.

Brossura

ISBN 10: 0486489094 ISBN 13: 9780486489094

Casa editrice: Dover Pubns, 2013

Riassunto

Traditional magic squares are squares of numbers in which the rows, columns, and diagonals all add up to the same total. With a voluminous literature going back some 2,500 years, the universal assumption has ever been that magic squares are inherently arithmetical objects. In this innovative work by a British engineer, the author initiates a Copernican revolution in our understanding by replacing numbers with two-dimensional forms. The result is not merely a novel kind of geometrical magic square but a revelation that traditional magic squares are now better seen as the one-dimensional instance of this self-same geometrical activity.

Su questo libro

L'autore:

London-born Lee Sallows has lived in Nijmegen in the Netherlands for the past 41 years and until recently worked as an electronics engineer for Radboud University. His longtime hobbies of computational wordplay and recreational mathematics have led to related articles as well as this collection of geometric magic squares.

Contenuti:

Foreword I Geometric Squares of 3x3 1. Introduction 2. Geomagic Squares 3. The Five Types of 3x3 Area Square 4. Construction by Formula 5. Construction by Computer 6. 3x3 Squares 7. 3x3 Nasiks and Semi-Nasils 8. Special Examples of 3x3 Squares II Geometric Magic Squares of 4x4 9. Geo-latin Squares 10. 4x4 Nasiks 11. Graeco-latin Templates 12. Uniform Square Substrates 13. Dudeney's 12 Graphic Types 14. The 12 Formulae 15. A Type 1 Geomagic Square 16. Self-interlocking Geomagics 17. Form and Emptiness 18. Further Variations III Special Categories 19. 2x2 Squares 20. Picture-Preserving Geomagics 21. 3-Dimensional Geomagics 22. Alpha-Geomagic Squares 23. Normal Squares of Order-4 24. Eccentric Squares 25. Collinear Collations 26. Concluding Remarks Appendix 1. Formal Definition of Geomagic Squares Appendix 2. Magic Formulae Appendix 3. New Advances with 4x4 Magic Squares Appendix 4. The Dual of Lo shu Appendix 5. The Lost Theorem Glossary References

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2013
• ISBN 10: 0486489094
• ISBN 13: 9780486489094
• Rilegatura: Copertina flessibile
• Numero di pagine: 135