Magic squares and cubes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dover Publ.
1960
|
| Ausgabe: | 2. ed., rev. and enl. |
| Schriftenreihe: | Dover books explaining science and mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 419 S. zahlr. Ill. |
| ISBN: | 0486206580 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804116496424632320 |
|---|---|
| adam_text | TABLE OF CONTENTS.
PARS
Publishers Preface v
Introduction. By Paul Carus vii
Chapter I. Magic Squares. Ey W. S. Andrews 1
The Essential Characteristics of Magic Squares 1
Associated or Regular Magic Squares of Odd Numbers 2
Associated or Regular Magic Squares of Even Numbers 18
Construction of Even Magic Squares by De La Hire s Method .... 34
Composite Magic Squares 44
Concentric Magic Squares 47
General Notes on the Construction of Magic Squares 54
Chapter II. Magic Cubes. By W. S. Andrews 64
The Essential Characteristics of Magic Cubes 64
Associated or Regular Magic Cubes of Odd Numbers 65
Associated or Regular Magic Cubes of Even Numbers 76
General Notes on Magic Cubes 84
Chapter III. The Franklin Squares. By W. S. Andrews 89
An Analysis of the Franklin Squares, By Paul Carus 96
Chapter IV. Reflections on Magic Squares. By Paul Carus 113
The Order of Figures 113
Magic Squares in Symbols , 120
The Magic Square in China 122
The Jaina Square 125
Chapter V. A Mathematical Study of Magic Squares. By L. S. Frierson. 129
A New Analysis 129
Notes on Number Series Used in the Construction of Magic Squares 137
Chapter VI. Magics and Pythagorean Numbers. By C. A. Browne 146
Mr. Browne s Square and lusus numerorum. By Paul Carus 158
Chapter VII. Some Curious Magic Squares and Combinations. By W.
S. Andrews 163
Chapter VIII. Notes on Various Constructive Plans by which Magic
Squares May be Classified. By W. S. Andrews 178
The Mathematical Value of Magic Squares. By W. S. Andrews. .. 187
IV TABLE OF CONTENTS.
PAGE
Chapter IX. Magic Cubes of the Sixth Order 189
A Franklin Cube of Six. By H. M. Kingery 189
A Magic Cube of Six. By Harry A. Sayles 196
Magic Cube of Six. By John Worthington 201
Chapter X. Various Kinds of Magic Squares 207
Overlapping Magic Squares. By D. F. Savage 207
Oddly Even Magic Squares. By D. F. Savage 217
Notes on Oddly Even Magic Squares. By W. S. Andrews 225
Notes on Pandiagonal and Associated Magic Squares. By L. S.
Frierson 229
Serrated Magic Squares. By Harry A. Sayles 241
Lozenge Magic Squares. By Harry A. Sayles 244
Chapter XI. Sundry Constructive Methods 248
A New Method for Making Magic Squares of Odd Orders. By
L. S. Frierson 248
The Construction of Magic Squares and Rectangles by the Method
of Complementary Differences. By W. S. Andrews 257
Notes on the Construction of Magic Squares of Orders in which n
is of the General Form 4/ + 2. By W. S. Andrews and L. S.
Frierson 267
Notes on the Construction of Magic Squares of Orders in which n
is of the General Form 8/ + 2. By Harry A. Sayles 277
Geometric Magic Squares and Cubes. By Harry A. Sayles 283
Chapter XII. The Theory of Reversions. By Dr. C. Planck 295
Chapter XIII. Magic Circles, Spheres and Stars 321
Magic Circles. By Harry A Sayles 321
Magic Spheres. By Harry A. Sayles 331
Magic Stars. By W. S. Andrews 339
Chapter XIV. Magic Octahedroids 351
Magic in the Fourth Dimension. By H. M. Kingery 351
Fourfold Magics. By Dr. C. Planck 363
Chapter XV. Ornate Magic Squares 376
General Rule for Constructing Ornate Magic Squares of Orders
= 0 (mod4). By Dr. C Planck 376
Ornate Magic Squares of Composite Odd Orders. By Dr. C. Planck 383
The Construction of Ornate Magic Squares of Orders 8, 12 and 16
by Tables. By Frederic A. Woodruff 390
The Construction of Ornate Magic Squares of Order 16 by Magic
Rectangles. By W. S. Andrews 404
Pandiagonal Concentric Magic Squares of Orders 4m. By Harry
A. Sayles 410
Index 415
Diagrams of Completed Magics 419
|
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| ctrlnum | (OCoLC)1136401 (DE-599)BVBBV002045941 |
| dewey-full | 511.61 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.61 |
| dewey-search | 511.61 |
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| discipline | Mathematik |
| edition | 2. ed., rev. and enl. |
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| id | DE-604.BV002045941 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:26Z |
| institution | BVB |
| isbn | 0486206580 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001338078 |
| oclc_num | 1136401 |
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| owner_facet | DE-20 DE-91G DE-BY-TUM DE-384 DE-29T DE-210 |
| physical | VIII, 419 S. zahlr. Ill. |
| publishDate | 1960 |
| publishDateSearch | 1960 |
| publishDateSort | 1960 |
| publisher | Dover Publ. |
| record_format | marc |
| series2 | Dover books explaining science and mathematics |
| spelling | Andrews, William S. Verfasser aut Magic squares and cubes by W. S. Andrews 2. ed., rev. and enl. New York Dover Publ. 1960 VIII, 419 S. zahlr. Ill. txt rdacontent n rdamedia nc rdacarrier Dover books explaining science and mathematics Algebra larpcal Carrés magiques Carrés magiques ram Magic cubes Magic squares Magisches Quadrat (DE-588)4168511-8 gnd rswk-swf Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf Magische Figur (DE-588)4385215-4 gnd rswk-swf Unterhaltungsmathematik (DE-588)4124357-2 s Magische Figur (DE-588)4385215-4 s DE-604 Magisches Quadrat (DE-588)4168511-8 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001338078&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Andrews, William S. Magic squares and cubes Algebra larpcal Carrés magiques Carrés magiques ram Magic cubes Magic squares Magisches Quadrat (DE-588)4168511-8 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd Magische Figur (DE-588)4385215-4 gnd |
| subject_GND | (DE-588)4168511-8 (DE-588)4124357-2 (DE-588)4385215-4 |
| title | Magic squares and cubes |
| title_auth | Magic squares and cubes |
| title_exact_search | Magic squares and cubes |
| title_full | Magic squares and cubes by W. S. Andrews |
| title_fullStr | Magic squares and cubes by W. S. Andrews |
| title_full_unstemmed | Magic squares and cubes by W. S. Andrews |
| title_short | Magic squares and cubes |
| title_sort | magic squares and cubes |
| topic | Algebra larpcal Carrés magiques Carrés magiques ram Magic cubes Magic squares Magisches Quadrat (DE-588)4168511-8 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd Magische Figur (DE-588)4385215-4 gnd |
| topic_facet | Algebra Carrés magiques Magic cubes Magic squares Magisches Quadrat Unterhaltungsmathematik Magische Figur |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001338078&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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