Handbook of cubik math:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hillside, NJ
Enslow
1982
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 193 S. Ill. |
| ISBN: | 0894900609 0894900587 |
Internformat
MARC
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| 100 | 1 | |a Frey, Alexander H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Handbook of cubik math |c by Alexander H. Frey and David Singmaster |
| 264 | 1 | |a Hillside, NJ |b Enslow |c 1982 | |
| 300 | |a VIII, 193 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Groepentheorie |2 gtt | |
| 650 | 4 | |a Groupes, Théorie des | |
| 650 | 7 | |a Magische kubus |2 gtt | |
| 650 | 4 | |a Rubik, Cube | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Rubik's Cube | |
| 650 | 0 | 7 | |a Rubik's cube |0 (DE-588)4076864-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Singmaster, David |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012857149&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804132845550043137 |
|---|---|
| adam_text | CONTENTS
Preface
1. Introduction 1
2. A Cubik Orientation 3
Cubies and Cubicles 3
Orientation Based On the Center Facelets 9
Notation For Abbreviations 12
3. Restoring the Cube 21
The Down Face Edge Cubies 27
Three Down Face Comer Cubies 31
Three Middle Layer Edge Cubies 37
The Remaining Five Edge Cubies 39
Placing the Final Corners 48
Untwisting the Final Corners 55
Cubik Games 61
4. The What, Why, and How of Cube Movements... 64
Processes and Permutations 65
Equivalent Processes 73
Identities and Inverses 74
Cyclic Order of a Permutation 77
Finding Useful Processes 80
Commutativity and Commutators 83
Conjugates: Building New Processes from Old ... 89
vii
viii Contents
5. Improved Restoration Processes 94
The Down Face Edges 94
Three Down Face Corners 95
Middle Layer Edges 97
Final Up Face Edges 98
Restoring Corners Untwisted 99
Conjugates Help Orient the Final Corners 101
Untwisting Corners 103
6. The Cube Group and Subgroups 106
The Permutations of the Cube Form a Group 107
Generators of a Group 109
The Two Squares Group 112
The Slice Group 113
The Two Generator Group 116
Other Subgroups of the Cube 117
The Supergroup and Other Larger Groups 122
7. Permutation Structures and the Order of Groups 125
Permutations Are Odd or Even 125
Parity of Permutations on the Cube 127
The Parity of Flips and Twists 130
The Order of the Cube Group 134
The Order of the Two Generator Group 137
The Orders of Other Groups 139
8. Advanced Restoration Methods 142
Nested Subgroups 142
Cosets of Subgroups 146
Normal Subgroups and Isomorphisms 150
9. Epilogue 157
A. A Small Catalogue of Processes 159
B. Solutions to Exercises 165
Index 187
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.22 |
| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV019394586 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:59:18Z |
| institution | BVB |
| isbn | 0894900609 0894900587 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012857149 |
| oclc_num | 7734530 |
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| owner_facet | DE-384 DE-188 |
| physical | VIII, 193 S. Ill. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Enslow |
| record_format | marc |
| spelling | Frey, Alexander H. Verfasser aut Handbook of cubik math by Alexander H. Frey and David Singmaster Hillside, NJ Enslow 1982 VIII, 193 S. Ill. txt rdacontent n rdamedia nc rdacarrier Groepentheorie gtt Groupes, Théorie des Magische kubus gtt Rubik, Cube Group theory Rubik's Cube Rubik's cube (DE-588)4076864-8 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Rubik's cube (DE-588)4076864-8 s Gruppentheorie (DE-588)4072157-7 s DE-604 Singmaster, David Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012857149&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Frey, Alexander H. Singmaster, David Handbook of cubik math Groepentheorie gtt Groupes, Théorie des Magische kubus gtt Rubik, Cube Group theory Rubik's Cube Rubik's cube (DE-588)4076864-8 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4076864-8 (DE-588)4072157-7 |
| title | Handbook of cubik math |
| title_auth | Handbook of cubik math |
| title_exact_search | Handbook of cubik math |
| title_full | Handbook of cubik math by Alexander H. Frey and David Singmaster |
| title_fullStr | Handbook of cubik math by Alexander H. Frey and David Singmaster |
| title_full_unstemmed | Handbook of cubik math by Alexander H. Frey and David Singmaster |
| title_short | Handbook of cubik math |
| title_sort | handbook of cubik math |
| topic | Groepentheorie gtt Groupes, Théorie des Magische kubus gtt Rubik, Cube Group theory Rubik's Cube Rubik's cube (DE-588)4076864-8 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Groepentheorie Groupes, Théorie des Magische kubus Rubik, Cube Group theory Rubik's Cube Rubik's cube Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012857149&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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