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Cubic Circular, Issue 7 & 8 Cubic Circular, Issue 7 & 8 07/08/2007 03:40 PM Home Links Guestbook Index Issue 1 Issue 2 Issue 3/4 Issue 5/6 Issue 7/8 CUBIC CIRCULAR A quarterly newsletter for Rubik Cube addicts Issues 7 & 8 Summer 1985 THE LAST CUBIC CIRCULAR - SPECIAL TRIPLE SIZE ISSUE CONTENTS page 2 Editor's Corner, Oxford Series in Recreational Mathematics 3 Sources in Recreational Mathematics. Centre for Mathematical Recreations and Puzzles. Puzzling Announcements. 4 New Cube Products. 6 Rainbow Patterns. 7 Shepherd's Bloody Cube. 8 More on the U Group. More on Local Maxima. Some Pretty Random Patterns. 9 Some Comments about the 43. A 34 Simulator. 10 The Theory of the n3. 12 The 53. 13 Rubik's Mate - The Siamese Cubes. 14 Geometry of the 63 and 73. 15 The Skewb or Pyraminx Cube. 18 God's Algorithm for the Pyraminx, 19 Uriblock. More on the Hungarian Rings. 20 Some Notes on Polyhedra. 24 Regular Polyhedra, 25 Kepler-Poinsot Polyhedra. 26 Honeycombs. 27 Semi-regular Polyhedra. 28 Archimedean Polyhedra. http://www.geocities.com/jaapsch/puzzles/cubic7.htm Page 1 of 49 Cubic Circular, Issue 7 & 8 07/08/2007 03:40 PM 30 Archimedean Tessellations. 31 Uniform Polyhedra. Regular-faced Polyhedra. 32 Tessellations and Tilings. 34 Addendum. 35 Sliding Cube Puzzles. 36 A Rubric on Rubik Cubics. By Claude Shannon. 39 The XL-25. 43 Curious Cubic Correspondence. 45 A 43 Competition. 1000DM in Prizes. A Cubic Sick Joke. 46 Rubik's Foundation. Youngest Cubist? Cubic Mail Box. Rubik Cubik Magik. A Novel Appearance. 47 The History and Further Trials of the Cube. A Rumour. 48 Some Pyraminx Variations. A Mad Comment. Published by David Singmaster, 87 Rodenhurst Road, London, SW4 8AF, UK. ISSN No, 0261-8362, All material © 1985 by David Singmaster. 2 EDITOR'S CORNER SURPRISE, SURPRISE! I bet you'd all given up on me by now! I have had numerous letters asking when this would appear. Frankly, I haven't had the foggiest idea most of the time. I feel I owe you all a few words of explanation. I first started typing sections of this in Autumn 1983, when I prepared the long section on polyhedra for my geometry class. Since then I have been meaning to get around to it every few months. Unfortunately I had a massive overdose of cubism in 1982-83. David Singmaster Ltd. was closed down, and I lost a fair amount of money -more than I had made previously. This led to prolonged tax negotiations. Also I was still receiving more post than I could deal with. Indeed there is still a pile about a foot (30cm) high that I haven't got around to, as well as about 18 inches (45cm) of Xeroxes of articles that I haven't looked at yet. In addition, I was teaching several extra courses in 1983-84, including the geometry course which was being taught for the first time. I also spent a lot of time helping to rewrite a Department submission that had been rejected. I have also started on some other projects which have taken up much of my time. I will describe these below as they should be of interest. Fortunately, I was promoted to a Readership (= Research Professorship), the first in my Faculty, as of September 1984 and this is giving me more time to get caught up. I have worked in spurts over the past year - some of you will have had answers to letters from 1983! I have spent this summer working very hard at getting caught up. I have nearly read all my unread back journals and have nearly got through all the unanswered letters on my desk, etc. If you haven't yet had an answer, hold on! In a week, I am going to City College of New York for the Autumn term. I will not have completed answering all my post by then, but I'll probably do some more before then. If you haven't had an answer by about the time you get this, I will get to your letter when I return in January. Meanwhile, my apologies for the delay or non-response to your letters and the delay in compiling this Circular. THE FUTURE. I don't plan to produce any more Circulars. However, I will eventually prepare an Index and I http://www.geocities.com/jaapsch/puzzles/cubic7.htm Page 2 of 49 Cubic Circular, Issue 7 & 8 07/08/2007 03:40 PM have a bibliography on the Cube which requires considerable additions, even though it already runs 70 pages. If and when I get around to producing these, I will circulate the present subscription list and let you know what they will cost. (The bibliography will need several pounds just for postage, unless I reduce and double-side it.) OXFORD SERIES IN RECREATIONAL MATHEMATICS Anthony Watkinson, mathematics editor at Oxford University Press, asked me to edit a series in recreational mathematics. (Anthony was formerly with Academic Press, where he edited 'Winning Ways'.) We have embarked on this series. One book was already in hand and put into the series. Another has just appeared, two are ready to go into production and several others are being written. The first books in the series are the following. Hugh ApSimon. Mathematical Byways in Ayling, Beeling and Ceiling. October, 1984. This is a collection of simple but difficult problems, e.g. find the smallest rectangle of wrapping paper required to cover a box. 3 John Beasley. The Ins and Outs of Peg Solitaire. August, 1985. This is the first book on the subject in nearly a century and will be the standard work for about that long! Ernö Rubik, et al. Rubik's Cubic Compendium. Spring, 1986? This is the book mentioned in C1-4 and C2-3. I have just finished an additional chapter summarising the later history of the Cube. (Title not yet fixed.) Edward Hordern. Sliding Piece Puzzles. Summer, 1986? This will describe some 250 puzzles of this type which began with Loyd's 15 Puzzle. (Title not yet fixed.) We are hoping to produce a translation of Wilhelm Ahrens' 'Mathematische Unterhaltungen und Spiele' (1910- 1918), which is the most scholarly of all books on recreational mathematics and extremely difficult to obtain. Sources in Recreational Mathematics - see below for a discussion of this project. The above gives some indication of the kind of books we are looking for. If you have any suggestions, please write to me. SOURCES IN RECREATIONAL MATHEMATICS As a possible took for my series, I started to compile original sources of classical recreational problems. It has become apparent that the first step is to prepare an annotated bibliography of the source material. I have begun doing so and have put it on a computer file. It is now 95 pages long, with about 200 subjects with information listed chronologically for each subject. I have also found a good many problems and have compiled a 17 page file of queries and problems on this material. I also have a draft article which outlines the project and some of the material. I would be delighted to hear from anyone interested in this project. CENTRE FOR MATHEMATICAL RECREATIONS AND PUZZLES A few years ago, I thought that a puzzle museum ought to exist. I had some general ideas on this and then I discovered that Ivan Moscovich, the well known Israeli puzzle inventor, had been the founder of the Israeli Museum of Science and Technology and was interested in a puzzle museum also. We have been discussing this now for two years. I wrote out a preliminary version of our ideas in Spring 1984, but I have not yet had time to pursue it vigorously. http://www.geocities.com/jaapsch/puzzles/cubic7.htm Page 3 of 49 Cubic Circular, Issue 7 & 8 07/08/2007 03:40 PM PUZZLING ANNOUNCEMENTS An exhibition based on Jerry Slocum's puzzle collection will be at the Los Angeles Craft and Folk Art Museum from 20 Nov 1985 to 30 Jan 1986. I believe it will then travel to New York. If you are interested in wooden puzzles, then you are probably familiar with Stewart T. Coffin's puzzles. In fact, many of them have also been made in plastic by firms such as Mag-Nif, Tenyo and the Museum of Modern Art. He has just produced a new edition of his book 'Puzzle-Craft'. This is 100 pages of how to make his puzzles in wood. It costs only $12. Write to him at 79 Old Sudbury Road, Lincoln, Massachusetts, 01773, USA. If you live outside the USA and Canada, I'd suggest adding a few $ for postage. He will only accept $ money orders, $ cheques drawn on a New York bank or $ cash. [ This book is available for download in Adobe pdf format from John Rausch's Puzzle world. - J ]. There are only two distributors/retailers that I know of who are puzzle specialists. Rainer Bathke, Village Games, 53A Court Nope Road, London, NW3, UK. Dietmar Hartung, Arndtstr. 13, 0-1000 Berlin 61, Germany. (Bathke has a weekend shop at Camden Lock in London.) [ Rainer Bathke and his wife still manage the Village Games shop, which is at 65 West Yard, Camden Lock, London. - J ] 4 There are two especially active cubists. Christoph Bandelow, Haarholzer Str. 13, D-46314 Bochum-Stiepel, Germany. Bandelow is the author of 'Einführung in die Cubologie', Vieweg, Braunschweig, 1981 (C3/4-26). This was expanded into English as 'Inside Rubik's Cube and Beyond' , Birkhäuser, Boston, 1982. It is one of the most comprehensive books on the cube.
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