Perfect, amicable and sociable numbers
The firing squad synchronization problem
December 2001 BIGNUM BAKEOFF contest: rules, rules clarification (I), rules clarification (II), results; a post-mortem entry. Comments by Heiner Marxen on his entry and a tar file containing commentary by Ralph Loader on his entry.
SimCity 2000 for MS-DOS file format; unofficial partial information
Bouwkamp codes of all simple perfect squared rectangles of orders from 9 to 16, and Bouwkamp codes of all perfect squared squares of orders from 21 to 24 (and some of orders from 25 to 27.) A brief explanation of the Bouwkamp code and squared rectangles is here. Also, the program I used to produce the squared rectangles is available as a shar file (66K), a compressed tar file (18K), or a zip file (19K). It is distributed under the GNU GPL.
astroutils consists of two filters, astro2csv and csv2astro. astro2csv transforms astronomical data files from CDS format to CSV format; csv2astro does the reverse. astroutils is available as a compressed tar file (13K) and is distributed under the GPL. The current version of astroutils is 0.01.
bfdb is an optimizing interpreter, debugger and compiler for the BF programming language. bfdb has the following features:
bfdb is available as a compressed tar file (72K) and is distributed under the GPL. The current version of bfdb is 0.03.
dumpisofs is a utility which checks ISO 9660 filesystems for consistency, prints their headers, and prints their directory trees.
dumpisofs is available as a compressed tar file (28K) and is distributed under the GPL. The current version of dumpisofs is 0.002.
globe constructs a three-dimensional model of a globe, which can be given relief or color on its surface as specified by input altitude or color maps. The model can also be made hollow or cut into pieces. globe is distributed with the program e2g2e, which changes the vertical reference of an altitude map from the WGS84 ellipsoid to the EGM96 geoid, or vice-versa.
globe is available as a compressed tar file (1.75M) and is distributed under the GPL. The current version of globe is 0.01. Also available are collections of altitude and color maps for the Earth (78M), Mars (63M), and the Moon (62M) for use with globe.
pngtopdf constructs a PDF file from a sequence of PNG images. It is available as a compressed tar file (15K) and is in the public domain. The current version of pngtopdf is 0.03.
The programs and data in slonimsky-rods construct OpenSCAD code which builds multiplying rods which are based on Slonimsky's theorem. This package is available as a compressed tar file (17K) and is in the public domain. See the README file contained in the package for more information. Also, a compressed tar file of prebuilt STL files (11M) is available. The current version of slonimsky-rods is 0.02.
The OpenSCAD files in slide-adder construct a slide adder with a curved guide to facilitate manual carries, similar to adders called "Addiator" or "Troncet-type". This package is available as a zip file (10K) and is in the public domain. See the README file contained in the package for more information. The current version of slide-adder is 0.03.
tiling counts and lists the ways in which a large shape, made out of squares, cubes or hypercubes, can be decomposed into smaller shapes, also made out of squares, cubes or hypercubes. tiling is available as a compressed tar file (42K) and is distributed under the GPL. The current version of tiling is 0.05.
See here.
Archimedes Plutonium thinks that the universe is an electron in a giant plutonium atom. Read a fragment of his autobiography.
The Pebbling Threshold Spectrum and Paths: LaTeX (66K), DVI (122K), or PDF (340K) format. Note: This contains the results formerly available on this site in An Exact Pebbling Threshold for the Path and Extending the Pebbling Threshold Spectrum.
Asymptotic behavior of Rauzy's sequence: LaTeX (24K) or PDF (235K) format. Note: This paper has been rebuilt with a slight formatting change but is otherwise the same as the version available here before April 10, 2018.
No more undulating squares: LaTeX (18K) or PDF (191K) format. Note: This paper has been rebuilt with a slight formatting change but is otherwise the same as the version available here before April 10, 2018.
Infinitesimals and Coin-Sliding: Postscript (161K) or PDF (150K) format.
Loopy Games and Go: Postscript (188K) or PDF (169K) format.
On Some Combinatorial Games Connected With Go: DVI (398K), Postscript (643K), or PDF (544K) format.
Pebbling Graphs: LaTeX (55K), DVI (105K), Postscript (290K), or PDF (237K) format. (This is an expanded version of this paper that has not appeared in print.)
Roman Antiquities, Alexander Adam, ed. James Boyd. Glasgow: Blackie & Son, 6th ed., 1835. PDF (49M) format. Scan courtesy of Paul C. Moews.
The Plants, Grant Allen. New York: Review of Reviews Company, 1910, Stories of the Universe series; orig. pub. D. Appleton and Company, 1895. PDF (13M) format. Scan courtesy of Paul C. Moews.
Magic Squares and Cubes, W. S. Andrews. Chicago: Open Court Publishing Company, 2nd ed., 1917. Scan is of Dover Publications reprint (1960). PDF (25M) format. Scan courtesy of Paul C. Moews.
On the Influence of Carbonic Acid in the Air upon the Temperature of the Ground, Svante Arrhenius, Philosophical Magazine, 5th series, 41, #251 (April 1896), 237–276. PDF (10.7M) format.
Text-Book of Electrochemistry, Svante Arrhenius, tr. John McCrae. London: Longmans, Green, & Co., 1902. PDF (24M) format. Scan courtesy of Paul C. Moews.
Passages from the Life of a Philosopher, Charles Babbage. London: Longman, Green, Longman, Roberts, & Green, 1864. Scan is of Gregg International reprint (1969). PDF (31M) format. Scan courtesy of Paul C. Moews.
Open Sesame: One Hundred Answers in Rhyme to William Bellamy's Century of Charades, Harlan H. Ballard. Boston: Joseph Knight Company, 1896. PDF (1.6M) format. Scan courtesy of Paul C. Moews.
A Century of Charades, William Bellamy. Cambridge, Mass.: The Riverside Press, 1894. PDF (2.7M) format. Scan courtesy of Paul C. Moews.
A Second Century of Charades, William Bellamy. Cambridge, Mass.: The Riverside Press, 1896. PDF (1.9M) format. Scan courtesy of Paul C. Moews.
A Third Century of Charades, William Bellamy. Cambridge, Mass.: The Riverside Press, 1904. PDF (1.8M) format. Scan courtesy of Paul C. Moews.
More Charades, William Bellamy. Cambridge, Mass.: The Riverside Press, 1909. PDF (2.2M) format. Scan courtesy of Paul C. Moews.
Broken Words: A Fifth Century of Charades, William Bellamy. Cambridge, Mass.: The Riverside Press, 1911. PDF (2.6M) format. Scan courtesy of Paul C. Moews.
Mechanical Drawing Problems, Edward Berg and Emil F. Kronquist. Peoria, Illinois: The Manual Arts Press, 1918. PDF (6.5M) format. Scan courtesy of Paul C. Moews.
The Story of King Alfred, Walter Besant. New York: D. Appleton and Company, 1901, The Library of Useful Stories series. PDF (11M) format. Scan courtesy of Paul C. Moews.
Isis Unveiled, H. P. Blavatsky. London & Benares: The Theosophical Publishing Society, 1910. Vol. 1, PDF (68M) format; vol. 2, PDF (73M) format.. Scan courtesy of Paul C. Moews.
Business Arithmetic, C. M. Bookman. New York: American Book Company, 1914. PDF (13M) format. Scan courtesy of Paul C. Moews.
The Enchanted Forest, William Bowen. New York: Macmillan, 1920. PDF (13M) format. Scan courtesy of Paul C. Moews.
Electrical Equipment, Harold W. Brown. New York: McGraw-Hill Book Company, Inc., 1917. PDF (18M) format. Scan courtesy of Paul C. Moews.
Cosmic Consciousness, Richard Maurice Bucke. Philadelphia: Innes & Sons, 1905. Scan is of Kessinger Publishing reprint (1998). PDF (38M) format. Scan courtesy of Paul C. Moews.
R. D. Yates, Checker Player, William Timothy Call. New York: Winthrop Press, 1905. PDF (7M) format. Scan courtesy of Paul C. Moews.
The Book of My Life, Jerome Cardan, translated from the Latin by Jean Stoner. New York: E. P. Dutton & Co., Inc., 1930. PDF (7M) format. Scan courtesy of Paul C. Moews. This book is in the public domain in the USA because its copyright was not renewed.
The Stars, George F. Chambers. New York: Review of Reviews Company, 1910, Stories of the Universe series; orig. pub. D. Appleton and Company, 1895. PDF (15M) format. Scan courtesy of Paul C. Moews.
The Story of Eclipses, George F. Chambers. New York: S. S. McClure Co., 1909, Library of Valuable Knowledge series; orig. pub. D. Appleton and Company. PDF (12.4M) format. Scan courtesy of Paul C. Moews.
Algebra, an Elementary Text-Book, G. Chrystal, part I. London: Adam and Charles Black, 5th ed., 1904. Scan is of Dover Publications reprint (1961). PDF (33M) format. Scan courtesy of Paul C. Moews.
Algebra, an Elementary Text-Book, G. Chrystal, part II. London: Adam and Charles Black, 2nd ed., 1900. Scan is of Dover Publications reprint (1961). PDF (37M) format. Scan courtesy of Paul C. Moews.
Pole and Tower Lines, R. D. Coombs. New York: McGraw-Hill Book Company, Inc., 1916. PDF (25M) format. Scan courtesy of Paul C. Moews.
The Works of Aleister Crowley, Aleister Crowley. 3 vols. Foyers, Inverness: Society for the Propagation of Religious Truth, 1905 (vol. 1), 1906 (vol. 2), 1907 (vol. 3). Scan is of Yogi Publication Society reprint (1974). vol. 1: PDF (29M) format; vol. 2: PDF (24M) format; vol. 3: PDF (19M) format. Scans courtesy of Paul C. Moews.
Real Soldiers of Fortune, Richard Harding Davis. New York: Charles Scribner's Sons, 1911. PDF (33M) format. Scan courtesy of Paul C. Moews.
The Geometry of René Descartes, René Descartes, translated from French and Latin by David Eugene Smith and Marcia L. Latham. Chicago: Open Court, 1925. Scan is of Dover Publications reprint (1954). PDF (13M) format. Scan courtesy of Paul C. Moews.
Amusements in Mathematics, Henry Ernest Dudeney. London: Thomas Nelson and Sons, Ltd., 1917. PDF (33M) format. Scan courtesy of Paul C. Moews.
The Canterbury Puzzles, and Other Curious Problems, Henry Ernest Dudeney. New York: E. P. Dutton and Company, 1908. PDF (15M) format. Scan courtesy of Paul C. Moews.
Rachel Noble's Experience, Bruce Edwards. Glasgow: Scottish Temperance League, 1884. PDF (15M) format. Scan courtesy of Paul C. Moews.
Coordinate Geometry, Henry B. Fine and Henry D. Thompson. New York: The Macmillan Company, 1909. PDF (21M) format. Scan courtesy of Paul C. Moews.
The Number-System of Algebra, Henry B. Fine. Boston: D. C. Heath & Co., 1903. Second, corrected, edition. PDF (8.3M) format. Scan courtesy of Paul C. Moews.
The Story of Euclid, W. B. Frankland. London: George Newnes, Ltd., 1902, The Library of Useful Stories series. PDF (10.4M) format. Scan courtesy of Paul C. Moews.
The Standard Dictionary of Facts. Buffalo, New York: The Frontier Press Company, 1922. PDF (204M) format. Scan courtesy of Paul C. Moews.
Twentieth Century Cook Book. Chicago: The Geographical Publishing Company, 1921. PDF (26M) format. Scan courtesy of Paul C. Moews.
The Arithmachinist, Henry Goldman. Chicago: The Office Men's Record Co., 1898. PDF (19M) format. Scan courtesy of Paul C. Moews. Scan was made from a low-quality reproduction.
Elements of the Differential and Integral Calculus, William Anthony Granville and Percey F. Smith. Boston: Ginn and Company, revised ed., 1911. PDF (28M) format. Scan courtesy of Paul C. Moews.
The Story of Alpine Climbing, Francis Gribble, London: George Newnes, Ltd., 1904, The Library of Useful Stories series. PDF (12.3M) format. Scan courtesy of Paul C. Moews.
First Course in Algebra, Herbert E. Hawkes, William A. Luby, and Frank C. Touton. Boston: Ginn and Company, 1910. PDF (18M) format. Scan courtesy of Paul C. Moews.
Second Course in Algebra, Herbert E. Hawkes, William A. Luby, and Frank C. Touton. Boston: Ginn and Company, 1911. PDF (15M) format. Scan courtesy of Paul C. Moews.
A Treatise on Astronomy, John F. W. Herschel, with preface and questions by S. C. Walker. Philadelphia: Carey, Lea, & Blanchard, new ed., 1836. PDF (37M) format. Scan courtesy of Paul C. Moews.
Essays in Astronomy, intr. by Edward Singleton Holden. New York: D. Appleton and Company, 1900. PDF (50M) format. Scan courtesy of Paul C. Moews.
The Industries of Animals, Frédéric Houssay. London: Walter Scott, Ltd., 1893. Contemporary Science series. PDF (23M) format. Scan courtesy of Paul C. Moews.
The Continuum, and Other Types of Serial Order, Edward V. Huntington. Cambridge, Mass.: Harvard University Press, 2nd ed., 1917. Scan is of Dover Publications reprint (2003). PDF (7M) format. Scan courtesy of Paul C. Moews.
The Journal of Countess Françoise Krasinska, Françoise Krasinska, tr. from Polish by Kasimir Dziekonska. Chicago: A. C. McClurg and Co., 7th ed., 1899. PDF (9M) format. Scan courtesy of Paul C. Moews.
Principles of Alternating Current Machinery, Ralph R. Lawrence. New York: McGraw-Hill Book Company, Inc., 2nd ed., 1921. PDF (47M) format. Scan courtesy of Paul C. Moews.
The Life after Death, C. W. Leadbeater. Adyar, Madras: The Theosophical Society, 1912. PDF (5M) format. Scan courtesy of Paul C. Moews.
Recreations in Mathematics, H. E. Licks. New York: D. Van Nostrand Company, Inc., 1917. PDF (9.6M) format. Scan courtesy of Paul C. Moews.
Animal Life, B. Lindsay. New York: Review of Reviews Company, 1910, Stories of the Universe series; orig. pub. D. Appleton and Company, 1902. PDF (11M) format. Scan courtesy of Paul C. Moews.
Pioneers of Science, Oliver Lodge. London and New York: Macmillan, 1893; reprinted with corrections, 1905. PDF (33M) format. Scan courtesy of Paul C. Moews.
Cyclopedia of Puzzles, Sam Loyd. New York: The Lamb Publishing Company, 1914. PDF (45M) format. Page images courtesy of Ed Pegg, Jr., and www.mathpuzzle.com.
Problems in Alternating Current Machinery, Waldo V. Lyon. New York: McGraw-Hill Book Company, Inc., 1914. PDF (12M) format. Scan courtesy of Paul C. Moews.
Mince Pie, Christopher Morley, illustrated by Walter Jack Duncan. New York: George H. Doran Co., 1919. PDF (12.1M) format. Scan courtesy of Paul C. Moews.
An Introduction to Celestial Mechanics, Forest Ray Moulton. New York: The Macmillan Company, 2nd revised edition, 1914. PDF (30M) format. Scan courtesy of Paul C. Moews.
The Story of the British Race, John Munro. New York: D. Appleton and Company, 1899, The Library of Useful Stories series. PDF (14M) format. Scan courtesy of Paul C. Moews.
Laboratory Exercises in Inorganic Chemistry, James F. Norris and Kenneth L. Mark. New York: McGraw-Hill Book Company, Inc., 1922. PDF (22M) format. Scan courtesy of Paul C. Moews.
The Principles of Organic Chemistry, James F. Norris. New York: McGraw-Hill Book Company, Inc., 2nd ed., 1922. PDF (51M) format. Scan courtesy of Paul C. Moews.
Bill Nye's History of the United States, Bill Nye, illus. F. Opper. Philadelphia: J. B. Lippincott Co., 1894. PDF (22M) format. Scan courtesy of Paul C. Moews.
Organic Chemistry, W. H. Perkin and F. Stanley Kipping. London: W. & R. Chambers, Ltd., 1916. PDF (49M) format. Scan courtesy of Paul C. Moews.
Differential Equations, H. B. Phillips. New York: John Wiley & Sons, Inc., 1922. PDF (3.5M) format. Scan courtesy of Paul C. Moews.
The History of Music, Waldo Selden Pratt. New York: G. Schirmer, 1907. PDF (71M) format. Scan courtesy of Paul C. Moews.
The Oxford Book of English Verse, 1250–1900, edited by Arthur Quiller-Couch. Oxford: Oxford University Press, 1918. PDF (36M) format. Scan courtesy of Paul C. Moews.
Apollo: An Illustrated Manual of the History of Art Throughout the Ages, Salomon Reinach, translated from the French by Florence Simmonds. New York: Charles Scribner's Sons and London: William Heinemann, new ed., 1917. PDF (97M) format. Scan courtesy of Paul C. Moews.
The Story of the Empire, Edward Salmon. London: George Newnes, Ltd., 1902, The Library of Useful Stories series. PDF (10.5M) format. Scan courtesy of Paul C. Moews.
The Earth in Past Ages, H. G. Seeley. New York: Review of Reviews Company, 1910, Stories of the Universe series; orig. pub. D. Appleton and Company, 1895. PDF (14M) format. Scan courtesy of Paul C. Moews.
Analytic Geometry, Lewis Parker Siceloff, George Wentworth, and David Eugene Smith. Boston: Ginn and Company, 1922. PDF (16M) format. Scan courtesy of Paul C. Moews.
The Psychology of Suggestion, Boris Sidis, intr. by William James. New York: D. Appleton and Company, 1899. Scan is of Arno Press reprint (1973). PDF (37M) format.
Theoretical Mechanics, Percey F. Smith and William Raymond Longley. Boston: Ginn and Company, 1910. PDF (19M) format. Scan courtesy of Paul C. Moews.
A New Account of Some Parts of Guinea, and the Slave-Trade, William Snelgrave. London: printed for James, John, and Paul Knapton, 1734. Scan is of Gale ECCO Print Edition reprint (2010). PDF (134M) format.
The Theory and Practice of Perspective, G. A. Storey. Oxford: Clarendon Press, 1910. PDF (18M) format. Scan courtesy of Paul C. Moews.
Theoretic Arithmetic, Thomas Taylor. London: printed for the author by A. J. Valpy, 1816. Scan is of Kessinger Publishing reprint (2003). PDF (22M) format. Scan courtesy of Paul C. Moews.
Calculus Made Easy, Silvanus P. Thompson. New York: Macmillan, second, enlarged ed., 1914. PDF (12M) format. Scan courtesy of Paul C. Moews.
Essentials of Alternating Currents, W. H. Timbie and H. H. Higbie. New York: John Wiley & Sons, Inc., 1919. PDF (26M) format. The PDF file also includes the pamphlet Answers to Problems in Essentials of Alternating Currents. Scan courtesy of Paul C. Moews.
Physics, Willis E. Tower, Charles H. Smith, Charles M. Turton, and Thomas D. Cope. Philadelphia: P. Blakiston's Son & Co., 1920. PDF (39M) format. Scan courtesy of Paul C. Moews.
Analytical Chemistry, F. P. Treadwell, tr. and revised by William T. Hall, vol. I. New York: John Wiley & Sons, Inc., 4th English after 8th German ed., 1916. PDF (47M) format. Scan courtesy of Paul C. Moews.
Analytical Chemistry, F. P. Treadwell, tr. by William T. Hall, vol. II. New York: John Wiley & Sons, Inc., 5th ed., 1919. PDF (73M) format. Scan courtesy of Paul C. Moews.
Continuous Increasing Functions of Finite and Transfinite Ordinals, Oswald Veblen, Transactions of the American Mathematical Society, 9, #3 (July 1908), 280–292. PDF (2.0M) format.
Candide, Voltaire, intr. Philip Littell. New York: The Modern Library, 1918. PDF (9M) format. Scan courtesy of Paul C. Moews.
A Dictionary of Quotations from English and American Poets, Anna L. Ward, ed. New York: Thomas Y. Crowell & Co., 1883. PDF (50M) format. Scan courtesy of Paul C. Moews.
An Encyclopædia of Domestic Economy, T. Webster and Mrs. Parkes, ed. D. M. Reese. New York: Harper & Brothers, 1848. PDF (195M) format. Scan courtesy of Paul C. Moews.
Plane Geometry, George Wentworth and David Eugene Smith. Boston: Ginn and Company, 2nd ed., 1913. PDF (15M) format. Scan courtesy of Paul C. Moews.
Solid Geometry, George Wentworth and David Eugene Smith. Boston: Ginn and Company, 2nd ed., 1913. PDF (12M) format. Scan courtesy of Paul C. Moews.
Plane and Spherical Trigonometry, George Wentworth and David Eugene Smith. Boston: Ginn and Company, 1915. PDF (17M) format. Scan courtesy of Paul C. Moews.
The Story of Our Army, Owen Wheeler. London: George Newnes, Ltd., 1902, The Library of Useful Stories series. PDF (12.0M) format. Scan courtesy of Paul C. Moews.
The Pentecost of Calamity, Owen Wister. New York: The Macmillan Company, 1915. PDF (3.7M) format. Scan courtesy of Paul C. Moews.
The Miscellany of a Japanese Priest, a translation of Tsure-Zure Gusa, by Kenkō Yoshida; translated by William N. Porter, intr. by Sanki Ichikawa. London: Humphrey Milford, 1914. PDF (20.9M) format. Scan courtesy of Paul C. Moews.
The following books, contributed by Paul C. Moews, have been cropped so as to be easily readable on an e-book reader with a small screen, such as the iRex iLiad.
The Stars, George F. Chambers. New York: Review of Reviews Company, 1910, Stories of the Universe series; orig. pub. D. Appleton and Company, 1895. PDF (4.4M) format.
The Story of Eclipses, George F. Chambers. New York: S. S. McClure Co., 1909, Library of Valuable Knowledge series; orig. pub. D. Appleton and Company. PDF (5.7M) format.
The Story of the Solar System, George F. Chambers. New York: S. S. McClure Co., 1909, Library of Valuable Knowledge series; orig. pub. D. Appleton and Company, 1895. PDF (6.0M) format.
Real Soldiers of Fortune, Richard Harding Davis. New York: Charles Scribner's Sons, 1911. PDF (6.2M) format.
A Treatise on Astronomy, John F. W. Herschel, with preface and questions by S. C. Walker. Philadelphia: Carey, Lea, & Blanchard, new ed., 1836. PDF (17M) or rotated PDF (17M) format.
Mince Pie, Christopher Morley, illustrated by Walter Jack Duncan. New York: George H. Doran Co., 1919. PDF (6.0M) format.
The Oxford Book of English Verse, 1250–1900, edited by Arthur Quiller-Couch. Oxford: Oxford University Press, 1918. PDF (17M) format.
The War in Eastern Europe, John Silas Reed, illustrated by Boardman Robinson. New York: Charles Scribner's Sons, 1919; volume 5, The War on All Fronts series. PDF (9.7M) format.
Candide, Voltaire, intr. Philip Littell. New York: The Modern Library, 1918. PDF (5M) format.
The Pentecost of Calamity, Owen Wister. New York: The Macmillan Company, 1915. PDF (3.3M) format.
The Miscellany of a Japanese Priest, a translation of Tsure-Zure Gusa, by Kenkō Yoshida; translated by William N. Porter, intr. by Sanki Ichikawa. London: Humphrey Milford, 1914. PDF (6.5M) format.
Series of reprint anthologies:
Library of Little Masterpieces series. Published by Doubleday, Page & Company for The Review of Reviews Company, 1909.
Volumes 19–24 of the Library of Little Masterpieces series appear to have been originally published in 1905 as Little Masterpieces of English Poetry (6 vols.), edited by Henry van Dyke and Hardin Craig, and published by Doubleday, Page & Company. Volume 21 of the Library of Little Masterpieces therefore corresponds to volume 3 of this series, available in 600 dpi PDF (8.9M) format.
Seeing Europe with Famous Authors series, ed. by Francis W. Halsey. New York and London: Funk & Wagnalls, 1914.
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David Moews ( [email protected] )
Last significant update 3-III-2020