Sicherman Dice: Equivalent Sums with a Pair of Dice (Special Issue of the Faculty of Economics; Studies Presented to Prof. Akira Shigemori on his Retirement)
スポンサーリンク
概要
- 論文の詳細を見る
George Sicherman discovered an interesting pair of dice whose sums have the same probalitiy distribution as a pair of standard dice, and this was reported by Martin Gardner in 1978. This pair of dice is numbered, 1,3,4,5,6,8 and 1,2,2,3,3,4, and is unique. In order to prove the uniqueness of his combination three methods are shown: trial-and-error with pencil and paper, a Visual Basic program, and factorization of polynomials. The third is the most elegant solution and was presented by Gallian and Rusin, as well as Broline in 1979.
- 大阪経済大学の論文
- 2009-07-15
著者
関連論文
- アンケートの自動集計に関する考察 -フォーム機能からCGIまで-
- Physics Beginning with Boomerangs
- ブーメランの科学
- ブーメランの飛行力学に関する研究
- ベンジャミン・ルー,エリック・ダーネル『ブーメラン』(その1)
- フェリックス・ヘス「ブーメランの空気力学」
- Sudoku: the New Smash Hit Puzzle Game (Special Issue of the Faculty of Business Administration)
- Opening the Black Box of Random Numbers
- From Oldham's Coupling to Air Conditioners
- Miura Folding: Applying Origami to Space Exploration
- Why \200\ notes are unpopular (Special Issue of the Faculty of Information Management)
- Counting with the Fingers (Special Issue of the Faculty of Information Management; Studies Presented to Prof. Izumi Watanabe on his Retirement)
- Fixed Points in Similarity Transformations (Essays in Memory of the Late Professor Hiroyasu Yamada)
- What's in a Barcode?: Duplicated Combinations (Special Issue of the Faculty of Human Sciences; Studies Presented to Prof. Motoo Mitsuda on his Retirement)
- Increasing and Decreasing of Areas (Special Issue of the Faculty of Information Management; Studies Presented to Prof. Yoshiharu Matsumoto on his Retirement)
- The Mathematics of Pleated Folding (Special Issue of the Faculty of Economics; Essays in Memory of the Late Professor Otohei Doi)
- The Weirdness of Number 6174 (Special Issue of the Faculty of Human Sciences; Studies Presented to Prof. Shigeru Morikawa on his Retirement)
- Benham's top (小林龍一教授 退職記念号)
- Odd and Even Number cultures
- Building Blocks and Harmonic Series (Special Issue of the Faculty of Economics; Studies Presented to Prof. Takeshi ITO on His Seventieth Birthday)
- ヘキサフレクサゴン(hexaflexagon)の一般解 (経営情報学部特集号:経営情報研究科開設記念)
- Construction of a Fixed Point
- Why is a Flower Five-Petaled?
- インターネット・ホームページの虚実 -くだもの電池を例に-
- オリガミ六角形の多面折り
- 耳式体温計についての考察
- 5弁の謎
- ガウスの正17角形作図法
- 電子体温計の上手な使い方
- 電子体温計の現状と今後の課題 : 特に婦人体温計における電子式とガラス製の精度比較について
- Flexible geometry: the topology of an entangled ring puzzle (Special Issue of the Faculty of Information Technology and Social Sciences)
- The Three-Color Triangle Problem (Essays in Memory of the Late Professor Yukio Ito)
- The "52 Cycling Cards" Trick Using Modular Artithmetic (Special Issue of the Faculty of Economics)
- The Kruskal Principle
- 電子体温計についての論文及び資料の索引
- パズル日本昔ばなし
- The probability of cards meeting after a shuffle (Special Issue of the Faculty of Economics; Studies Presented to Prof. Hiroshi Izumi, Prof. Kazuko Mano on Their Retirement)
- The Mathematics of the Straw Flute
- Numerical plaindromes and the 196 Problem (Essays in Memory of the Late Satoshi Okuda, Lecturer at Osaka University of Economics)
- Burnside's Lemma (Special Issue of the Faculty of Economics; Studies Presented to Prof. Tsuneto Yamamoto, Associate Prof. Takumi Sasano on Their Retirement)
- Turning Things Inside Out (Special Issue of the Faculty of Human Sciences)
- Machin's Formula and Pi
- The Brachistochrone Curve: The Problem of Quickewst Descent (Special Issue of the Faculty of Human Sciences; Studies Presented to Prof. Mieko Sakurai, Prof. Kunio Tanaka, Prof. Teruo Tarumoto on Their Retirement)
- Gauss' method of constructing a regular heptadecagon ([大阪経済大学]経営情報学部特集号)
- Calculating √2
- Unexpected Probabilities (Special Issue of the Faculty of Economics; Studies Presented to Prof. Saburo Honda on his Retirement)
- Cultures of Curves and Staright Lines (Special Issue of the Faculty of Business Administration)
- Sicherman Dice: Equivalent Sums with a Pair of Dice (Special Issue of the Faculty of Economics; Studies Presented to Prof. Akira Shigemori on his Retirement)
- Measuring Areas: from Polygons to Land Maps (Special Issue of the Faculty of Business Administration)
- The Sepak Takrow Ball Puzzle (Special Issue of the Faculty of Economics)
- Unit Fractions that Sum to 1