Contents
No. Title 『理系への数学』 Osaka Keidai Ronshu
『大阪経大論集』
International Journal of Pure and Applied Mathematics (IJPAM) etc
P まえがき Preface
1 Why Do Boomerangs Come Back? ブーメランはなぜ戻ってくるのか Vol.52, No.5, 37-54, Jan 2002. Vol.78, No.3, 335-347, 2012. The World of Boomerangs, Bulletin of Science, Technology & Society, Vol.22, No.1, 13-20,Feb 2002.
2 Five Petals: The Mysterious Number “5” Hidden in Nature 花びらの数理 Vol.52, No.6, 287-307, Mar 2002. Vol.78, No.3, 349-362, 2012. Why Is a Flower Five-Petaled? Journal of Science Education and Technology, Vol.13, No.1, 107-114, Apr 2004.
3 An Elegant Solution for Drawing a Fixed Point 不動点の作図 Vol.53, No.1, 175-189, May 2002. Vol.78, No.3, 363-377, 2012.
4 Stairway Light Switches 階段のスイッチ Vol.59, No.1, 11-18, May 2008. Vol.78, No.5, 657-667, 2012. A bright idea, PLUS, issue 36, University of Cambridge, Sep 2005.
5 The Mathematics of Fans 扇風機の数理 Vol.58, No.1, 13-20, Jul 2007. Vol.78, No.5, 669-678, 2012.
6 The Mathematics of Egg Shape 卵形の数理 Vol.58, No.3, 19-26, Sep 2007. Vol.78, No.5, 679-689, 2012.
7 What's in a Barcode?: Duplicated Combinations バーコード・シンボル Vol. 59, No. 6, 147-155, Mar 2009. Vol.78, No.8, 1099-1109, 2012.
8 Building Blocks and Harmonic Series 積み木と調和級数 Vol.55, No.2, 195-202, Jul 2004. Vol.78, No.8, 1111-1120, 2012. Building Blocks Problem Related to Harmonic Series, The Montana Mathematics Enthusiast,Vol.3, No.1, 76-84, Feb 2006.
9 Playing with Möbius Strips メビウスの帯で遊ぶ Vol.58, No.5, 13-20. Nov 2007. Vol.78, No.8, 1121-1130, 2012.
10 General Solution for Multiple Foldings of Hexaflexagons たたみかえの数理 Vol.58, No.6, 253-261, Jan 2008. Vol.58, No.1, 113-124, 2010. ヘキサフレクサゴン(hexaflexagon)の一般解, 大阪経大論集, Vol. 54, No. 4, 153-173, Nov 2003.
11 Turning Things Inside Out 裏返す Vol. 60, No. 6, 197-204, Mar 2010. Vol.79, No.2, 259-268, 2012.
12 Miura Folding: Applying Origami to Space Exploration ミウラ折り Vol. 60, No. 1, 17-24, May 2009. Vol.79, No.2, 269-279, 2012.
13 The Sepak Takraw Ball Puzzle セパタクローで数学を Vol.59, No.2, 141-149, Jul 2008. Vol.79, No.2, 281-291, 2012.
14 Increasing and Decreasing of Areas 図形の消滅 Vol.59, No.5, 15-21, Jan 2009. Vol.80, No.3, 385-393, 2012.
15 The Weirdness of Number 6174 6174の不思議 Vol.58, No.7, 93-100, Mar 2008. Vol.80, No.3, 363-373, 2012. Mysterious Number 6174, PLUS, issue 38, University of Cambridge, Mar 2006.
16 Numerical Palindromes and the 196 Problem 回文数と196 Vol. 61, No. 1, 157-163, May 2010. Vol.80, No.3, 375-384, 2012.
17 From Oldham's Coupling to Air Conditioners オルダム継手からエアコンまで Vol. 60, No. 3, 77-84, Sep 2009. Vol.81, No.1, 81-90, 2012.
18 Measuring Areas: from Polygons to Land Maps 面積を測る Vol.59, No.4, 149-155, Nov 2008. Vol.81, No.1, 91-99, 2012.
19 Sicherman Dice: Equivalent Sums with a Pair of Dice サイコロの目の和が同じ Vol. 60, No. 2, 185-192, Jul 2009. Vol.81, No.1, 101-110, 2012. Unit Fractions, PLUS, University of Cambridge, Feb 2012.
20 Unexpected Probabilities 意外性のある確率 Vol. 61, No. 2, 345-352, Jul 2010. Vol.81, No.6, 821-830, 2012.
21 Opening the Black Box of Random Numbers 乱数の仕組みを明かす Vol.59, No.3, 1-7, Sep 2008. Vol.81, No.6, 831-839, 2012.
22 Calculating √2 √2の計算 Vol.61, No.3, 43-50, Sep 2010. Vol.81, No.6, 841-856, 2012.
23 The Brachistochrone Curve: The Problem of Quickest Descent 最速降下問題 Vol. 61, No. 6, 309-316, Mar 2011. Vol.82, No.3, 409-419, 2013.
24 Machin's Formula and Pi 円周率とマチンの公式 Vol. 62, No. 1, 1-8, May 2011. Vol.82, No.3, 421-430, 2013.
25 Burnside's Lemma バーンサイドの補題 Vol. 62, No. 2, 205-212, July 2011. Vol.82, No.3, 431-440, 2013. バーンサイドの補題とその応用, 大阪経大論集, Vol. 57, No. 5, 47-60, Jan 2007.
26 Gauss' Method of Constructing a Regular Heptadecagon ガウスの正17角形作図法 Vol. 61, No. 5, 11-20, Jan 2011. Vol.82, No.5, 695-707, 2013.
27 Sudoku: the New Smash Hit Puzzle Game Sudokuがイギリスで大ブレイク Vol. 61, No. 4, 205-212, Nov. 2010. Vol.82, No.5, 709-718, 2013.
28 Odd and Even Number Cultures 奇数の文化と偶数の文化 Vol.57, No.1, 1-8, May 2006. Vol.82, No.5, 719-729, 2013. A Study of Odd- and Even-Number Cultures, Bulletin of Science, Technology & Society, Vol.26, No.6, 479-484, Dec 2006.
29 Cultures of Curves and Straight Lines 曲線の文化と直線の文化 Vol. 60, No. 4, 131-138, Nov 2009. Vol.85, No.5, 869-877, 2013.
30 Counting with the Fingers 指で数える Vol. 60, No. 5, 17-24, Jan 2010. Vol.85, No.5, 859-868, 2013.
A 著者プロフィール about the Auther
31 The Mathematics of Direction in Writing 書字方向の数理 Vol. 62, No. 4, 109-116, Nov 2011. Vol.61, No.3, 347-356, 2010.
32 Pattern Matching Probabilities and Paradoxes as a New Variation on Penney's Coin Game 確率のパラドックス Vol. 63, No. 4, 269-276, Nov 2012. Vol.59, No.3, 357-366, 2010. (1) Winning Odds, PLUS, issue 55, University of Cambridge, Jun 2010.
(2) 善科文庫,中国語版1
(3) Humble-Nishiyama Randomness Game - A new variation on Penney's Coin Game, Mathematics TODAY AUGUST 2010
33 Flexible Geometry 柔らかい幾何学 Vol. 63, No. 5, 19-26, Jan 2013. Vol.66, No.1, 61-70, 2011.
34 The Beautiful Van Aubel's Theorem 美しい Van Aubelの定理 Vol. 63, No. 6, 131-138, Mar 2013. Vol.66, No.1, 71-80, 2011.
35 Interesting Probability Calculations Using Cards to Win the Red or Black Game 赤と黒のゲーム必勝法 Vol. 63, No. 2, 149-155, July 2013. Vol.66, No.1, 81-90, 2011.
36 Fixed Points in Similarity Transformations 相似変換の不動点 Vol. 62, No. 3, 129-136, Sep 2011. Vol.56, No.3, 429-438, 2009.
37 The“52 Cycling Cards”Trick Using Modular Arithmetic 52巡回トランプ Vol. 64, No. 2, 49-56, July 2013. Vol.74, No.1, 1-10, 2012.
38 The Mathematics of The Straw Flute ストロー笛の数理 Vol. 64, No. 3, 21-28, Sep 2013. Vol.74, No.1, 11-20, 2012.
39 The Mathematics of Minor Keys 短調について考える Vol. 64, No. 4, 125-132, Nov 2013. Vol.67, No.2, 149-158, 2011.
40 Benham's Top ベンハムのコマ Vol. 62, No. 6, 87-94, Mar 2012. Vol.93, No.3, 399-408, 2014. 初出『無限大』(日本IBM広報誌、1979年10・12月号)、『サイエンスの香り』(日本評論社、1991年)170〜190ページに所収
41 Why \2000 Notes Are Unpopular 二千円札が流通しない理由 Vol. 62, No. 5, 1-6, Jan 2012. Vol.85, No.6, 993-1000, 2013.
42 Unit Fractions That Sum to 1 単位分数の和が1 Vol. 63, No. 1, 21-28, May 2012. Vol.85, No.1, 83-93, 2013. (1) Having Fun With Unit Fractions, PLUS, University of Cambridge, Feb 2012.
(2) 善科文庫,中国語版2
43 The Probability of Cards Meeting After a Shuffle トランプで同じ数字のカードが重なる確率 Vol. 63, No. 2, 149-155, Jul 2012. Vol.85, No.5, 849-857, 2013.
44 The Kruskal Principle クルスカルの原理 Vol. 63, No. 3, 53-60, Sep 2012. Vol.85, No.6, 983-992, 2013.
45 The Three-Color Triangle Problem 三角形三色問題 Vol. 64, No. 1, 9-20, May 2013. Vol.85, No.1, 69-81, 2013. Humble's prediction , Nishiyama's Triangle
46 A C60 Fullerene Model and Sepak Takraw Balls フラーレンC60モデルとセパタクローボール Vol. 65, No. 1, 23-37, May 2014.