Mathematics Papers
| ・ | Reversible Nets of Polyhedra, to appear in LNCS(2016) (with S. Langerman, and K. Matsunaga), LNCS (2016) |
| ・ | A Criterion for a pair of polygons to be reversible, (with H.Seong), Graphs and Combinatorics.Vol.31(2015), 347-360 |
| ・ | Decision Algorithm for Reversible Pairs of Polygons,(with D.Rappaport and H.Seong),Discrete Applied Math.Vol.178(2014),19-26 |
| ・ | Atoms for Parallelohedra, (with M. Kobayashi, H. Nakagawa, G. Nakamura and I. Sato), “Geometry-Intuitive, Discrete and Convex”, Bolyai Society Math. Studies, Vol.24 (2013), 23-43, Springer-Verlag |
| ・ | On the diagonal weights of inscribed Polytopes, (with I. Sato), Elemente der Mathematik, Vol.68, Issue 3,(2013)89-92, European Math Soc. |
| ・ | An Algorithm for Determining whether a Pair of Polygons is Reversible, Frontiers in Algorithmics and Alogorithmic Aspects in Information and Management, LNCS7924(2013), 2-3(with H. Seong) |
| ・ | Tessellabilities, Reversibillities, and Decomposabilities of Polytopes,GSI 2013, LNCS8085(2013),215-223 (with I. Sato and H. Seong ) |
| ・ | Operators which preserve reversibility, (with H. Seong), Computational Geometry and Graphs, LNCS8296(2013), 1-19 |
| ・ | A Note on the Existence of a Universal Polytope among Regular 4-Polytopes, J. Indones. Math. Soc. Vol. 19, No.1(2013),41-47(with S. Hitotumatu and I. Sato) |
| ・ | On Reversibility among Parallelohedra, Computational Geometry, LNCS 7579 (2012) , 14-28 (with I. Sato and H. Seong) |
| ・ | Determination of the Element Numbers of Regular Polytopes, Geometriae Dedicata, Vol.159(2012), 89-97, (with S. Hitotumatu and I. Sato) |
| ・ | Determination of All Tessellation Polyhedra with Regular Polygonal Faces, Computational Geometry and Graph Theory, Lecture Notes in Computer Science, Springer Vol.7033, 1-11 (2011) (with T. Kawabata et., al.) |
| ・ | Minimum Perimeter Developments of the Platonic Solids, Thai J. of Math, 9(3), 461-487 (2011) (with G. Nakamura, X. Chen and M-J. Ruiz) |
| ・ | Arrangements of n points whose incident-line-numbers are at most n/2, Graphs and Combinatorics, 27(3), 321-326 (2011) (with H. Ito, M. Kobayashi, and G. Nakamura) |
| ・ | The Element Number of the Convex Regular Polytopes, Geometriae Dedicata, Vol.151. Issue 1, 269-278(2011), Springer.(with I. Sato) |
| ・ | Math as I like it, -Problems and Conjectures on Polyhedra- Severino V. Gervacio International Conference on Graph Theory and Combinatorics, The DLSU Mathematics Inbox, Special issue 2009, 13-36.(2010) |
| ・ | Element Number of the Platonic Solids, Geometriae Dedicata, Vol.145, Issue1,181-193 (2010), Springer-Verlag.( with H. Maehara, G. Nakamura, and I.Sato) |
| ・ | Chromatic Numbers of Specified Isohedral Tilings, Computational Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 4535,14-24 (2008) (with C. Nara) MR2672379 |
| ・ | Dudeney Transformation of Normal Tiles. Computational Geometery and Graph Theory,Lecture Notes in Computer Science Vol.4535 (2008), 1-13 (with M. Kobayashi and G. Nakamura) MR2672378 |
| ・ | Universal Measuring Boxes with Triangular Bases,Amer. Math. Monthly,Vol.115,No.3,(2008)195-201(with H. Fukuda, C.Nara, T. Sakai and J. Urrutia) MR2395030 |
| ・ | Developments of Polyhedra Using Oblique Coordinates. J. Indonesian Math. Society 13,99-114(2007)(with C. Nara) |
| ・ | Tile Makers and Semi-Tile Makers.Amer. Math. Monthly 114, 602-609(2007) MR2341323 (2008j:52032) |
| ・ | Infinite Series of Generalized Gosper Space Filling Curves. Discrete Geometry, Combinatorics and Graph Theory,Lecture Notes in Comput. Sci. Springer-Verlag 4381, 1-9(2007)(with H. Fukuda, H. Ito and G. Nakamura)MR2364743 (2009a:28019) |
| ・ | Tilings and fractals from developments of doubly-covered squares Matimyas Matematika, J. Philippines Math. Soc. Vol.29, No.3, 15-24(2006) (with C.Nara) |
| ・ | Self-Replicating Tilings and Fractals from Developments of Doubly Covered Squares. Proc. .lnt'l .Conf. .Math. Nat. Sci.(ICMNS),17-22(2006)(with C.Nara) |
| ・ | Equidistant Pairs on Two Lattice Lines. The Bulletin of the Higher Education Research Institute, Tokai University 14, 65-72(2006) (with M. Kobayashi, G.Nakamura and C. Nara) |
| ・ | Convex Developments of a Regular Tetrahedron Computational Geometry : Theory and Applications. 34(1),2-10 (2006)(with K. Hirata, M. Kobayashi and G. Nakamura)MR2205942 (2006k:52027) |
| ・ | Editorial [Special issue on the Japan Conference on Discrete and Computational Geometry 2004]. Held at Tokai University, Tokyo, October 8-11, 2004. Comput.Geom. 34 (2006), No.1 52-06 (52B55 65-06 65D18 68-06 68U05) (with M. Kano, X. Tan) MR2205941 |
| ・ | Foldings of Regular Polygons to Convex PolyhedraⅠ: Equilateral Triangles.Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. Sci.Springer-Verlag 3330, 34-43(2005) (with G. Nakamura) MR2172957 (2006e:52004) |
| ・ | Uniform Coverings of 2-Paths with 6-Paths in the Complete Graph. Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 3330,25-33(2005, (with M. Kobayashi and G. Nakamura) MR2172956 (2006e:05132) |
| ・ | Flat 2-Foldings of Convex Polygons .Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. .Sci. Springer-Verlag 3330, 14-24(2005)with K.Hirata, M-J. Ruiz and J. Urrutia)MR2172955 (2006e:52003) |
| ・ | On Convex Developments of a Doubly-Covered Square. Combinatorial Geometry and Graph Theory,Lecture Notes in Comput. Sci. Springer-Verlag 3330, 1－13(2005) (with K. Hirata) MR217295 (2006e:52002) |
| ・ | Foldings of Regular Polygons to Convex Polyhedra III: Regular Hexagons and Regular n-Gons, n＞7, Thai J. Math. 2(1),1－14(2004)(with G. Nakamura) |
| ・ | A Problem on Hinged Dissections with Colours. Graphs and Combinatorics 20 (2),145－159(2004)(with F. Hurtado, C.Merino and J. Urrutia) |
| ・ | Symmetric Hamilton Cycle Decompositions of the Complete Graph. Journal of Combinatorial Designs 12 (1),39-45(2004)(with M. Kobayashi and G. Nakamura)MR2024248 (2004i:05089) |
| ・ | Impact of Binary and Fibonacci Expansions of Numbers on Winning Strategies for Nim-like Games. International Journal of Mathematical Education in Science and Technology 34 (1),121－135(2003)(with T.Ooya)(MR1958736) |
| ・ | Congruent Dudeney Dissections of Polygons-All the Hinge Points on Vertices of the Polygon. Discrete and Computationa1 Geometry, Lecture Notes in Comput.Sci, Springer-Verlag 2866, 14-21(2003)(with G. Nakamura)MR2155750 |
| ・ | Maximin Distance for n Points in a Unit Square or a Unit Circle. Discrete and Computational Geometry,Lecture Notes in Comput. Sci.,Springer-Verlag 2866,9－13(2003)(with G. Nakamura,R. Mochizuki and N. Mutoh)MR2097247 (2005g:52042) |
| ・ | UniversaI Measuring Devices with Rectangular Base.Discrete and Computational Geometry, Lecture Notes in Comput. Sci.,Springer-Verlag 2866, 1-8 (2003)(with H. Fukuda and G. Nakamura)MR2097246 |
| ・ | Foldings of Regular Polygons to Convex Polyhedra II: Regular Pentagons. J. Indones.Math. .Soc.(MIHMI)9(2),89-99(2003) (with G. Nakamura)MR2023091(2005a:52013) |
| ・ | Determination of All Convex Polygons which are Chameleons-Congruent Dudeney Dissections of Polygons. IEICE TRANS. Fundamentals E86-A (5),978-986(2003) (with G. Nakamura) |
| ・ | Congruent Dudeney Dissections of Triangles and Convex Quadrilaterals-All Hinge Points Interior to the Sides of the Polygons. Discrete and Computational Geometry, The Goodman-Pollack Festschrift. (B. Aronov, S. Basu, J. Pach and M. Shrir, eds.), Algorithms and Combinatorics, Springer-Verlag 25, 43-63(2003) (with G. Nakamura) MR2038469 (2004m:52029) |
| ・ | The Optimality opf a Certain Purely Recursive Dissection for a Sequentially n-Divisible Square. Computational Geometry: Theory and Applications 24(1), 27-39(2003) (with G. Nakamura, A. Nozaki, K. Ozawa and T. Sasaki) MR1949922 (2003K:90032) |
| ・ | Graphs G for which both G and Gare Contraction Critically k-Connected .Graphs and Combinatorics 18 (4), 693-708(2002)(with K. Ando and Y. Egawa)MR1964786(2004b:05119) |
| ・ | On Dudeney’s Round Table Problem for p＋2. Ars Combinatorica 62, 145-154(2002)(with M. Kobayashi and G. Nakamura)MR1881954 (2002j:05096) |
| ・ | Congruent Dudeney dissections of polygons. .All the hinge points are vertices of the polygon. The Ninth Quadrennial International Conference on Graph Theory, Combinatorics, Algorithms and Applications, 12-19. (electronic), Electron. Notes Discrete Math., 11, Elsevier, Amsterdam, (2002) 52B45 (05B25)(with G. Nakamura) |
| ・ | Simple Winning Strategies for Wythoff's Game. The Bulletin of the Higher Education Research Institute, Tokai University 9, 53-60 (2001) (with T.Ooya) |
| ・ | Sequentially Divisible Dissections of Simple Polygons. Discrete and Computational Geometry, Lecture Notes in Comput. Sci.,Springer-Verlag 2098,53-66(2000)(with T. Sakai and J. Urrutia)MR2043637 |
| ・ | A Note on the Purely Recursive Dissection for a Sequentially n-Divisible Square. Discrete and Computational Geometry, Lecture Notes in Comput. Sci.,Springer-Verlag 2098,41－52(2001)(with G. Nakamura,A. Nozaki and K. 0zawa)MR2043636 |
| ・ | Universal Measuring Devices without Gradations. Discrete and Computational Geometry, Lecture Notes in Comput. Sci.,Springer-Verlag 2098, 31-40(2001)(with H. Fukuda, G. Nakamura, T. Sakai, J. Urrutia and C. Zamora-Cura)MR2043635 |
| ・ | Dudeney Dissections of Polygons and Polyhedrons -A Survey-. Discrete and Computational Geometry,Lecture Notes in Comput. Sci.,Springer-Verlag 2098,1-30(2001) (with G. Nakamura)MR2043634 |
| ・ | Solids Through Reflecting Mirrors. Teaching Mathematics and lts Applications 19 (2),0xford University Press, 62-68(2000)(with G. Nakamura) |
| ・ | Variations of the Tiling Problem. Teaching Mathematics and Its Applications, 0xford University Press 19 (1),8-12(2000)(with G. Nakamura) |
| ・ | Dudeney Dissections of Polygons. Discrete and Computational Geometry, Lecture Notes in Comput. Sci.,Springer-Verlag 1763, 14-29(2000)(with G. Nakamura) |
| ・ | Radial Perfect Partitions of Convex Sets in the Plane. Discrete and Computational Geometry, Lecture Notes in Comput. Sci.,Springer-Verlag 1763, 1-13 (2000)(with A. Kaneko, M. Kano,G. Nakamura, E. Rivera-Campo, S. Tokunaga and J. Urrutia) |
| ・ | A Lesson on Double Packable Solids. Teaching Mathematics and Its Applications,Oxford University Press 18 (1),30-33(1999)(with G. Nakamura) |
| ・ | Stochastic Voting Protocol to Protect Voters Privacy. 1999 IEEE Workshop on Internet Applications,IEEE Computer Society 103－111 (1999)(with H. Kikuchi, H. Gobioff and G. Nakamura) |
| ・ | Complete Arrangement of Chessboards. The Bulletin of the Higher Education Research Institute, Tokai University 6, 99一112(1998) (with M-J. Ruiz) |
| ・ | Perfect Divisions of a Cake. Proc. of the Tenth Canadian Conference on Computational Geometry ‘98, 1-9(1998)(with E. Rivera-Campo,G.Nakamura and J. Urrutia) |
| ・ | Wrapping a Cube. Teaching Mathematics and Its Applications, Oxford University Press 16 (3),95-100 (1997)(with T. 0oya and Y. Segawa) |
| ・ | An Efficient Dissection for a Sequentially n-Divisible Square. Proc. of Discrete and Computational Geometry Workshop ‘97, 80-89(1997)(with G. Nakamura) |
| ・ | On Circles Containing the Maximum Number of Points. Discrete Mathematics 151 (1-3),15－18(1996)(with Y. Ishigami, M. Urabe and J. Urrutia) |
| ・ | Some Combinatorial Problems. Discrete Mathematics 116 (1-3),291-298 (1993)(with K. Hosono and M. Urabe) |
| ・ | From the managing editor. Graphs Combin. 9(1993), No.1, 1. DML Item MR1554362 |
| ・ | A generalization of a problem posed in Mathematics Olympiad. Proc. Fac.Sci. Tokai University. 27, 59-61(1992), (with M. Nakajima) MR1218841(94d:51019) |
| ・ | Packing Paths Perfectly. Discrete Mathematics 85 (3),247－255(1990) (with V. Chvátal)MR1081834 (92a:68114) |
| ・ | Simple Alternating Path Problem. Discrete Mathematics 84 (1),101-103(1990) (with J. Urrutia)MR1065718 (91d:05084) |
| ・ | A Note on Balanced Colourings for Lattice Points. Discrete Mathematics 83 (1),123-126(1990)(with J. Urrutia)MR1065692 (91f:05049) |
| ・ | Path Chromatic Numbers of Graphs. Journal of Graph Theory 13 (5), 569-575(1989)(with H. Era, S. Gervacio and M. Watanabe)MR1016277 (90g:05076) |
| ・ | Packing Smaller Graphs into a Graph. Discrete Mathematics 75 (1-3),7-9(1989)(with F Nakada and S. Tokunaga)MR1001380 (90c:05159) |
| ・ | Disjoint Simplices and Geometric Hypergraphs. Combinatorial Mathematics : Proc. of the Third lnternational Conference, Annals of the New York Academy of Sciences 555, 1－3(1989)(with N. Alon) |
| ・ | Maximum Induced Forests of Planar Graphs. Graphs and Combinatorics 3 (2),Research Problem 201-202(1987)(with M. Watanabe)MR1554352 |
| ・ | Intersection Graphs and Their Applications. Matimyás Mathematika, Philippines
Math. Soc. 9(1),8-33(1985 (with M-J. Ruiz)MR0816112 (86m:05037) |
| ・ | Eccentric Graphs. Discrete Mathematics 56 (1),1-6(1985)(with K. Ando and D. Avis)MR0808082 (87d:05134) |
| ・ | 1-Factors of Triangle Graphs. Number Theory and Combinatorics,Tokyo 1984,World Scientific Publishing 21-35 (1985) (with M. Kano) |
| ・ | Tiling Finite Figures Consisting of Regular Polygons. Proc. of the 5th International Conference on Graph Theory and its Applications, Wiley-lnterscience 1-13 (1985) (with M. Kano and M-J. Ruiz)MR0812652 (87h:05069) |
| ・ | On the Size of Graphs with Complete-Factors Journal of Graph Theory 9(1),(1985)197-201(with P. Frankl)MR0785662 (86g:05069) |
| ・ | Almost-Regular Factorization of Graphs. Journal of Graph Theory 9 (1),(1985)123－128(with M. Kano)MR0785655 (86f:05073) |
| ・ | Factors and Factorizations of Graphs一A Survey. Journal of Graph Theory
9 (1),1-42(1985) (with M. Kano)MR0785648 (86e:05070) |
| ・ | Introduction to Graph Factors. Matimyas Mathematika, Philippines Math. Soc. 8 (1),1-26(1984)(with M-J. Ruiz) |
| ・ | Cube Factors. Graph Theory and its Applications,Lecture Notes in Comput.Sci.,Springer-Verlag 1073,93-99(1984) (with D. Avis)MR0761009 85k:05082) |
| ・ | A Graph and Its Complement with Specified Properties Ⅷ: Intervai Graphs. Mathematica Japonica 29 (4),659-670(1984) (with K. .Ando and F. Harary)MR0759456(86b:05061) |
| ・ | Miscellaneous Properties of Equi一Eccentric Graphs. Annals of Discrete Mathematics 20,13－23 (1984) (with K. .Ando and D. Avis)MR0791008 (86j:05115) |
| ・ | The Regulation Number of a Graph. Publications de I’Institut Mathematique, Beograd Math. Soc. 34(48),3－5(1983)(with F. Harary)MR0770005 (86a:05109) |
| ・ | A Graph and Its Complement with Specified Properties Ⅳ: Chromatic and Achromatic Numbers. Pacific Journal of Mathematics 104 (1),15－27(1983)(with F. Harary and R Ostrand)MR0683724 (84h:05101a) |
| ・ | Regular Graphs Containing a Given Graph. Elemente der Mathematik 38 (1),15-17(1983)(with H. Era and F. Harary)MR0696668 (84h:05072) |
| ・ | Characterizations and Classifications of Biconnected Graphs. Annals of Discrete Mathematics 13, 1-14(1982) (with K. .Ando and H. Mizuno) |
| ・ | Path Factors of a Graph. Graphs and Applications (F. Harary and J. S. .Maybee eds.),Wiley-Interscience,1-21(1982) (with M. Kano)MR0778395 (86d:05092) |
| ・ | Factorization and Linear Arboricity of Graphs. Doctoral Thesis. Tokyo University of Science (1982) |
| ・ | A Short Proof of the Linear Arboricity for Cubic Graphs. Bull. Liber, Arts ＆Sci., NMS(Nippon Medical school) (2),1-3(1981)(with V. Chvatal) |
| ・ | Balancing Signed Graphs. Discrete Applied Mathematics 3, 227-233(1981)(with D. Avis, V. .Chvatal and H. Era) |
| ・ | Equi-Eccentric Graphs with Equi-Eccentric Complements. TRU Mathematics 17 (1),113－115(1981) (with K. Ando)MR0630288 (83a:05081) |
| ・ | On the Connectivity of n-Trees. TRU Mathematics 17(1),117-121(1981)(with I. Sato)MR0630289 (83b:05052) |
| ・ | Covering and Packing in Graphs Ⅳ: Linear Arboricity. Networks 11 (1),69－72(1981)(with G. Exoo and F. Harary)MR0608921 (82k:05085b) |
| ・ | A Status on the Linear Arboricity. Graph Theory and Algorithms, Lecture
Notes in Comput. Sci. .Springer-Verlag 108, 38-44(1981) |
| ・ | A Graph and lts Complement with Specified Properties Ⅶ: A Survey. The Theory and Applications of Graphs, Wiley-lnterscience 1－12 (1981)(with F Harary) |
| ・ | Further Results on Graph Equations for Line Graphs and n-th Power Graphs. Discrete Mathematics 34(3),209-218(1981) (with H. Era and G. Exoo)MR0613401 (82f:05082) |
| ・ | A Graph and lts Complement with Specified Properties. .IV: Counting Self-Complementary Blocks. Journal of Graph Theory 5 (1),103-107 (1981)(with F. Harary)MR0604310 (82i:05062d) |
| ・ | The Cohesiveness of a Point of a Graph. Networks 11,65－68(1981)(with F. Boesch, H. Era, F Harary and R. Tindell)MR0608920 (82f:05065) |
| ・ | Another Proof of Euler's Theorem for Digraphs. Bull. Liber. Arts ＆Sci., NMS(Nippon Medical School)(1),19-21(1980) |
| ・ | Another Proof of Five Color Theorem. Bull .Liber. Arts＆Sci.,NMS(Nippon Medical School) (1)17-18 (1980) with T. Hamada) |
| ・ | On a [1, 2]-Factor of a Graph. TRU Mathematics 16(2),97－102(1980)(with D. Avis and H. Era)MR0616992 (82f:05080) |
| ・ | Covering and Packing in Graphs Ⅲ: Cyclic and Acyclic lnvariants. Mathematica Slovaca 30 (4),405－417(1980)(with G. Exoo and F. Harary)MR0595302 (82k:05085a) |
| ・ | A Graph and Its Complement with Specified Properties V: The Self Complement lndex. Mathematika 27(1),64-68(1980)(with G. Exoo and F. Harary)MR0566658 (82i:05062e) |
| ・ | A Graph and lts Complement with Specified Properties II : Unary Operations. Nanta Mathematica 12 (2),110-116(1979) with F. Harary)MR0566658 (82i:05062b) |
| ・ | On a Structure of Graphs with W-Sets. TRU Mathematics 15 (2),43-46(1979) with H. Era)MR0564367 (81e:05091) |
| ・ | A Graph and Its Complement with Specified Properties Ⅲ: Girth and Circumference. lnternational Journal of Mathematics and Mathematical Sciences 2(4),685－692(1979) with F. Harary)MR0549535 (82i:05062c) |
| ・ | The Graphs with All Induced Subgraphs Isomorphic. Bull. Malaysian Math. Soc. (2) 2 (1),43-44 (1979) (with G. Exoo and F. Harary)MR0545802 (81b:05084) |
| ・ | A Graph and Its Complement with Specified Properties I: Connectivity. International Journal of Mathematics and Mathematical Sciences 2 (2),223-228 (1979) with F. Harary)MR0539199 (82i:05062a) |
| ・ | The Decompositions of Line Graphs, Middle Graphs and Total Graphs of Complete Graphs into Forests. Discrete Mathematics 26 (3),203-208(1979)(with T. Hamada)MR0535245 (80h:05020) |
| ・ | Forbidden Subgraphs for Planar Total Graphs,Middle Graphs and Iterated Line Graphs.Journal of Combinatorics,Information and System Sciences, Indian Math. Soc.3(4),255－260(1978)MR0529343 (80h:05022) |
| ・ | Graph Equations for Line Graphs and n-th Power Graphs I. Publications de l’lnstitut Mathematique,Beograd Math. Soc .23(37),5-8(1978)(with K.Kaneko and S. Simic)MR0508120 (80c:05106) |
| ・ | A Note on the Arboricity of the Complement of a Tree.TRU Mathematics 13 (1),55-57(1977)(with T. Hamada)MR0465911 (57#5797) |
| ・ | A Solution of Graph Equation for Line Graphs. TRU Mathematics 12 (2),35-43(1976)(with T. Hamada and I. Yoshimura)MR0460182 (57#177b) |
| ・ | Graph Equations for Line Graphs,Total Graphs and Middle Graphs. TRU Mathematics 12 (2),31－34 (1976) (with T. Hamada and I. Yoshimura)MR0460181 (57#177a) |
| ・ | On Characterizations of the Middle Graphs. TRU Mathematics 11, 35-39 (1975) (with T. Hamada and I. Yoshimura) MR0414436 (54#2538) |
| ・ | Miscellaneous Properties of Middle Graphs. TRU Mathematics 10,41－53(1974)(with T. Hamada and I. Yoshimura)MR0412028 (54#157) |
| ・ | S-Wellposedness of Partial Differential Equations with Constant Coeffients. Master’s Thesis. Sophia University(1972) |
Papers on Mathematics Education
| ・ | Case Study of Experimental Mathematics in Tokai Math Olympiad: A Report on Project Study about Tiling by Nets of Polyhedra, Bull. Higher Educ. Res. Inst., Tokai Univ., No.18, 33-48(2010), (with T. Kuwata et. al.)＊ in Japanese |
| ・ | Case Study for Experimental Mathematics in Tokai Math Olympiad: A Report on Project Study about the Decomposition of Platonic Solids, Bull. Higher Educ. Res. Inst., Tokai Univ, No.17, 1-32 (2009), (with T. Kuwata et. al.)＊ in Japanese. |
| ・ | On the Perimeter of the Developments of Semi-regular Polyhedra, Educational Development, Tokai University Vol.4, 3-30 (2008), (with G. Nakamura).＊ in Japanese |
| ・ | Fostering Creativity with Polyhedral Cutters: A Project Study Report from
the Tokai Math Olympiad, Bulletin of the Higher Education Research Institute,
Tokai University, No.16, 1030(2008), (with T. Sakai et. al.). ＊in Japanese. |
| ・ | Mathematics for Mass Media. Proc. of ICME 10. (2008) , DVD |
| ・ | Project Study to Improve an Ability to Solve Problems. Bulletin of the Higher Education Research Institute, Tokai University, No.15, 39-54 (2007), (with T. Shiotani et. al.)＊in Japanese |
| ・ | Popularizing Math through Mass Media. To appear in Proc. of the 10th MATH TED, Ateneo de Manila University, (2006). |
| ・ | A Proposal for Introducing Discrete Mathematics into High School Curriculum. Education Development №1, 75-89(2005) (with T. Sakai)＊in Japanese |
| ・ | Mathematical Circus http://www.eurocg.org/www.us.es/ewcg04/cosmoakiyama.pdf |
| ・ | A Transition from Elementary to High School Mathematics. Bulletin of the Higher Education Research Institute, Tokai University, No.2, 1-19(2004) (with T. Sakai)＊in Japanese |
| ・ | ME (Mathematical Enlightenment) ProjectーIdea and Activities－, Bulletin of the Higher Education Research Institute, Tokai University,. №11, 21-32(2003) (with K. Kakei)＊in Japanese |
| ・ | A New Field which can be Mine for a New Result. Proc. of Japan Society for Fuzzy Theory and Intelligent Infomatics 15 (1), 1 Preface (2003)＊in Japanese |
| ・ | What Does it Take to Get Students Excited About Mathematics? The Bulletin of the Higher Education Research Institute,Tokai University, 15-27(2003) (with C. Nara and T. Sakai) |
| ・ | Teaching Classroom Mathematics to Develop Creativity-Techniques and Evaluation
Instrument. Bulletin of the Higher Education Research Institute, Tokai University,. №10, 29-40(2002), (with C. Nara, T. Sakai, M. Sato, K. Ueda)＊in Japanese |
| ・ | Using "Study Projects" for Deeper and More Satisfying Learning Experiences-More Programs from Tokai Academic Mathematical Olympiads. The Bulletin of the Higher Education Research Institute, Tokai University, 9-52(2001),(with T. Ooya, T. Sakai, and C. Nara)＊in Japanese |
| ・ | Experimental Classroom Teaching of Mathematics in Practice with Emphasis on the Development of Innovative Mathematical Abilities and Related Challenging Problems. Bulletin of the Higher Education Research Institute, Tokai University, No.9, 9-27(2001) ＊in Japanese |
| ・ | Nonstandard Ways of Teaching Standard Mathematics II-Miscellaneous Properties of Circles-.The Bulletin of the Higher Education Research Institute, Tokai University, 1-14 (2000) (with T. Sakai,N.Torigoe and Y. Watanabe) |
| ・ | Review of the Report of Physics Education Committee. Proc. of Applied Physics Soc. 68 (3), 258-259(1999) ＊in Japanese |
| ・ | Teaching Probability Distributions with a Cradle Pinball Device. Proc.of the 8th Southeast Asian Conf. on Math. Educ.,Ateneo de Manila University Press, 69-75(1999) (with N.Torigoe) |
| ・ | Nonstandard Ways of Teaching Standard Mathematics.Proc.of the 8th Southeast Asian Conf. on Math. Educ., Ateneo de Manila University Press, 7-33(1999) (with T. Sakai and Y. Hirano) |
| ・ | Theorems and Problems in Basic Geometry Arisen from Everyday Life. The Bulletin of the Higher Education Research Institute, Tokai University , 113-134(1998) (with T. Sakai) |
| ・ | An Analysis of the Mathematical Art Exibition from the Viewpoint of Mathematics Education. Bulletin of the Higher Education Research Institute, Tokai University,. No.6, 85-97(1998) (with J. Ooya et al.) ＊in Japanese |
| ・ | Teaching Mathematics on Television. Proc. of the Second Asian Math. Conf.1995, 575-584(1998) |
| ・ | On the use of the History of Mathematics in Mathematics Education. The Bulletin of the Higher Education Research Institute, Tokai University, 67-79(1997) (with Y. Hirano) |
| ・ | A Generalization of a Problem Posed in Mathematics Olympiad. Proc. of Fac. of Sci., Tokai University, 59-61(1992) (with M. Nakajima) |