A simple algorithm for constructing perfect monolinear sona tree drawings, and its application to visual art education

The traditional sona drawing art of Angola is compared from the structural point of view to similar geometric arts found in other parts of the world. A simple algorithm is proposed for constructing a sub-class of sona drawings, called perfect monolinear sona drawings, on a given set of points in the plane, that exhibit the topological structure of a tree. The application of the tree sona drawings obtained with this algorithm to the visual arts and Discipline Based Art Education is illustrated.

[1]  D. Pariser,et al.  Research methods and methodologies for art education , 1999 .

[2]  Robinson Thamburaj,et al.  Extended Pasting Scheme for Kolam Pattern Generation , 2006 .

[3]  Lois Swan Jones.  Art Information: Research Methods and Resources , 1990 .

[4]  Some Tools Common to Art and Science. , 1999 .

[5]  Stephen Zagala,et al.  Vanuatu Sand Drawing , 2004 .

[6]  Art History Inquiry Methods: Three Options for Art Education Practice. , 1998 .

[7]  Shojiro Nagata,et al.  Fundamental Study on Design System of Kolam Pattern , 2007 .

[8]  Peter Smith.  Art Education Historical Methodology: An Insider's Guide To Doing and Using. , 1995 .

[9]  Shojiro Nagata.  Digitalization and Analysis of Traditional Cycle Patterns in the World , 2006 .

[10]  L. Bresler.  Imitative, Complementary, and Expansive: Three Roles of Visual Arts Curricula. , 1994 .

[11]  Robert Emmett Mueller,et al.  Schemas: The Evolution of a Minimal Visual Art Form , 2017 .

[12]  D. Michaelides.  The Early Christian Mosaics of Cyprus , 1989, The Biblical Archaeologist.

[13]  J. LaChapelle.  Conflict between research and practice in art education: A sociological perspective , 1982 .

[14]  The Role of Artistic Play in Problem Solving , 2001 .

[15]  Elliot W. Eisner.  A Paradigm for the Analysis of Visual Problem Solving , 1961 .

[16]  H. Geismar.  The Materiality of Contemporary Art in Vanuatu , 2004 .

[17]  On the Topology of Celtic Knot Designs , 2004 .

[18]  P. Gerdes,et al.  African Sona, Mirror Curves and Lunda-Designs , 2007 .

[19]  Dorothy K. Washburn,et al.  Style, Classification, and Ethnicity: Design Categories on Bakuba Raffia Cloth , 1991 .

[20]  Jürgen Schmidhuber,et al.  Low-Complexity Art , 2017 .

[22]  J. Guilmain.  Interlace Decoration and the Influence of the North on Mozarabic Illumination , 1960 .

[23]  Katsumi Morita.  Shapes of Knot Patterns , 2006 .

[24]  W. D. Greer.  Developments in Discipline-Based Art Education (DBAE): From Art Education toward Arts Education , 1993 .

[25]  S. Richmond.  The Interaction of Art and Science , 2017 .