Mingjang Chen

Professor of Mathematics Education
Center for General Education, National Chiao Tung University
Hsinchu, Taiwan

Current research interests of mine include learning with cognitive consideration, and art with fractal flavor over the platform AMA on PowerPoint developed recently, which is an environment suitable for digital design of contents, together with its presentation. Structural cloning is a set of interfaces of the combinations of 2D Geometrical transformations, such as translation, rotations, scaling and reflections. Structural cloning has been implemented on AMA, an addins of PowerPoint. With this methodology, geometrical patterning include symmetrical patterns, tilling & tessellation, Escher tilling, contract mapping, Islamic pattern, classical fractal, and landscape painting can be drawn on PowerPoint friendly.

70 x 40 x 2 cm

Leaping Iteration (LI) is a native methodology that adapts the concept of “self-replication” to mimic “self-similarity”. LI can be used to design elements of landscape painting. However, LI can only work on one single generator and therefore the results generated by it are somehow limited. In this artwork, we present an enhanced version of LI, called “Inter Leaping Iteration (ILI)”, which can be regarded as “inter-replication” in the sense that the parts of a whole are similar to the whole of the others; the outcome of ILI can have more variability.

2 x 70 x 40 cm

A complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. The complete graph on n vertices is denoted by Kn. In this artwork, we will explore the superposition of multiple complete graphs. Using the method of overlapping of complete graphs on k*n vertices on circles, this artwork was created by AMA on PowerPoint. Through the processing of the line segment transparency, the overlapping of these complete graphs produces a difference in brightness and presents multi-level regular stars, cardioids, and rose curves to create an atmosphere of fractals and stone carvings.