Animated Mathematical Model for Dimensional to Non- Dimensional Matter Using Bi-Section Method (Concept of Never-Ending Process)

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Published: 2020-07-03

Page: 149-158

Mahinder Singh *

Department of Mathematics, Govt Post Graduate College, Seema (Rohru) - 171207, India.

*Author to whom correspondence should be addressed.


The Concept of Never Ending is being modeled through the Bi-Section method depicting the popular cats and monkey story. The story is being modeled mathematically to explain the concept of never-ending process and to understand the reduction of two dimensions to one dimension, then one dimensional to non-dimensional, which cannot be further sub divided because the bread reduces to the form of a point. In this work it has been tried to explain the idea of animation by using series of drawings/images/patterns by applying the processes of kinematics and dynamic. To explain the model explicitly numerical calculation has been done and presented here, which qualifies this hypothesis.

The main objective of this research paper is try to show how two dimension is reduces to a one dimension and one dimension to point i.e. circle is reduces to a point by using a simple story based mathematical model, which easy to understand by non mathematical learner also. It also shows that how dimensional matter reduces to a non – dimensional quantity. Without this animated model such type of the mathematical result is not possible in such a simple manner. Animation can make mathematics more interesting and stimulating. It features a “hands on” exploratory and experimental learning tool, making mathematics more dynamic and meaningful.

Keywords: Animation, two cats & monkey, bi-section method, circular bread.

How to Cite

Singh, M. (2020). Animated Mathematical Model for Dimensional to Non- Dimensional Matter Using Bi-Section Method (Concept of Never-Ending Process). Asian Journal of Pure and Applied Mathematics, 2(1), 149–158. Retrieved from


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Catherine B, Grosvenor I. The School I’d like; Revised: Children and young people’s reflection on an education for 21st Century. London and New York Routledge; 2005.

Hans F. Revisiting mathematics education. Dordrecht, Boston and London: Kluwer Academic Publishers; 2002.

Ruth W. Nature and young children: Encouraging creative play and learning in natural environments. London and New York: Routledge; 2012.

Abu NA, et al. Mathematical animation: The art of teaching. 31st ASEE/ IEEE Frontiers in Education Conference; 2001.

Neumbaier A. Mathematical model building. Applied Optimization. Kluwer, Boston. 2004;88.

Badler NI. Positioning and animating human in a task oriented environment. The Visual Computer. 1985;212-220.

Chieu VM, Herbst P, Weiss M. Effect of an animated class room story embedded in online discussion on helping mathematics teacher learn to notice. Journal of Learning Science. 2011;20(4):589- 624.

Rohendi D, et al. Multimedia animation for mathematical application in engineering. Journal of Physics: Conference Series. 2019;1402(7).

Hourigan T, Murray L. Using blogs to help language students to develop reflexive learning strategies: Towards a pedagogical frame work. Australas J. Edu. Techno. 2010;26(2):209-225.

Andy B. 3D animation essentials. Indian Apolis, Indiana: John Wiley and Sons; 2012. ISBN: 978-1-118-14748-1.

Steketee SN, Badler NI. Parametric keyframes interpolation, incorporating kinetic adjustment and phrasing control computer graphics and applications (Proceeding SIG Graph85). 1985;225-262.