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2015 | 128 | 2B | B-100-B-102
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Digital Fabrication of Mathematical Models via Low-Cost 3D FDM Desktop Printer

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Additive manufacturing technology is developed throughout the 1980's and 1990's. This technology makes the realization of mathematical models much easier. The challenge focused is here to fabricate real objects from very complex mathematical models by using a low-cost 3D fused deposition modeling desktop printer. Thus this brings the intangible mathematical expressions to life. In this study it is illustrated that complex mathematical expressions are not only numbers and symbols but also they are real life objects. In the examples, some mathematical functions such as Möbius strip, Schwartz functions and their boundary conditions are introduced and then digitally fabricated. This work shows that how complex functional mathematical models that cannot be manufactured with classical engineering methods or very difficult to produce can be fabricated by using a 3D FDM desktop printer.
  • Balıkesir University, Mechanical Engineering Department, Balıkesir, Turkey
  • [1] C.W. Hull, U.S. Patent 4575330 (publication date: 3.11.1986)
  • [2] C.K. Chua, K.F. Leong, C.S. Lim, Rapid Prototyping: Principles and Applications, 2nd ed., World Sci., Singapore 2003, p. 1
  • [3] K.G. Cooper, Rapid Prototyping Technology, Selection and Application, Marcel Dekker, New York 2003 (e-book)
  • [4] S. Crawford, How 3-D Printing Works,, 2013
  • [5] I. Gibson, D. Rosen, B. Stucker, Additive Manufacturing Technologies, Rapid Prototyping to Direct Digital Manufacturing, Springer, 2010 (online)
  • [6] O. Knill, E. Slavkovsky, arXiv:1306.5599 [math.HO], 2013
  • [7] V.M. Chapela, M.J. Percino, F.D. Calvo, F. Calvo, L. Trinidad, in: Proc. World Congress on Engineering, WCE 2013, London (UK), Vol. I, 2013
  • [8] H. Segerman, The Math. Intelligencer 34, 56 (2012), doi: 10.1007/s00283-012-9319-7
  • [9] S.S. Crump, U.S. Patent 5121329, 'Apparatus and method for creating three-dimensional objects' U.S. Class: 364/468, ASSIGNEES: Stratasys, Inc., Minneapolis, MN (field: Oct. 30, 1989 - date of patent: Jun. 9, 1992)
  • [10] Y. Gür, Mol. Cellul. Biomech. 11, 249 (2014), doi: 10.3970/mcb.2014.011.249
  • [11] A. Taha, K3DSurf Software Package, (30.09.2014)
  • [12] MakerBot^® MakerWare™ 3-D Printing Software, accessed 30.09.2014, retrieved from
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