TY - JOUR TT - Digital fabrication of a real object from a mathematical model by using 3D desktop printer AU - Gür, Yılmaz PY - 2017 DA - October DO - 10.25092/baunfbed.342365 JF - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi JO - BAUN Fen. Bil. Enst. Dergisi PB - Balıkesir University WT - DergiPark SN - 1301-7985 SP - 237 EP - 245 VL - 19 IS - 2 KW - 3 boyutlu yazıcı KW - matematiksel modelleme KW - katmanlı üretim N2 - 3-D printing technology is becoming widely available and can help toproduce tangible solid physical objects from mathematical models much easierthan ever before. The aim of this paper is to construct mathematical modelsfrom mathematical equations and to fabricate real solid objects digitally frommathematical models by using a 3-D Fused Deposition Modelling (FDM) printer. Formation of 3D mathematical models using mathematical equations wasperformed using K3DSurf software. The data for the x, y, z coordinates thatform the 3-D mathematical model are then converted to the ".obj" fileformat, which is the format recognized by the 3-dimensional FDM printer thatwill realize the fabrication. Using MakerBot®'s slicing software MakerWare ™,the model to be fabricated is sliced into layers of desired thickness,movements of the printing head along the x-y axis are calculated, and this datais transferred to a secure digital (SD) card in “.gcode” format. As a casestudy, a 3D mathematical model was obtained by assigning values to the Diamandequation between the boundary conditions, and it is digitally fabricated byusing a FlashForge Creator desktop FDM 3D printer. CR - Hull, C.W., Apparatus for production of three-dimensional objects by stereolithography. U.S.Patent 4,575,330 (Publication Date: 3/11/1986; Filing Date 8/8/1984). http://www.google.com/patents/US4575330. (10.06.2014). CR - Lim, C.S., Chua, C.K. ve Leong, K.F., Rapid prototyping, World Scientific, Second edition, (2003). CR - Cooper, K.G., Rapid prototyping pechnology, selection and application, Marcel Dekker Inc., (2001), CR - Crawford, S., How 3-D Printing Works, http://computer. howstuffworks.com/3-d-printing1.htm, (2013). CR - Rosen, D., Gibson, I. ve Stucker, B., Additive manufacturing technologies, Springer, (2010). CR - Knill, O. ve Slavkovsky, E., Illustrating Mathematics using 3D Printers, Cornel University Library, arXiv:1306.5599 [math.HO], (2013). CR - Rosen, D.E., MakerBot industries to print anything and everything at one metro tech. retrieved from commercial observer, http://commercialobserver.com/2012/05/makerbot-industries-to-print-anything-and-everything-at-one-metrotech/, (2014), (05.09.2014). CR - Rowan, D., 3D printing – An “Industrial Revolution in the Digital Age”? Retrieved from WIRED Business Future Shock http://www.wired.com/2011/05/3d-printing-an-industrial-revolution-in-the-digital-age/, (2011), (05.09.2011). CR - Berman B., 3-D printing: The new industrial revolution. Business Horizons, 55, 2, 155-162, (2012), DOI:10.1016/j.bushor.2011.11.003. CR - Segerman, H. 3D Printing for Mathematical Visualisation, The Mathematical Intelligencer, 34, 4, 56-62, (2012), DOI:10.1007/s00283-012-9319-7. CR - Chapela, V. M., Percino, M. J., Calvo, F. D., Calvo, F. ve Trinidad, L., Manufacture of 3D Möbius-Listing Models with a 3D Printer, Proceedings of the World Congress on Engineering Vol I, WCE 2013, July 3-5, London, U.K. (2013). CR - Slavkovsky, E.A., Feasibility study for teaching geometry and other topics using three-dimensional printers. M.L.A Thesis. Harvard University, (2012). CR - Gür, Y., Additive manufacturing of anatomical models from computed tomography scan data, MCB: Molecular & Cellular Biomechanics, 11, 4, 249-258, (2014), DOI:10.3970/mcb.2014.011.249. CR - Marcincin, J.N., Marcincinova,L.N., Barna,J. ve Janak,M., Application of FDM rapid prototyping technology in experimental gearbox development process, Tehnički Vjesnik-Technical Gazette, 19, 3, 689-694, (2012). CR - Taha, A., K3DSurf software package. URL:http://k3dsurf.sourceforge.net/. (04.01.2015). CR - Schoen, A.H., Infinite periodic minimal surfaces without self-intersections, NASA Technical Note TN D-5541, (1970). CR - Weber, M., Hoffmann, D. ve Hoffman J.T., Triply periodic level surfaces, http://www.msri.org/publications/sgp/jim/geom/level/library/triper/indexd.html (11.06.2017) CR - Knapp, M.E., Wolff, R. ve Lipson, H., Developing printable content: A repository for printable teaching models, Retrieved from http://utwired.engr.utexas.edu/lff/symposium/proceedingsArchive/ pubs/Manuscripts/2008/2008-52-Knapp.pdf, (2008). CR - MakerBot® MakerWare™ 3-D printing software, Retrieved from http://www.makerbot.com/support/makerware/ documentation/slicer/, (2014), (Retrieved 04.01.2015). UR - https://doi.org/10.25092/baunfbed.342365 L1 - https://dergipark.org.tr/en/download/article-file/348182 ER -