"Extending Galton's Binomial Quincunx to the Trinomial Septcunx", Jennifer Harlow, Bry Ashman and Raazesh Sainudiin, UCDMS Research Report 2009/6, May 4, 2009 Laboratory for Mathematical Statistical Experiments and Department of Mathematics and Statistics University of Canterbury Private Bag 4800 Christchurch, New Zealand This work is licensed under the Creative Commons Attribution-Noncommercial- Share Alike 3.0 New Zealand Licence. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/nz/. Abstract: This paper discusses the development of graphical user interfaces (GUIs) to illustrate sampling from a trinomial distribution by the natural extension of Galton's Quincunx to three dimensions. Keywords: Multinomial distribution, GUI, vector addition, Galton's binomial Quincunx and the trinomial Septcunx. How to run the GUI: The additional files that are needed for the GUI are included in this directory. The Matlab M-files need to be in the current working directory. Then simply call guiMultinomial from the Matlab Command Window. Contents of the directory: AddOutcomes.m PdfMultOutcomes.m createDeMoivreSampler.m MultinomialOutcomes.m README.txt guiMultinomial.fig MultinomialPdf.m createData.m guiMultinomial.m Number of lines of code: 42 AddOutcomes.m 17 MultinomialOutcomes.m 8 MultinomialPdf.m 15 PdfMultOutcomes.m 37 createData.m 36 createDeMoivreSampler.m 779 guiMultinomial.m 934 total