Speaker: **Fran Aragon**, CARMA, The University of Newcastle

Co-authors: **David Bailey, Jon Borwein and Peter Borwein.**

Title: **Walking on real numbers**

Abstract: Motivated by the desire to visualise large mathematical data sets, especially in
number theory, we offer various tools for representing floating point numbers as planar
walks and for quantitatively measuring their "randomness". What to expect: some
interesting ideas, many beautiful pictures (including a 108-gigapixel picture of pi), and
some easy-to-understand maths. What you won't get: too many equations, difficult proofs,
or any "real walking".

Speaker: **Michael Barnsley**, Australian National University

Title: **Maths Visualization & mdash; Historical Theoretical and Practical Perspectives**

Abstract: I will trace some key events (theorem moments and realizations about images) that
have happened to me during the last thirty-plus years, that inform my current research and
view of the future of computergraphical mathematics.

Speaker: **Jon Borwein**, CARMA, The University of Newcastle

Title: **Seeing things in Mathematics**

Abstract: "It is not knowledge, but the act of learning, not possession but the act of
getting there, which grants the greatest enjoyment}. When I have clarified and exhausted a
subject, then I turn away from it, in order to go into darkness again;" (Carl Friedrich
Gauss, 1777-1855)

I display roughly a dozen examples where computational experimentation, computer algebra and
special function theory have led to pleasing or surprising results. In the style of
Ramanujan, very few proofs are given but may be found in the references.

Much of this work requires extensive symbolic, numeric and graphic computation. It makes
frequent use of the new NIST Handbook of Mathematical Functions and related tools such as
gfun.

My intention is to show off the interplay between symbolic, numeric and especially graphic
computing while exploring the various topics in my title.

Speaker: **William Cummins**, Wallaby Fabrications Pty Ltd

Title: **Geometric Sculptures**

Bio: **http://www.spreaders.com.au/index_files/Page334.htm**

Sculpture images: **http://www.spreaders.com.au/index_files/Page759.htm**

Speaker: **Peter Eades**, University of Sydney

Title: **How to draw a graph, revisited**

Abstract: W. T. Tutte published a paper in 1963 entitled "How to Draw a Graph". Tutte's
motivation was mathematical, and his paper can be seen as a contribution to the long
tradition of geometric representations of combinatorial objects. Over the following 50
years, the motivation for creating visual representations of graphs has changed from
mathematical curiosity to Visual Analytics. Current demand for Graph Drawing methods is now
high, because of the potential for more human- comprehensible visual forms in industries as
diverse as Biotechnology, Homeland Security, and Sensor Networks. Many new methods have been
proposed, tested, implemented, and found their way into commercial tools. This paper
describes two strands of this history: the force directed approach, and the planarity
approach. Both approaches originate in Tutte's paper.

Speaker: **Attila Egri-Nagy**, University of Western Sydney

Title: **Viz package for the GAP computer algebra system**

Abstract: In computer algebra we only have a limited set of tools available for
visualization. On the level of active research there are basically no ready-made solutions
available. That is why in semigroup theory we had to unite our forces and start developing a
new visualization package specialized for discrete mathematical structures. In this talk we
summarize the design principles (instant visualization and publication quality figures) and
some of the implementation techniques of the Viz package.

Speaker: **Bishnu Lamichhane**, CARMA, The University of Newcastle

Title: **Visualizing solutions of partial differential equations**

Duration: **15 minutes**

Abstract: We consider visualization of solutions of partial differential equations, where
the solutions are computed by using some numerical techniques. Problems from heat
conduction, elasticity and image processing are considered.

Speaker: **John Maindonald**, Australian National University

Title: **The R system - a broad umbrella for visualisation**

Abstract: The R system provides a coherent interface to what is now a huge range of
scientific computing abilities. A ready ability to build on what is already in place has
been a major reason why it has proved attractive as a development environment, now with over
4000 packages. It has particularly strong graphical abilities. This talk will focus on
displays that seem particularly striking, including interfaces to Google motion charts, to
Google Maps and to Google Earth.

Speaker: **Sean O'Donoghue**, CSIRO and Garvan Institute for Medical Research

Title: **Visualizing Biological Data for Research and for Outreach**

Abstract: Experimental methods in biological research are delivering data of rapidly
increasing volume and complexity. However, many current methods and tools used to visualize
and analyse these data are inadequate, and urgent improvements are needed if life scientists
are to gain insight from this data deluge, rather than being overwhelmed. I will discuss a
recent switch in focus away from algorithmic bioinformatics towards data visualization and
usability principles, illustrating how such a focus can have significant impact. I will also
discuss a recent, international community initiative I'm leading that brings visualization
experts together with computational biologists, bioinformatics, graphic designers,
animators, and medical illustrators, and aims to raise the global standard of bioinformatics
software (http://vizbi.org/). Finally, I'll present an upcoming project designed to inspire
the Australian public to engage with biomedical research
(http://csironewsblog.com/2012/06/13/science-animations-take-us-on-fantastic-voyages/).

Speaker: **Judy-anne Osborn**, CARMA, The University of Newcastle

Coauthor: **Nathan Clisby**

Title: **Visualizing maximal determinant matrices**

Abstract: Inspired by the famous Folding@home project
(http://folding.stanford.edu/English/HomePage) which turned a scientific problem of
protein-folding into a publicly accessible visual game which allowed amateurs and scientists
to collaborate on solving a real scientific problem, we are working on turning a
mathematical back-tracking problem into its own kind of visual game which could eventually
be made accessible to the public on the web. The mathematical problem is that of finding
maximal determinant binary matrices. These matrices are themselves useful in all kinds of
contexts from statistical design theory to coding theory. Our implementation, still in its
infancy, has the potential to be applied more broadly to other back-tracking problems. Our
hope is that in making the mathematical problem into a visual one, we can develop heuristics
to help understand problems which computers alone cannot solve; and share around some fun
while doing it, too!

Speaker: **Konrad Polthier**, Freie Universität Berlin

Title: **Making of "A Mathematical Picturebook"**

Bio: See **http://www.polthier.info/**

Abstract: The demand for pictures in mathematical publications and
courses is increasing, e.g. due to the enormous development of new
communication devices and due to the increasing number of interested
non-specialists. Nevertheless the ability to produce adequate
state-of-the-art imagery is not widely available, especially not in the
community of productive mathematicians.

The talk will show various visualization activities in many
areas of mathematics, it will introduce several effective visualization
tools, and demonstrate the effectiveness of novel visualization
algorithms at the interface of pure mathematics and industrial
applications.

Speaker: **Malcolm Roberts**, CARMA, The University of Newcastle

Title: **Visualisation and My Thoughts for Its Use in Education**

Abstract: As part of the "laptops in schools" program the open source dynamic geometry
package GeoGebra was loaded onto all machines handed out. In this talk I will give a brief
overview of my observations of the impact that this decision has had on the use of
visualisation in our classrooms.

Speaker: **Henry Segerman**, University of Melbourne

Title: **Using Mathematica and Rhinoceros to produce 3D printed mathematical models**

Abstract: This workshop will be a hands-on introduction to producing physical 3D printed
mathematical models using computer software. 3D printing is rapidly becoming a very
affordable way to produce physical objects, for use in outreach, teaching or research. In
addition to being excellent visualisation aids, physical objects go further, allowing for a
tactile understanding. Depending on the interests of the participants, we will use
Mathematica, the 3D design program "Rhinoceros", and/or the Python scripting interface to
Rhinoceros to produce 3D files ready to be sent to a 3D printer. The workshop will be based
in part on this article: http://www.ms.unimelb.edu.au/~segerman/papers/3d_printed_visualisation.pdf

Speaker: **Tobias Sargeant**, The Walter and Eliza Hall Institute of Medical Research, Melbourne, VIC, Australia

Title: **Visualising Patterns of Correlated Gene Expression in Blood Transcriptomes**

Affilation: **The Walter and Eliza Hall Institute of Medical Research, Melbourne, VIC, Australia**

Abstract: We have applied minimum spanning trees to the problem of clustering and
visualising gene and cell co-expression data. Cell types clustered in this manner more
directly mirror biological knowledge regarding ordering of differentiation than do other
clustering methods, correctly reconstructing the maturation steps of a number of lineages.
Networks of genes constructed using minimum spanning trees have proven useful as a
representational tool on top of which we have overlaid ontology, drug target and phenotypic
information, as well as experimental data from mutant-vs-wildtype expression studies.
Further, we have observed that the minimum spanning tree represents a generalization of
fixed-threshold correlation-based gene expression clustering. We have made use of this
observation to visualize the hierarchy of networks defined by correlation of gene expression
over the full range of possible thresholds. It is clear from this visualization that a one
size fits all approach to selection of a correlation threshold is impractical both at a
dataset level and at an expression sub-network level. In contrast, our method determines
thresholds adaptively and automatically, generating biologically meaningful networks of
genes. The tools we have developed for exploring patterns correlated gene expression have
provided us with new insights into the biology of gene expression in normal hematopoiesis
and in acute myeloid leukemia, and we feel that their utility will continue to increase as
RNA-Seq supplants microarrays as the technology of choice for the generation of large
transcriptomic datasets.

Speakers: **Richard Vella and Jon Drummond**, The University of Newcastle

Title: **Modeling, Creativity, Music and Mathematics**

Abstract: In this talk we will refer to some intersections between mathematics and music.
We will use these intersections as points of departure to discuss creativity models and
their role in research practice. We begin with a discussion on the similarities between
mathematics and music with respect to visualisation and other representations of data
through sonification and spatialisation. In unpacking these data representations the
presentation concludes with a discussion on symbolic representation, plausibility and
schemas within disciplinary and interdisciplinary context.