Aperiodic Order Research Group

Uwe Grimm has been active in this research area since he joined the Open University in December 2000. Supported by a research grant from the Engineering and Physical Sciences Research Council, a group of post-doctoral researchers, research students and visitors joined from October 2006.

From September 2007 until March 2008, Uwe Grimm spent six months as a Visiting Research Associate at the University of Tasmania in Hobart. In 2009/2010, Michael Baake will spend several months in the group as a Leverhulme Visiting Professor.

At the 10th International Conference on Aperiodic Crystals ICQ10 in Zürich 2008, the group contributed two talks (SG,UG) and two posters (MH,CH). Manuela Heuer's and Svenja Glied's participation were supported by IUCr Young Scientists awards, and Manuela Heuer won a prize for best student presentation for her poster Similar sublattices and coincidence rotations of the root lattice A4 and its dual.

The year 2009 turned out to be a busy year, with Uwe Grimm co-organising the exhibit How do shapes fill space? at the Royal Society Summer Science Exhibition 2009 as well as the 6th International Conference on Aperiodic Crystals Aperiodic'09 in Liverpool and a satellite workshop in Leicester, and presenting invited talks at meetings in Austria and France in July and October.

Group photo at ICQ10
Group photo at Aperiodic'09

Aperiodic'09 was the first major conference on aperiodic order in the UK and attracted about 110 participants from a range of disciplines including mathematics, physics, crystallography and materials science. The remit of the conference covers two broad areas of research, incommensurately modulated and composite crystals on the one hand, and quasicrystals on the other hand, sharing the property that they are aperiodically ordered solids.

A related EPSRC-supported workshop on Mathematical Aspects of Aperiodic Order was held in Leicester in the week preceding the conference, and attracted about 40 participants.

Highlights of the conference included a public lecture "Simple sets of shapes that tile the plane but cannot ever repeat" by Roger Penrose and a visit by Alan L. Mackay, bringing together two distinguished UK scientists who made seminal contributions to the subject.

IUCr Congress Madrid 2011

Two trips to Japan (ICQ11 Sapporo and RIMS workshop, Kyoto) and Korea (KIAS workshop) were highlights in 2010. The visit to Korea was supported by a Royal Society International Travel Grant. Uwe's talk Some comments on a hexagonal monotile at the Korea Institute of Advanced Study was videotaped; the recording can be viewed here.

The year 2011 started with an Oberwolfach workshop in January. With Marjorie Senechal, Uwe co-chaired a microsymposium What is order, and how can one describe it (What kinds of matter diffract?) at the International Congress of Crystallography in Madrid in August. At the congress, Uwe was elected to the Commission on Aperiodic Crystals of the International Union of Crystallography. In September and October, invitations to workshops at BIRS in Banff and at the Fields Institute in Toronto meant two visits to Canada.

IUCr Congress Madrid 2011

Activities in 2012 included presenting a talk at the workshop Periodic orbits in dynamical systems at the Erwin Schrödinger International Institute for Mathematical Physics in Vienna in May, organising a session on Geometric complexity in aperiodic order at Mathematics of Distances and Applications in Varna in July and — last but not least — the 7th International Conference on Aperiodic Crystals Aperiodic 2012 in Cairns in September.

SIAM Conference 2013, Phildelphia

In 2013 Uwe presented a talk at the workshop SubTile 2013 at the CIRM in January, an invited topical talk at the German Physical Society (DPG) Spring Meeting in Regensburg in March and an invited talk at the SIAM Conference on Mathematical Aspects of Materials Science in Philadelphia in June. At the 12th International Conference on Quasicrystals ICQ12 in Kraków in September, Uwe will gave an invited tutorial. Also, with Michael Baake he finally completed the first volume of their book series on Aperiodic Order, which was available from late August.

Aperiodic Order. Volume 1:
A Mathematical Invitation
MFO 2014

In 2014, Uwe presented a couple of invited talks at the AMS Spring Eastern Sectional Meeting at the University of Maryland Baltimore County. In August, he presented an invited talk at the 23rd Congress and General Assembly of the International Union of Crystallography in Montréal. Another highlight occurred at the end of the year, with the Mini-Workshop Dynamical versus Diffraction Spectra in the Theory of Quasicrystals at the Mathematisches Forschungsinstitut Oberwolfach, which was co-organised by Uwe. He is also editing the report, which is going to appear in the Oberwolfach report series.

Members

Current Members

Lax Chan
Uwe Grimm

Former Members

Edmund Harriss (May – August 2009) — now at University of Arkansas, USA
Manuela Heuer (2006 – 2010) — now at Allianz AG, Germany
Christian Huck (May 2007 – January 2009) — now at University of Bielefeld, Germany
Bernd Sing (January – September 2007) — now at UWI, Cave Hill, Barbados

Current & Forthcoming Visitors

Previous Visitors

César R. de Oliveira (July 2011)
Elena Y. Vedmedenko (March 2011)
Stefanie Thiem (September – December 2009)
Michael Baake (Leverhulme Visiting Professor, April – September 2009, April 2010, September 2010)
Xinghua Deng (February – July 2009)
Svenja Glied (May 2007 – April 2009)

Funding

International Travel Grant
Royal Society, £ 880, 24 September – 2 October 2010
How do Shapes Fill Space?
EPSRC Partnerships for Public Engagement Grant EP/H004866/1, £ 20,043, May – November 2009
Combinatorics of Sequences and Tilings and its Applications
EPSRC Grant EP/D058465/1, £ 215,124, 1 October 2006 – 31 December 2009
Visiting Professorship Michael Baake
Leverhulme Trust, £ 25,340, starting 1 July 2008
IUCr Awards for young scientists
supporting the participation of Manuela Heuer and Svenja Glied at the 10th International Conference on Quasicrystals ICQ10 in Zürich, July 2008

Collaborations

Michael Baake (Bielefeld)
Natalie Priebe Frank (Vassar)
Dirk Frettlöh (Bielefeld)
Franz Gähler (Bielefeld)
Christian Huck (Bielefeld)
Peter Kramer (Tübingen)
Robert V Moody (Victoria)
Christoph Richard (Erlangen)
E. Arthur (Robbie) Robinson, Jr. (Washington)
Michael Schreiber (Chemnitz)
Stefanie Thiem (Chemnitz)
Elena Vedmedenko (Hamburg)
Richard Welberry (Canberra)
Peter Zeiner (Bielefeld)

Recent & Forthcoming Events

Aperiodic 2015
30 August – 4 September 2015, Břevnov Monestary, Prague, Czech Republic (UG member of program committee)
Workshop on Spectral Theory of Aperiodic Systems
21 – 27 June 2015, Heinrich-Fabri-Institut, Blaubeuren, Germany (co-organised by UG)
Open Statistical Physics 2015
25 March 2015, Open University, Milton Keynes (co-chaired by UG)
Mini-Workshop Dynamical versus Diffraction Spectra in the Theory of Quasicrystals
30 November – 6 December 2014, Mathematisches Forschungsinstitut Oberwolfach, Germany (co-organised by UG)
Open Statistical Physics 2014
26 March 2014, Open University, Milton Keynes (co-chaired by UG)
12th International Conference on Quasicrystals ICQ12
1 – 6 September 2013, Kraków, Poland
Open Statistical Physics 2013
27 March 2013, Open University, Milton Keynes (co-chaired by UG)
Aperiodic 2012
2 – 7 September 2012, Cairns, Australia
Almost periodic order: spectral, dynamical, and stochastic approaches
Open Statistical Physics 2012
7 March 2012, Open University, Milton Keynes (co-chaired by UG)
25 – 30 September 2011, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada
XXII Congress and General Assembly of the International Union of Crystallography (IUCr)
22 – 30 August 2011, Madrid, Spain
Open Statistical Physics 2011
2 March 2011, Open University, Milton Keynes (co-chaired by UG)
Mini-Workshop: Dynamics of Trace Maps and Applications to Spectral Theory
16 – 22 January 2011, Mathematisches Forschungsinstitut Oberwolfach, Germany
The Mathematics of Aperiodic Order
27 September – 1 October 2010, KIAS, Seoul, Korea
Group28: XXVIII International Colloquium on Group-Theoretical Methods in Physics
26 – 30 July 2010, Northumbria University, Newcastle
Mathematics of quasi-periodic order
21 – 23 Juni 2010, Kyoto, Japan
11th International Conference on Quasicrystals ICQ11
13 – 18 June 2010, Sapporo, Japan
Open Statistical Physics 2010
10 March 2010, Open University, Milton Keynes (co-chaired by UG)
International Conference on Aperiodic Crystals APERIODIC'09
13 – 18 September 2009, Liverpool (co-chaired by UG)
Workshop on Dynamics, Physics and Topology in Aperiodic Order
7 – 11 September 2009, Leicester (co-chaired by UG)
Workshop on Fractals and Tilings 2009
6 – 10 July 2009, Strobl, Austria
Exhibit How do Shapes Fill Space? at the Royal Society Summer Science Exhibition 2009
30 June – 4 July 2009, London (exhibit co-chaired by UG)
Symposium Combinatorial, Dynamical and Harmonic Aspects of Aperiodic Order
9 June 2009, Open University
Sommerakademie der Studienstiftung des deutschen Volkes
7 – 20 September 2008, Olang (Valdoara) (co-chaired by UG)
Workshop on Combinatorial and Computational Aspects of Tilings
30 July – 8 August 2008, Imperial College, London
19th Postgraduate Combinatorial Conference PCC2008
21 – 23 July 2008, University of Warwick (co-organised by MH)
10th International Conference on Quasicrystals ICQ10
6 – 11 July 1008, Zürich, Switzerland
Aspects of Aperiodic Order
3 – 5 July 2008, Bielefeld, Germany
Quasicrystals: The Silver Jubilee
14 – 19 October 2007, Tel Aviv, Isreal (UG member of program committee)

Research Output

Preprints

Weighted model sets and their higher point-correlations
Xinghua Deng, Robert V. Moody
preprint arXiv:0904.4552 (math-ph)
Quasicrystals
Uwe Grimm, Peter Kramer
to appear in Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, ed. by R. van de Weijgaert, G. Vegter, J. Ritzerveld, V. Icke (Kluwer/Springer)

Publications

Recent progress in mathematical diffraction
Uwe Grimm and Michael Baake
Acta Physica Polonica A 126 (2014) 474-478 [arXiv:1311.4373]
Scaling of the Thue-Morse diffraction measure
Michael Baake, Uwe Grimm and Johan Nilsson
Acta Physica Polonica A 126 (2014) 431-434 [arXiv:1311.4371]
Squirals and beyond: Substitution tilings with singular continuous spectrum
Michael Baake and Uwe Grimm
Ergodic Theory and Dynamical Systems 34 (2014) 1077-1102 [arXiv:1205.1384]
Aperiodic Order. Volume 1: A Mathematical Invitation
Michael Baake and Uwe Grimm
Encyclopedia of Mathematics and its Applications No. 149. Cambridge University Press, Cambridge (available from August)
Squiral diffraction
Uwe Grimm and Michael Baake
in Aperiodic Crystals, edited by Siegbert Schmidt, Ray L. Withers and Ron Lifshitz, Springer, Dordrecht (2013), pp. 11-18 [arXiv:1211.5471]
Examples of substitution systems and their factors
Michael Baake, Franz Gähler and Uwe Grimm
Journal of Integer Sequences 16 (2013) 13.2.14 [arXiv:1211.5466]
Hexagonal inflation tilings and planar monotiles
Michael Baake, Franz Gähler and Uwe Grimm
Symmetry 4 (2012) 581-602 [arXiv:1210.3967]
On the notions of symmetry and aperiodicity for Delone sets
Michael Baake and Uwe Grimm
Symmetry 4 (2012) 566-580 [arXiv:1210.0157]
Mathematical diffraction of aperiodic structures
Michael Baake and Uwe Grimm
Chemical Society Reviews 41 (2012) 6821-6843 [arXiv:1205.3633]
A comment on the relation between diffraction and entropy
Michael Baake and Uwe Grimm
Entropy 14 (2012) 856-864 [arXiv:1205.0392 (math-ph)]
Spectral and topological properties of a family of generalised Thue-Morse sequences
Michael Baake, Franz Gähler and Uwe Grimm
Journal of Mathematical Physics 53 (2012) 032701 [OpenResearchOnline] [arXiv:1201.1423 (math-ph)] (published March 2012)
Electrons in quasicrystals
Uwe Grimm
Isreal Journal of Chemistry 51 (2011) 1257-1262 [OpenResearchOnline]
Kinematic diffraction from a mathematical viewpoint
Michael Baake, Uwe Grimm
Zeitschrift für Kristallographie 226 (2011) 711-725 [OpenResearchOnline] [arXiv:1105.0095 (math-ph)]
Light transmission through metallic-mean quasiperiodic stacks with oblique incidence
Stefanie Thiem, Michael Schreiber,Uwe Grimm
Philosophical Magazine 91 (2011) 2801-2810 [OpenResearchOnline] [arXiv:1010.1396 (physics.optics)]
Diffraction of limit periodic point sets
Michael Baake, Uwe Grimm
Philosophical Magazine 91 (2011) 2661-2670 [arXiv:1007.0707 (math-ph)]
Some comments on pinwheel tilings and their diffraction
Uwe Grimm, Xinghua Deng
Journal of Physics: Conference Series 284 (2011) 012032 [arXiv:1102.1750 (math-ph)]
Mathematical diffraction theory of deterministic and stochastic structures: An informal summary
Michael Baake, Uwe Grimm
in: Mathematics of Quasi-Periodic Order, Shigeki Akiyama (ed), RIMS Kôkyûoku 1725 (2011), pp. 55 – 79
6th International Conference on Aperiodic Crystals (APERIODIC'09)
Uwe Grimm, Rónán McGrath, Olga Degtyareva, Hem Raj Sharma (eds)
Journal of Physics: Conference Series Vol. 226 (IoP Publishing, Bristol, 2010)
Surprises in aperiodic diffraction
Michael Baake, Uwe Grimm
Journal of Physics: Conference Series 226 (2010) 012023 [arXiv:0909.5605 (math-ph)]
Wave packet dynamics, ergodicity and localization in quasiperiodic chains
Stefanie Thiem, Michael Schreiber, Uwe Grimm
Physical Review B 80 (2009) 214203 [arXiv:0912.0705 (cond-mat)] (published December 2009)
Uniqueness in discrete tomography of Delone sets with long-range order
Christian Huck
Discrete and Computational Geometry 42 (2009) 740-758 [arXiv:0711.4525 (math.MG)]] (published December 2009)
On the existence of U-polygons of class c≥4 in planar point sets
Christian Huck
Discrete Mathematics 309 (2009) 4977-4981 [arXiv:0811.3546 (math.MG)] (published August 2009)
A note on coincidence isometries of modules in Euclidean space
Christian Huck
Zeitschrift für Kristallographie 224 (2009) 341-344 [arXiv:0811.3551 (math.MG)] (published July 2009)
Discrete tomography of icosahedral model sets
Christian Huck
Acta Crystallographica A65, 240-248 [OpenResearchOnline] [arXiv:0705.3005 (math.MG)] (published May 2009)
A note on affinely regular polygons
Christian Huck
European Journal of Combinatorics 30 (2009) 387-395 [OpenResearchOnline] [arXiv:0801.3218 (math.MG)] (published February 2009)
Kinematic diffraction is insufficient to distinguish order from disorder
Michael Baake, Uwe Grimm
Physical Review B 79 (2009) 020203(R) (Rapid Communication) [OpenResearchOnline] [arXiv:0810.5750 (math-ph)] (published January 2009)
Physical Review B 80 (2009) 029903(E) (Erratum)
Similar sublattices and coincidence rotations of the root lattice A4 and its dual
Manuela Heuer
Zeitschrift für Kristallographie 223 (2008) 817-821 [arXiv:0808.1228 (math.MG)] (published December 2008)
Homometric point sets and inverse problems
Uwe Grimm, Michael Baake
Zeitschrift für Kristallographie 223 (2008) 777-781 [OpenResearchOnline] [arXiv:0808.0094 (math.MG)] (published December 2008)
Similarity versus coincidence rotations of lattices
Svenja Glied, Michael Baake
Zeitschrift für Kristallographie 223 (2008) 770-772 [OpenResearchOnline] [arXiv:0808.0109 (math.MG)] (published December 2008)
Discrete tomography of F-type icosahedral model sets
Christian Huck
Zeitschrift für Kristallographie 223 (2008) 757-760 [OpenResearchOnline] [arXiv:0810.0407 (math-ph)] (published December 2008)
On the entropy and letter frequencies of powerfree words
Uwe Grimm, Manuela Heuer
Entropy 10 (2008) 590-612 [OpenResearchOnline] [arXiv:0811.2119 (math.CO)] (published November 2008)
Coincidence rotations of the root lattice A4
Michael Baake, Uwe Grimm, Manuela Heuer, Peter Zeiner
European Journal of Combinatorics 29 (2008) 1808-1819 [OpenResearchOnline] [arXiv:0709.1341 (math.MG)] (published November 2008)
The singular continuous diffraction measure of the Thue-Morse chain
Michael Baake, Uwe Grimm
Journal of Physics A: Mathematical and Theoretical 41 (2008) 422001 (Fast Track Communication)) [OpenResearchOnline] [arXiv:0809.0580 (math.DS)] (published October 2008)
Similar sublattices of the root lattice A4
Michael Baake, Manuela Heuer, Robert V Moody
Journal of Algebra 320 (2008) 1391-1408 [arXiv:math/0702448] (published August 2008)
Deformed Penrose tilings
T. R. Welberry, B. Sing
Philosophical Magazine 87 (2007) 2877-2886 [OpenResearchOnline] (published July 2007)
Discrete tomography of Penrose model sets
M. Baake, C. Huck
Philosophical Magazine 87 (2007) 2839-2846 [OpenResearchOnline] [arXiv:math-ph/0610056] (published July 2007)
Pinwheel patterns and powder diffraction
Michael Baake, Dirk Frettlöh, Uwe Grimm
Philosophical Magazine 87 (2007) 2831-2838 [OpenResearchOnline] [arXiv:math-ph/0610012] (published July 2007)
A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns
Michael Baake, Dirk Frettlöh, Uwe Grimm
Journal of Geometry and Physics 57 (2007) 1331-1343 [OpenResearchOnline] [math.SP/0610408] (published April 2007)
Computing modular coincidences for substitution tilings and point sets
Dirk Frettlöh, Bernd Sing
Discrete and Computational Geometry 37 (2007) 381-407 [OpenResearchOnline] [math.MG/0601067] (published March 2007)
Homometric model sets and window covariograms
Michael Baake, Uwe Grimm
Zeitschrift für Kristallographie 222 (2007) 54-58 [OpenResearchOnline] [math.MG/0610411] (published February 2007)

Conference Participation & Presentations

Binary bijective block substitutions in d dimensions (invited talk,UG)
Mini-Workshop Dynamical versus Diffraction Spectra in the Theory of Quasicrystals, Mathematisches Forschungsinstitut Oberwolfach, Germany (30 November – 6 December 2014)
Aperiodic crystals and beyond (invited talk, UG)
23rd Congress and General Assembly of the International Union of Crystallography, Montréal, Canada (5 – 12 August 2014)
Squirals and lattice substitutions with singular continuous spectrum (invited talk, UG)
Aperiodic hexagon tilings and some of their relations (invited talk, UG)
AMS Spring Eastern Sectional Meeting, University of Maryland, Baltimore County, Baltimore, USA (29 – 30 March 2014)
Recent progress in mathematical diffraction (invited tutorial talk, UG)
12th International Conference on Quasicrystals ICQ12, Kraków, Poland (1 – 6 September 2013)
Recent advances in mathematical diffraction theory (invited talk, UG)
SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, USA (9 – 12 June 2013)
Diffraction of the squiral tiling (invited talk, UG)
Mini-Symposium "Dynamical Systems", Bielefeld, Germany (25 April 2013)
Recent advances in mathematical diffraction theory (invited topical talk, UG)
German Physical Society (DPG) Spring Meeting, Regensburg, Germany (10 – 15 March 2013)
The squiral tiling and its diffraction (talk, UG)
SubTile 2013, CIRM, Marseille, France (14 – 18 January 2013)
Squirals and their diffraction (talk, UG)
Aperiodic 2012, Cairns, Australia (2 – 7 September 2012)
Squiral diffraction (invited talk, UG)
Periodic orbits in dynamical systems, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria (21 – 25 May 2012)
Aperiodic tilings: Notions and properties II (invited talk, UG)
Workshop on Rigidity and Symmetry, Fields Institute, Toronto, Canada (17 – 21 October 2011)
Generalised Thue-Morse sequences: Spectral aspects (invited talk, UG)
Almost periodic order: spectral, dynamical, and stochastic approaches, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada (25 – 30 September 2011)
Trace maps, invariants and applications (invited talk, UG)
A hexagonal monotile for the Euclidean plane (invited talk, UG)
Dynamics of Trace Maps and Applications to Spectral Theory, Mathematisches Forschungsinstitut Oberwolfach, Germany (16 – 22 January 2011)
Some comments on a hexagonal monotile (invited talk, UG)
The Mathematics of Aperiodic Order, KIAS, Seoul, Korea (27 September – 1 October 2010)
On the diffraction of the pinwheel tiling (invited talk, UG)
The XXVIII International Colloquium on Group-Theoretical Methods in Physics GROUP28, Newcastle upon Tyne (26 – 30 July 2010)
Diffraction theory of deterministic and stochastic structures (Part I) (invited talk, UG)
Mathematics of quasi-periodic order, Kyoto, Japan (21 – 23 June 2010)
Diffraction of limit periodic point sets (poster, UG)
11th International Conference on Quasicrystals ICQ11, Sapporo, Japan (13 – 18 June 2010)
Entropy and letter frequencies of power-free words (invited talk, UG)
Workshop on Dynamical Systems and Symbolic Dynamics, Bielefeld, Germany (17 – 19 May 2010)
Mathematical diffraction theory, homometry and the inverse problem (invited keynote lecture, UG)
1st International Conference on Complex Metallic Alloys and their Complexity C-MAC 1, Nancy, France (4 – 7 October 2009)
Systems with continuous diffraction (invited talk, UG)
Workshop on Fractals and Tilings 2009, Strobl, Austria (6 – 10 July 2009)
Can kinematic diffraction distinguish order from disorder? (contributed talk MM 40.2)
DPG Frühjahrstagung Dresden 09, Dresden, Germany (23 – 27 March 2009)
Aperiodicity and Order (invited talk, UG)
Quantization Day 2, Masarykova Kolej, Prague, Czech Republic (24 March 2009)
Pinwheel patterns and powder diffraction (invited talk, UG)
Workshop on Combinatorial and Computational Aspects of Tilings, Imperial College, London (30 July – 8 August 2008)
On the entropy and letter frequencies of powerfree words (talk, MH)
19th Postgraduate Combinatorial Conference PCC2008, University of Warwick (21 – 23 July 2008)
Discrete tomography of F-type icosahedral model sets (poster, CH)
Similar sublattices and coincidence rotations of the root lattice A4 and its dual (poster, MH)
Similarity versus coincidence isometries (contribute talk, SG)
Homometric point sets and inverse problems (contributed talk, UG)
10th International Conference on Quasicrystals ICQ10, Zürich, Switzerland (6 – 11 July 2008)
Similar sublattices and coincidence rotations of the root lattice A4 and its dual (poster, MH)
Pinwheel patterns and powder diffraction (poster, UG)
Aspects of Aperiodic Order, Bielefeld, Germany (3 – 5 July 2008)
Entropy and letter frequencies of square-free words (invited talk,UG)
Concepts of Entropy & Their Applications: Entropy methods in dynamical systems (4 – 5 December 2007); Entropy methods in information theory and applications (6 December 2007), Melbourne, Australia
Geometry of Pisot Substitution (invited talk, BS)
Ordre Apériodique: nouveaux liens et anciens problèmes revisités, CIRM, France, 10 – 14 September 2007
On the shell structure of (quasi-)crystals (invited talk, UG)
10th International Conference on Discrete Mathematics: Convexity and Graph Theory, Special Session on Geometry of Numbers, Dortmund, Germany, 14 – 18 July 2007
Visible Ammann-Beenker points (contributed talk, BS)
21st British Combinatorial Conference, Reading, 8 – 13 July 2007
Non-unimodular Pisot Substitutions (invited talk, BS)
Generalized substitutions, tilings and numeration, Ile de Porquerolles, France, 11 – 13 June 2007
Combinatorial properties of the root lattice A4 (contributed talk, MH)
Postgraduate Combinatorial Conference 2007, St Andrews, 6 – 8 June 2007
My view on Pisot substitutions (contributed talk, BS)
Talk presented in the Special Session on Computational and Combinatorial Aspects of Tiling and Substitutions at the AMS 2007 Spring Sectional Meeting, Davidson (NC), USA, 3 – 4 March 2007

Seminar Talks

Diffraction of deterministic and stochastic structures
University of Washington, Seattle, USA, 23 September 2011
A hexagonal monotile of the Euclidean plane
University of Tasmania, Hobart, Australia, 15 February 2011
Some comments on Taylor's hexagonal monotile
University of Bielefeld, Germany, 5 November 2010
Penrose tilings via de Bruin's grid method (UG)
University of Bielefeld, Germany, 9 December 2009
Coincidence site lattices of the root lattice A4(MH)
University of East Anglia, Norwich, 30 March 2009
A note on coincidence isometries of modules in Euclidean space (CH)
University of Bielefeld, Germany, 18 June 2008
Some combinatorial properties of planar aperiodic tilings (UG)
University of Leicester, 29 May 2008
Aperiodic tilings and some of their combinatorial properties (UG)
Queen Mary, University of London, 29 April 2008
Aperiodicity & Order (UG)
ANU, Canberra, Australia, 7 March 2008
Aperiodic tilings and some of their combinatorial properties (UG)
Melbourne University, Australia, 5 March 2008
Coincidence rotations of the root lattice A4 (MH)
Czech Technical University, Prague, 4 March 2008
Symmetry & Aperiodicity: A Gentle Introduction (UG)
University of Tasmania, Hobart, Australia, 16 October 2007

Public Dissemination

How do Shapes Fill Space?
EPSRC, 29 April 2010, Swindon
How do Shapes Fill Space?
Brighton Science Festival 2010, 27 February 2010
How do Shapes Fill Space?
Royal Society Summer Science Exhibition 2009, 30 June – 4 July, London
To repeat or not to repeat: The mathematics of quasicrystals (UG)
Denbigh School Science, Engineering & Mathematics Lecture Series, Milton Keynes, 5 February 2009
(postponed due to school closure as a result of heavy snow)
Forbidden Beauty — a story about symmetry & order in crystals (UG)
School Event, Milton Keynes Science Festival, Milton Keynes, 6 – 15 July 2007
Symmetry & Aperiodicity: The Forbidden Beauty of Quasicrystals (UG)
OU Festival of Research, Milton Keynes, 11 – 12 July 2007
Deformed model sets and distorted Penrose tilings (BS)
Evening Reception, Annual Presentations at the House of Commons, London, 19 March 2007
Aperiodicity & order — the forbidden beauty of quasicrystals (UG)
Café Scientifique, Cockermouth, 13 February 2007
Symmetry and (A)Periodicity (UG)
Christmas Lecture, Open University Region 05, Nottingham, 2 December 2006

Awards & Prizes

Best Student Presentation
Manuela Heuer was awarded a prize for best student presentation at the 10th International Conference on Quasicrystals ICQ10 in Zürich, July 2008

Photos from exhibit How do shapes fill space?

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