Mathematics without Words

What if mathematics were more about emotion than knowledge? With our team of outreachers, we visit public events from local festivals to world expos, surprising audiences of all ages with mathematics activities.

Based on puzzle games and art-based explorations, we create and design these activities from scratch, optimizing them for each venue. Every activity can be started after ten seconds of instructions, sometimes without words, and leads to ten minutes or hours of exploration. Grounded in contemporary mathematics, they offer a fast track to the frontier of understanding.

We create spaces for genuine, joyful encounters with mathematics that linger.

Hugo Parlier and Bruno Teheux

Bruno Teheux (University of Luxembourg)
bruno.teheux@uni.lu

Hugo Parlier (University of Fribourg)
hugo.parlier@unifr.ch

Our Games & Activities

Quadratis puzzle game - participants exploring patterns

Quadratis

Hugo Parlier and Paul Turner

A sliding puzzle game on screen with colored tiles connected along unusual topologies. The puzzles range from straightforward challenges to genuinely difficult problems. A collaborative exploration mode reveals the deep mathematical structures underlying these geometric configurations.

#Translation surfaces · #Moduli Spaces · #Topology · #Flat Geometry
quadratis.app
Revolution activity - circular motion demonstration

Revolution and Involution

Hugo Parlier and Bruno Teheux

Revolution and Involution are companion reconfiguration puzzle board games. Your task: creating specific patterns by rotating rings using the prescribed wheel. Players gradually learn to navigate complex mathematical universes by solving increasingly difficult puzzles.

#Groups · #Braids · #Symmetries · #Graphs
involution-games.com
Cyclicity - periodic patterns and cycles

Cyclicity

Hugo Parlier and Bruno Teheux

Turn them blue ! You are facing a human sized cylinder tilled with tangible lighted hexagons, and you have to turn all of them blue. The cylinder will only accept to update the colors if you carefully select shortest cycles around the holes of the grid. A tribute to topology, this puzzle can also be played on tablets.

#Cycles · #Topology · #Homology · #Geodesics
Life Lines - artistic line patterns

Life Lines

Hugo Parlier and Bruno Teheux

An art-oriented activity where you unleash your creativity by drawing curves on a touchscreen. Drawings are automatically colored using a mathematical trick, and you are invited to understand it, or to push it to your limits. The collected curves are turned into a structured universe using a tool that allows to measure how close are the curves. This is your guide construct your own path in the space of paths

#Winding Number · #Topology · #Metric Space · #Fréchet distance · #Computational Geometry

Events & Talks

Math without Words

Over the years, we have developed and animated workshops based on puzzle games and art-based activities created for public venues. Below is an account of our most recent initiatives, spanning diverse contexts—from local schools and science festivals to international exhibitions and world expos.

The recurring names of our activities reflect two complementary aspects. First, they signal the continuous evolution and refinement of our exhibits. Second, they serve as markers of identification: our local audiences have come to recognize us as consistent, reliable participants in cultural and scientific events. This naming consistency helps them find and engage with our work.

Girls Exploring Math (GEM), Esch-sur-Alzette (LU) 👥80
Unpuzzling Mathematics May 12, 2026
Schoulefoire, Luxembourg (LU) 👥350
Explore, Collaborate, Create Apr 19-22, 2026
Take off ! TV Show (LU)
Cyclicity and dog-leash challenge Mar 2026
Science for Youth, Fribourg (CH) 👥10
Simplement Complexe Mar 10, 2026
Game Festival, Boulange (FR) 👥50
The Simplicity of Complexity Feb 8, 2026
Racket69 TV Show, Estonia
Involution challenge Jan 2026
Games On Festival, Luxembourg (LU) 👥250
The Simplicity of Complexity Nov 15-16, 2025
Explora Festival, Fribourg (CH) 👥150
Traces Sept 20, 2025
Science Festival, Luxembourg (LU) 👥400
Traces Nov 22-25, 2025
Nuit de la Culture, Esch-sur-Alzette (LU) 👥500
Traces Sep 20, 2025
Fondation Jeunes Scientifiques, Esch-sur-Alzette (LU) 👥15
The Mathematics of Traces Aug 19, 2025
World Expo 2025, Osaka (JP) 👥5500
Traces Jul 18-27, 2025
Festival Maths et Merveilles, Genève (CH) 👥350
The Simplicity of Complexity Jul 5-6, 2025
Lycée Fieldgen, Luxembourg (LU) 👥15
The Mathematics of Traces May 21, 2025
Girls Exploring Math (GEM), Esch-sur-Alzette (LU) 👥120
GEM 2025 May 8, 2025
Lycée Fieldgen, Luxembourg (LU) 👥15
Traces Workshop May 2025
Yep Schoulefoire, Luxembourg (LU) 👥300
Atelier des Métamorphoses Apr 27-30, 2025
Festival les Maths dans tous leurs états, Catstanet-Tolosan (FR) 👥300
Simplement Complexe Mar 20-23, 2025
Science for Youth, Fribourg (CH) 👥10
Between art and games : the creative side of mathematics Mar 11, 2025
First Lego League (LU) 👥70
Simplicity of Complexity Feb 4-6, 2025
Take off ! TV Show (LU)
Involution (human size) on Show Feb 2025
Exhbition "Shapes: Patterns in art and Science", Lausanne (CH) 👥1500
Life Lines 17 Jan - 9 Mar 2025
Researchers Days, Esch-sur-Alzette (LU) 👥300
Through the loop: glimpses of mathematics Nov 28-30, 2024
Games On Festival, Luxembourg (LU) 👥300
The Simplicity of Complexity Oct 26-27, 2024
Games On Festival, Luxembourg (LU) 👥30
The Simplicity of Complexity - Educators Day Oct 24, 2024
Girls Exploring Math (GEM), Esch-sur-Alzette (LU) 👥120
Unpuzzling Mathematics May 2024
Yep Schoulefoire, Luxembourg (LU) 👥300
Math: explore, joue, résous Mar 22-24, 2024
Collèges les Récollets, Longwy (FR) 👥50
Simplement Complexe Mar 22, 2024
Festival Les Maths dans tous leurs états, Castanet-Tolosan (FR) 👥250
Simplement complexe Mar 14-15, 2024
Girls Exploring Math, Esch-sur-Alzette (LU) 👥230
Unpuzzling Mathematics May 2023
The Sound of Data Festival, Esch-sur-Alzette (LU) 👥350
Recreate May 1, 2022
Expo 2020, Dubai (AE) 👥7000
ReCreate Feb 22 - March 5, 2022
Expo 2020, Dubai (AE) 👥5000
The Simplicity of Complexity Dec 12-17, 2021
Sorbonne University UAE, Abu Dhabi (UAE) 👥30
The Simplicity of Complexity Dec 2021
Science Festival, Luxembourg (LU) 👥300
The Simplicity of Complexity Dec 2021

Talking about Math without Words

Beyond hands-on activities, we share our work through talks at academic conferences and scientific gatherings. These discussions explore the philosophy and practice behind our outreach initiatives, connecting with researchers and educators worldwide.

Some of our talks delve deeper into the mathematics underlying our activities, tailored to diverse audiences—from specialized academic communities to general public forums. In this way, our talks serve as a complementary and interactive expository dimension to our workshops.

50 year anniversary of the Irish Mathematical Society, Dublin (IE)
Traces Aug 27, 2026
Art and Science Encounter, Le Pavillon, Namur (BE)
Life lines Apr 22, 2026
Congrès Math-en-Jeans, University of Liège (BE)
Traces vives Apr 21, 2026
University of Southampton (GB)
Mathematics without words Mar 24, 2026
Institut Henri Poincaré (IHP), Paris (FR)
Sketchy moduli spaces Feb 16, 2026
Luxembourg (LU)
TASTE Forum Feb 25, 2026
TASTE - On Bodies and Practice, Casino Luxembourg - Forum d'art Contemporain
Traces Feb 25, 2026
COSMO: EPFL (CH)
Mathematics without words Feb 2, 2026
AMS Special Session on Communication - Joint Math Meetings, Washington DC (US)
Mathematics without words Jan 4, 2026
Colloquium "La science au service de l'art, l'art au service de la Science", University of Liège (BE)
Traces Nov 28, 2025
Young scientists symposium, ISTA (AU)
Traces Nov 26, 2025
Young Scientists Forum, Luxembourg (LU)
Traces Oct 30, 2025
Invitation Carte Blanche : Maison Poincaré, Paris (FR)
Traces vives Jun 12, 2025
Multiplicities seminar, University of Luxembourg (LU)
Traces Jun 4, 2025
SML, Lyon (FR)
Traces vives Apr 7, 2025
Leonardo Lecture, Fribourg (CH)
Playing with moduli spaces Mar 24, 2025
Printemps des mathématiques, Castanet-Tolozan (FR)
Traces vives Mar 21, 2025
Shapes Symposium, EPFL (CH)
Life lines Feb 11, 2025
Math Encounters, MoMath (USA)
The simplicity of complexity Sept 6, 2023

Outreachers

Over the years, we have been helped by a team of outreachers whose participation was essential to the reach of our activities. Thanks to Marie Abadie, Naomi Bredon, Bruno Dular, Anne Fisch, Hélène Halconruy, Ann Kiefer, Laurent Loosveldt, Damaris Meier, Camille Petit, Francesca Pistolato, Tim Seuré, Katie Vokes and many others!

References

These papers document our outreach practice and what years of encounters with diverse audiences have taught us.

The simplicity of complexity: a story of mathematical outreach

Hugo Parlier and Bruno Teheux

Mathematics - The Beauty of Mathematical Reasoning. VSH-AEU Bulletin 3, 2025

ReShape: a Collaborative Art Experience

Hugo Parlier and Bruno Teheux

2025