diff --git a/portfolio-nuxt/pages/a_history_of_the_domino_problem.vue b/portfolio-nuxt/pages/a_history_of_the_domino_problem.vue
index db2d9d8..22a0fa3 100644
--- a/portfolio-nuxt/pages/a_history_of_the_domino_problem.vue
+++ b/portfolio-nuxt/pages/a_history_of_the_domino_problem.vue
@@ -117,11 +117,13 @@
with Prof. JARKKO KARI (Turku University), moderated by Prof. Dr. GAËTAN BOROT (HU Berlin)
+ the abstract of Prof. JARKKO KARI's Lecture is provided below
+
performance by KALI ENSEMBLE
22 Nov 2023 | 19:30 Uhr
- Fritz-Reuter-Saal, HU Berlin Universitätsgebäude (am Hegelplatz), Dorotheentsraße 24 (U-Bahn Unter den Linden oder Museuminsel)
+ Fritz-Reuter-Saal, HU Berlin Universitätsgebäude (am Hegelplatz), Dorotheenstraße 24 (U-Bahn Unter den Linden oder Museuminsel)
Concert
@@ -136,10 +138,15 @@
+
+ abstract
+
From Wang Tiles to the Domino Problem: A Tale of Aperiodicity
- This presentation delves into the remarkable history of aperiodic tilings and the domino problem. Aperiodic tile sets refer to collections of tiles that can only tile the plane in a non-repeating, or non-periodic, manner. Such sets were not believed to exist until 1964 when R. Berger introduced the first aperiodic set consisting of an astonishing 20,426 Wang tiles. Over the years, ongoing research led to significant advancements, culminating in 2015 with the discovery of a mere 11 Wang tiles by E. Jeandel and M. Rao, alongside a computer-assisted proof of their minimality. Simultaneously, researchers found even smaller aperiodic sets composed of polygon-shaped tiles. Notably, Penrose's kite and dart tiles emerged as early examples, and most recently, a groundbreaking discovery was made - a solitary aperiodic tile known as the "hat" that can tile the plane exclusively in a non-periodic manner. Aperiodic tile sets are intimately connected with the domino problem that asserts how certain tile sets can tile the plane without us ever being able to establish their tiling nature with absolute certainty. Moreover, aperiodic tilings hold a distinct visual aesthetic allure. In today's musical presentation, their artistic appeal transcends the visual domain and extends into the realm of music. -Jarkko Kari
+ This presentation delves into the remarkable history of aperiodic tilings and the domino problem. Aperiodic tile sets refer to collections of tiles that can only tile the plane in a non-repeating, or non-periodic, manner. Such sets were not believed to exist until 1964 when R. Berger introduced the first aperiodic set consisting of an astonishing 20,426 Wang tiles. Over the years, ongoing research led to significant advancements, culminating in 2015 with the discovery of a mere 11 Wang tiles by E. Jeandel and M. Rao, alongside a computer-assisted proof of their minimality. Simultaneously, researchers found even smaller aperiodic sets composed of polygon-shaped tiles. Notably, Penrose's kite and dart tiles emerged as early examples, and most recently, a groundbreaking discovery was made - a solitary aperiodic tile known as the "hat" that can tile the plane exclusively in a non-periodic manner. Aperiodic tile sets are intimately connected with the domino problem that asserts how certain tile sets can tile the plane without us ever being able to establish their tiling nature with absolute certainty. Moreover, aperiodic tilings hold a distinct visual aesthetic allure. In today's musical presentation, their artistic appeal transcends the visual domain and extends into the realm of music.
+
+ -Jarkko Kari