making text on hdp site selectable

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mwinter 1 year ago
parent 92dc35271f
commit b112e5f178

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<span class="italic">a history of the domino problem</span> is a performance-installation that traces the history of an epistemological problem in mathematics about how things that one could never imagine fitting together, actually come together and unify in unexpected ways. The work comprises a set of musical compositions and a kinetic sculpture that sonify and visualize rare tilings (more commonly known as mosaics) constructed from dominoes. The dominoes in these tilings are similar yet slightly different than those used in the popular game of the same name. As opposed to rectangles divided into two regions with numbers between 1 and 6, they are squares where each of the 4 edges is assigned a number (typically represented by a corresponding color or alternatively, pattern) called <NuxtLink to='https://en.wikipedia.org/wiki/Wang_tile'>Wang tiles</NuxtLink>. Like in the game, the rule is that edges of adjacent dominoes in a tiling must match.
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The original Domino Problem asked if there exists an algorithm/computer program that, when given as input a finite set of dominoes with varying color combinations for the edges, can output a binary answer, `yes' or `no', whether or not copies of that set can form an infinite tiling. The problem was first posed by Hao Wang in 1961, who conjectured that the answer is positive and that such an algorithm does exist. The existence of aperiodic tilings would mean that such an algorithm <span class="italic">does not</span> exist. However, in 1964, his student, Robert Berger, proved him wrong by discovering an infinite, aperiodic tiling constructed with copies of a set of 20,426 dominoes. The resolution of Wang's original question led to new questions and mathematicians took on the challenge of finding the smallest set of dominoes that would construct an infinite aperiodic tiling. Over the past 60 years, this number has been continually reduced with the contributions of many different mathematicians until the most recent discovery of a set of 11 dominoes along with a proof that no smaller sets exist. It is a remarkable narrative/history of a particular epistemological problem that challenged a group of people not only to solve it, but to understand it to the extent possible.
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a few thoughts on how things fit together...
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The exhibition will feature individual and collaborative works by Michael Winter and Mareike Yin-Yee Lee in a constellation designed specifically for the Lichthof Ost exhibition room of the Humboldt University. The original kinetic sculpture Winter created to visualize the aperiodic tilings of the history of the domino problem will be juxtaposed with recent works by Yin-Yee Lee as well as collaboratively created realizations of the tilings. The works on display by Yin-Yee Lee will highlight selections from her Hidden Lakes and Missing Pieces series in which enigmatic outlines of lakes and various shapes encourage observers to perceive similarities and differences in form, pattern, and repetition between the pieces and to mentally fill in blank space. The collaborative realizations of the tilings will include prints generated by Winter with the aid of a computer that incorporate images and color schemes by Yin-Yee Lee as well as a floor mosaic of drawings on mirrors. The exhibition plays on the macro versus the micro, transformation, and how topologies of various color combinations, relationships between shapes and gradients reflect in space in order to illuminate "a few thoughts on how things fit together..."
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<span class="font-bold">Exhibition Opening - 17 Nov 2023 | 19 Uhr</span>
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-Jarkko Kari
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<NuxtLink class="text-3xl font-bold" to='https://unboundedpress.org/'>Michael Winter - composer | sound artist</NuxtLink>
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<NuxtLink to='https://en.wikipedia.org/wiki/Aperiodic_tiling'>https://en.wikipedia.org/wiki/Aperiodic_tiling</NuxtLink>
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