#combinatorialgametheory

Colin the MathmoThere are only a limited number of letters, so TLAs (Three Letter Abbreviations) will always run the risk of clashing, possibly with something unsavoury.Which is a shame, but true.\( sigh \) OK, I need to find something pithy, but without unpleasant coincidences, for Combinatorial Game Theory.<a href="https://mathstodon.xyz/tags/CombinatorialGameTheory" class="mention hashtag" rel="tag">#CombinatorialGameTheory</a> ... Hmm.

Simon Koch :monotile_spectre:Dipping my toe into combinatorial game theory and I am wondering why values like * or ↑ are not considered numbers but values like ɛ are.I know that Conway defined surreal numbers as sets {L|R}, where all numbers in L are less than every numbers in R. Following this definition * being {0|0} isn't a number because 0≯0 and ↑ being {0|*} isn't a number because * is not a number. Why does the definition of number have these restrictions? Why not allow values like * or ↑ to be numbers?<a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="tag">#math</a> <a href="https://mathstodon.xyz/tags/combinatorialgametheory" class="mention hashtag" rel="tag">#combinatorialgametheory</a> <a href="https://mathstodon.xyz/tags/conway" class="mention hashtag" rel="tag">#conway</a>

Kyle BurkeWe had 34 people play in a conference tournament! It was a sum of Toads and Frogs, Domineering, and Traffic Jam, with a traffic jam win meaning a win in the overall game. <a href="https://mathstodon.xyz/tags/CombinatorialGames" class="mention hashtag" rel="tag">#CombinatorialGames</a> <a href="https://mathstodon.xyz/tags/CombinatorialGameTheory" class="mention hashtag" rel="tag">#CombinatorialGameTheory</a>

Big MathsJamKicking us off on our first session of the morning was Matt Parker <a href="https://mathstodon.xyz/@standupmaths" class="u-url mention">@standupmaths</a> who shared how he's planning to break the world record for the most digits of π calculated by hand, for next π day (see his other attempts here: <a href="https://www.youtube.com/playlist?list=PLhtC92GarkjyYbxI3-4qzIWIRbZaw4wuP" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://www.youtube.com/playlist?list=PLhtC92GarkjyYbxI3-4qzIWIRbZaw4wuP</a>). We also heard from Bob Huxley, who has also been thinking about π day, but this time on Mars where it turns out it's actually tomorrow! Annette Margolis then talked about her class' favourite (and least favourite) way to solve quadratic equations. John Hoskinson discussed Diffy Squares (<a href="https://mathforlove.com/2020/03/diffy-squares/" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://mathforlove.com/2020/03/diffy-squares/</a>) and adapted them to generalised diffy N-gons - for odd N, you get repeating cycles! Nobody has ever said the word 'diffy' more times in the space of 5 minutes. Alistair Bird <a href="https://mathstodon.xyz/@outofthenorm" class="u-url mention">@outofthenorm</a> shared about a mathematician who got inspired in the bath (but not that one), and what his discovery meant (turns out, not much, but it did inspire some nice results around Fermat's Last Theorem). Read more here: <a href="https://outofthenormmaths.wordpress.com/2011/11/09/blitz-krieger/" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://outofthenormmaths.wordpress.com/2011/11/09/blitz-krieger/</a> Adam Atkinson talked about Misère Games, leading to his discovery of just how many semigroups of order 8 there are, inducting us all into membership of DOCTIAL (the Department of 'Crikey! That Is A Lot!'); and finally Harlan Connor got LOUD about signal processing - it's possible to have peaks in audio volume that are higher than the maximum value the system can store! <a href="https://mathstodon.xyz/tags/mathsjam" class="mention hashtag" rel="tag">#mathsjam</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="tag">#maths</a> <a href="https://mathstodon.xyz/tags/pi" class="mention hashtag" rel="tag">#pi</a> <a href="https://mathstodon.xyz/tags/worldrecords" class="mention hashtag" rel="tag">#worldrecords</a> <a href="https://mathstodon.xyz/tags/mars" class="mention hashtag" rel="tag">#mars</a> <a href="https://mathstodon.xyz/tags/piday" class="mention hashtag" rel="tag">#piday</a> <a href="https://mathstodon.xyz/tags/quadraticequations" class="mention hashtag" rel="tag">#quadraticequations</a> <a href="https://mathstodon.xyz/tags/classwork" class="mention hashtag" rel="tag">#classwork</a> <a href="https://mathstodon.xyz/tags/teaching" class="mention hashtag" rel="tag">#teaching</a> <a href="https://mathstodon.xyz/tags/diffysquares" class="mention hashtag" rel="tag">#diffysquares</a> <a href="https://mathstodon.xyz/tags/baths" class="mention hashtag" rel="tag">#baths</a> <a href="https://mathstodon.xyz/tags/inspiration" class="mention hashtag" rel="tag">#inspiration</a> <a href="https://mathstodon.xyz/tags/mis%C3%A8regames" class="mention hashtag" rel="tag">#misèregames</a> <a href="https://mathstodon.xyz/tags/doctial" class="mention hashtag" rel="tag">#doctial</a> <a href="https://mathstodon.xyz/tags/loud" class="mention hashtag" rel="tag">#loud</a> <a href="https://mathstodon.xyz/tags/signalprocessing" class="mention hashtag" rel="tag">#signalprocessing</a> <a href="https://mathstodon.xyz/tags/groups" class="mention hashtag" rel="tag">#groups</a> <a href="https://mathstodon.xyz/tags/monoids" class="mention hashtag" rel="tag">#monoids</a> <a href="https://mathstodon.xyz/tags/semigroups" class="mention hashtag" rel="tag">#semigroups</a> <a href="https://mathstodon.xyz/tags/combinatorialgametheory" class="mention hashtag" rel="tag">#combinatorialgametheory</a>

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#combinatorialgametheory