http://wiki.thorx.net/mediawiki/index.php?title=AperiodicMonotile&feed=atom&action=historyAperiodicMonotile - Revision history2024-03-28T09:05:37ZRevision history for this page on the wikiMediaWiki 1.19.20+dfsg-0+deb7u3http://wiki.thorx.net/mediawiki/index.php?title=AperiodicMonotile&diff=10638&oldid=prevNemo: notes taken from fb added to here2023-06-04T12:38:04Z<p>notes taken from fb added to here</p>
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<td style="background: #ffa; color:black; font-size: smaller;"><div>Aperiodic Monotile</div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>Aperiodic Monotile<span class="diffchange diffchange-inline">, aka "an einstein"</span></div></td>
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<td style="background: #eee; color:black; font-size: smaller;"><div>They are a thing. </div></td>
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<td style="background: #ffa; color:black; font-size: smaller;"><div>This page is for exploring game design potential of these, not unlike the [[NontransitiveDice]] page. </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>This page is for exploring game design potential of these, not<span class="diffchange diffchange-inline"> entirely</span> unlike the [[NontransitiveDice]] page. </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>* Some variants on the einstein: https://github.com/christianp/aperiodic-monotile</div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>* A tool to play with tiling them: https://mathigon.org/polypad/8kVqVH2Mor6JTQ</div></td>
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<td style="background: #eee; color:black; font-size: smaller;"><div>Facebook thread discussing aperiodic monotile and game potential here: https://www.facebook.com/nemothorx/posts/pfbid02RHiargFBZV36F9VMrLvP2hFpjvrbqT6AB2PjYW8LhYKsiE5rMiAdp8hKWwMBbz8Ql</div></td>
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<td style="background: #eee; color:black; font-size: smaller;"><div>Facebook thread discussing aperiodic monotile and game potential here: https://www.facebook.com/nemothorx/posts/pfbid02RHiargFBZV36F9VMrLvP2hFpjvrbqT6AB2PjYW8LhYKsiE5rMiAdp8hKWwMBbz8Ql</div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>from that thread: </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div><Darryl> </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>It definitely has possibilities for gaming! Looking at it as a possible Catan variant, just to begin with: each corner (town location) borders 2, 3 or 4 tiles, and each tile has a border of 13 line segments (road locations) which come in two sizes, unless I have miscounted 6 small and 7 large. I think for simplicity each could be treated as 1/2 a road, meaning a 6.5 road circumference. Issue each player twice the standard number of road pieces, in the 6:7 ratio. Or just use small ones and play as though they stretched from end to end of large edges.</div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>Probably close enough to use the rest of the Catan rules unmodified and see how it plays out.</div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div><nemo> I've not played catan in many years, but using corners and edges like that is a direction I'd not thought. </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>I was thinking of filling the tiles with content and leaning into tantrix or tsuro style building a map - possibly with some benefit/penalty for creating unfillable holes in the map (something to consider for a catan style game, since that creates corners=towns with only 1 tile bordering it)</div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div><nemo> </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>I was thinking much the same as treating them as lakes (or if there are two distinct types of holes - as the above diagram seems to imply, there could be lakes and rivers with different attributes. </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>equal-spaced hold seems a reasonable intuition, yeah. An whatever mis-placement creates the hole, needs an inverse misplacement (or series of) to undo it. </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>The question becomes whether it's a good idea or not. For a catan style game, it feels like there could be benefit to a different type of terrain this way. or for a tantrix type game, dominating a hole by having the most of it's edge (by piece count or length) could even be the whole point of the game. In a tsuro style game, could go either way - a hole could be a winning condition, or forcing opponent into one could be their losing condition. Or even just be a rest "no parking" type spot from which you move on again...</div></td>
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</table>Nemohttp://wiki.thorx.net/mediawiki/index.php?title=AperiodicMonotile&diff=10630&oldid=prevNemo: .2023-04-18T16:51:46Z<p>.</p>
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<td colspan='2' style="background-color: white; color:black;">Revision as of 16:51, 18 April 2023</td>
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<td style="background: #eee; color:black; font-size: smaller;"><div>They are a thing. </div></td>
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<td style="background: #ffa; color:black; font-size: smaller;"><div>This page is for exploring game design potential of these, not unlike the [[<span class="diffchange diffchange-inline">TransitiveDice</span>]] page. </div></td>
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<td style="background: #cfc; color:black; font-size: smaller;"><div>This page is for exploring game design potential of these, not unlike the [[<span class="diffchange diffchange-inline">NontransitiveDice</span>]] page. </div></td>
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<td style="background: #eee; color:black; font-size: smaller;"><div>Facebook thread discussing aperiodic monotile and game potential here: https://www.facebook.com/nemothorx/posts/pfbid02RHiargFBZV36F9VMrLvP2hFpjvrbqT6AB2PjYW8LhYKsiE5rMiAdp8hKWwMBbz8Ql</div></td>
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<td style="background: #eee; color:black; font-size: smaller;"><div>Facebook thread discussing aperiodic monotile and game potential here: https://www.facebook.com/nemothorx/posts/pfbid02RHiargFBZV36F9VMrLvP2hFpjvrbqT6AB2PjYW8LhYKsiE5rMiAdp8hKWwMBbz8Ql</div></td>
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</table>Nemohttp://wiki.thorx.net/mediawiki/index.php?title=AperiodicMonotile&diff=10629&oldid=prevNemo: first notes2023-04-18T16:51:17Z<p>first notes</p>
<p><b>New page</b></p><div>Aperiodic Monotile<br />
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They are a thing. <br />
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This page is for exploring game design potential of these, not unlike the [[TransitiveDice]] page. <br />
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Facebook thread discussing aperiodic monotile and game potential here: https://www.facebook.com/nemothorx/posts/pfbid02RHiargFBZV36F9VMrLvP2hFpjvrbqT6AB2PjYW8LhYKsiE5rMiAdp8hKWwMBbz8Ql<br />
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[[Category:Games]]</div>Nemo