Two Cans & String

{ "thread_id": "10441", "posts": [ { "id": "1025756", "time": "1563761634", "html": "A quick Sunday afternoon hack... <a href=\"https://twocansandstring.com/games/fourcolors\">Prove an instance of the four color theorem by construction.</a><br /><br />Click a region to change its color. White is considered uncolored. You win when all regions have a color and no two adjacent regions have the same color.", "user": "hydrogen777" }, { "id": "1100291", "time": "1609865593", "html": "I think I beat it. I am not sure. Is there a win condition or do you just have to figure out if you won?", "user": "dementedkermit" }, { "id": "1100292", "time": "1609865736", "html": "When you win it automatically resets. If it didn't reset, there should be two matching adjacent colors somewhere!", "user": "hydrogen777" }, { "id": "1100293", "time": "1609865906", "html": "kjldslfsdflsad i cant find it", "user": "dementedkermit" }, { "id": "1100295", "time": "1609866171", "html": "it was two cyans touching in one square", "user": "dementedkermit" }, { "id": "1100296", "time": "1609866559", "html": "Yeet i am getting better at this", "user": "dementedkermit" }, { "id": "1100297", "time": "1609866761", "html": "Nicely done! \ud83d\ude04", "user": "hydrogen777" }, { "id": "1100670", "time": "1610114126", "html": "I am addicted.", "user": "dementedkermit" }, { "id": "1103940", "time": "1612285088", "html": "Is it possible to beat the game without using purple?", "user": "dementedkermit" }, { "id": "1104002", "time": "1612296545", "html": "This is actually a very calming little game. It reminds me a bit of I Love Hue (a color matching app game).", "user": "eriophora" }, { "id": "1104028", "time": "1612305891", "html": "<div style=\"margin:20px; background-image:url(/images/light.png);\"><div style=\"border:1px solid #888; padding:5px;\"><a href=\"/users/dementedkermit\">dementedkermit</a> said:</div><div style=\"border:1px solid #888; padding:20px;\">Is it possible to beat the game without using purple?</div></div><br /><br />It is theoretically possible, but I think very unlikely", "user": "aprzn123" }, { "id": "1104290", "time": "1612397960", "html": "Glad you guys like it! \ud83d\ude04<br /><br />It's even possible to color some maps with just two colors, for example if the map is shaped like a checkerboard. I concur that 2- or even 3-colorable maps are probably really rare. I've never solved one of these puzzles using just three colors, though maybe it's been possible before and I just didn't notice (since wasting colors is free).", "user": "hydrogen777" }, { "id": "1104302", "time": "1612403864", "html": "is it possible for the random generation to make a complete checkerboard?<br /><br />also wouldn't any tessellation work for 2 colors too?", "user": "dementedkermit" }, { "id": "1104314", "time": "1612410440", "html": "I think so, yes. The map generation algorithm starts with a grid of 3,072 tiny regions and merges the smallest one into a random neighboring region until it gets down to 40 regions. You can imagine a generated map where the regions happen to form an 8 x 5 stretched checkerboard.<br /><br />And I don't think so. For instance a regular hexagonal tiling requires three colors.", "user": "hydrogen777" }, { "id": "1104561", "time": "1612537123", "html": "true, I didnt think of hexagons.", "user": "dementedkermit" }, { "id": "1128088", "time": "1618280097", "html": "I too have become addicted. It does remind me of I Love Hue, which I enjoy.", "user": "antagonist" } ], "users": { "hydrogen777": { "name": "Hydrogen777", "key": "hydrogen777", "url": "/users/hydrogen777", "avatar": "/uploads/drawn/11933.png", "rankClass": "admin", "rankText": "Admin", "posts": "7496" }, "dementedkermit": { "name": "dementedkermit", "key": "dementedkermit", "url": "/users/dementedkermit", "avatar": "/uploads/drawn/28258.png", "rankClass": "civilian", "rankText": "", "posts": "6065" }, "eriophora": { "name": "eriophora", "key": "eriophora", "url": "/users/eriophora", "avatar": "/uploads/drawn/28143.png", "rankClass": "civilian", "rankText": "", "posts": "503" }, "aprzn123": { "name": "aprzn123", "key": "aprzn123", "url": "/users/aprzn123", "avatar": "/uploads/drawn/28272.png", "rankClass": "civilian", "rankText": "", "posts": "6234" }, "antagonist": { "name": "Antagonist", "key": "antagonist", "url": "/users/antagonist", "avatar": "/uploads/drawn/27059.png", "rankClass": "civilian", "rankText": "", "posts": "5937" } }, "page_num": 1, "locked": 0, "total_pages": 1 }

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