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๊ญ“le Ormsby ๐“†™
@e-infinity.space

I just analyzed 1.9M recipes and can now report that the yummy simplicial complex is arguably *not* flag. The following flavor trios have far fewer recipes containing all three ingredients than the recipes with pairs of ingredients would predict.

๊ญ“le Ormsby ๐“†™@e-infinity.space

An open problem in culinary mathematics: Consider the ๐‘ฆ๐‘ข๐‘š๐‘š๐‘ฆ ๐‘ ๐‘–๐‘š๐‘๐‘™๐‘–๐‘๐‘–๐‘Ž๐‘™ ๐‘๐‘œ๐‘š๐‘๐‘™๐‘’๐‘ฅ Y on vertex set I = {ingredients} where ฯƒโˆˆY iff the ingredients in ฯƒ appear in a single good recipe. Question: Is Y a flag simplicial complex? (A complex Y is ๐‘“๐‘™๐‘Ž๐‘” when ฯƒโˆˆY iff {x,y}โˆˆY for all x,yโˆˆฯƒ.)

๊ญ“le Ormsby ๐“†™
@e-infinity.space

For me, the most compelling open triangle is tomato / lime / cottage cheese. tomato + lime = salsa tomato + cottage cheese = budget Caprese salad lime + cottage cheese = Grandma's lime jello salad tomato + lime + cottage cheese: get the fuck out of here.

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