2017 HiMCM B题特等奖学生论文下载8201

2017 HiMCM B题特等奖学生论文下载8201

 

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论文摘要如下：

Summary​ ​Sheet

 

Our​ ​team​ ​was​ ​tasked​ ​with​ ​designing​ ​a​ ​ski​ ​resort​ ​set​ ​to​ ​be​ ​built​ ​over​ ​the​ ​Wasatch​ ​Peaks​ ​Ranch property.​ ​Specifically,​ ​the​ ​resort​ ​had​ ​to​ ​have​ ​plenty​ ​of​ ​trails,​ ​main​ ​slopes​ ​of​ ​varying​ ​lengths,​ ​at least​ ​160​ ​total​ ​kilometers​ ​of​ ​slopes​ ​and​ ​trails,​ ​and​ ​a​ ​slope​ ​distribution​ ​approximating​ ​20%​ ​green circles,​ ​40%​ ​blue​ ​squares,​ ​and​ ​40%​ ​black​ ​diamonds.​ ​We​ ​obtained​ ​GIS​ ​data​ ​of​ ​the​ ​resort​ ​location and​ ​used​ ​gradient​ ​vector​ ​fields​ ​and​ ​Mathematica’s​ ​morphological​ ​image​ ​processing​ ​capabilities to​ ​mathematically​ ​determine​ ​the​ ​locations​ ​of​ ​“fall​ ​lines,”​ ​the​ ​safest​ ​and​ ​most​ ​optimal​ ​ski​ ​slopes on​ ​the​ ​property.​ ​The​ ​robustness​ ​and​ ​stability​ ​of​ ​our​ ​model​ ​was​ ​determined​ ​by​ ​running​ ​an agent-based​ ​watershed​ ​analysis​ ​within​ ​SURFER​ ​to​ ​simulate​ ​fall​ ​lines.​ ​Through​ ​visual​ ​inspection of​ ​the​ ​few​ ​flat​ ​regions,​ ​we​ ​added​ ​in​ ​ski​ ​lifts​ ​and​ ​ski​ ​lift​ ​stations,​ ​marking​ ​where​ ​the​ ​slopes​ ​would start​ ​and​ ​end.​ ​​ ​Overlaying​ ​these​ ​three​ ​maps​ ​on​ ​top​ ​of​ ​each​ ​other​ ​allowed​ ​us​ ​to​ ​identify​ ​the​ ​most ideal​ ​paths:​ ​ones​ ​following​ ​the​ ​slope.​ ​As​ ​did​ ​many​ ​Olympic​ ​venues​ ​before​ ​ours,​ ​we​ ​want​ ​to showcase​ ​the​ ​beauty​ ​of​ ​the​ ​American​ ​landscape​ ​for​ ​the​ ​world​ ​by​ ​making​ ​as​ ​little​ ​alterations​ ​to the​ ​natural​ ​landscape​ ​as​ ​possible:​ ​all​ ​model​ ​and​ ​ski​ ​slope​ ​designs​ ​were​ ​built​ ​using​ ​existing​ ​fall lines​ ​and​ ​around​ ​landforms​ ​to​ ​provide​ ​for​ ​an​ ​eco-friendly​ ​and​ ​cost-effective​ ​ski​ ​slope.

We​ ​tested​ ​our​ ​design​ ​by​ ​comparing​ ​it​ ​to​ ​other​ ​selected​ ​resorts​ ​in​ ​North​ ​America.​ ​Our​ ​metric​ ​took into​ ​account​ ​three​ ​main​ ​factors:​ ​land​ ​per​ ​lift,​ ​slopes​ ​per​ ​lift,​ ​and​ ​slope​ ​difficulty​ ​distribution.​ ​By comparing​ ​them​ ​to​ ​optimal​ ​values,​ ​the​ ​metric​ ​produces​ ​a​ ​rating​ ​for​ ​each​ ​ski​ ​resort.​ ​We​ ​also created​ ​a​ ​computational​ ​agent-based​ ​model​ ​in​ ​NetLogo​ ​which​ ​allowed​ ​us​ ​to​ ​manipulate​ ​variables and​ ​test​ ​responses​ ​of​ ​our​ ​resort​ ​to​ ​stochastic​ ​variations​ ​in​ ​skier​ ​speed​ ​and​ ​lift​ ​distribution.

Our​ ​final​ ​solution​ ​consists​ ​of​ ​a​ ​total​ ​of​ ​199.4​ ​km​ ​of​ ​path,​ ​with​ ​a​ ​distribution​ ​of​ ​22.72%​ ​green circle,​ ​38.50%​ ​blue​ ​square,​ ​and​ ​38.77%​ ​black​ ​diamond.​ ​​ ​The​ ​metric​ ​ranks​ ​Wasatch​ ​Peaks​ ​Ranch fourth​ ​among​ ​the​ ​sampled​ ​North​ ​American​ ​resorts.​ ​​ ​Wasatch​ ​Peaks​ ​has​ ​potential​ ​to​ ​become​ ​a highly​ ​desirable​ ​ski​ ​resort,​ ​as​ ​well​ ​as​ ​a​ ​strong​ ​contender​ ​to​ ​host​ ​of​ ​the​ ​2026​ ​Olympics.

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