26:I[91452,["/_next/static/chunks/f915c07274536659.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/b100b36337f58b96.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/44f9947f31017eda.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/1f34752723866743.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/06238a0ba6e2450a.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/1fe50d1faa3d3f5b.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/a068ae4bba82be06.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp","/_next/static/chunks/135849583f9affe4.js?dpl=dpl_6MnXruQRBVToNztnTT8CLMLZMzdp"],"ProblemHintSolution"] 21:["$","path","mthhwq",{"d":"m9 18 6-6-6-6"}] 22:["$","span",null,{"className":"text-foreground font-medium truncate max-w-[150px] sm:max-w-[200px] md:max-w-[250px] lg:max-w-[300px]","title":"Triangular Grid Polynomial with Sides in Grid","children":"Triangular Grid Polynomial with Sides in Grid"}] 25:T484,Consider a triangular grid of equilateral triangles with unit sides. Assume that

\mathcal{P}

is a non-self-intersecting polygon with perimeter 1399 and sides from the grid. Prove that

\mathcal{P}

has either an internal or an external 120-degree angle.
Proposed by Seyed Hessam Firouzi

Problem Statement