Thaum steel mills tsim ib pawg ntawmcov kav hlau, lawv ntim lawv rau hauv cov duab hexagonal kom yooj yim rau kev thauj mus los thiab suav. Txhua pob khoom muaj rau cov kav dej rau ib sab. Muaj pes tsawg cov kav dej hauv txhua pob?
Teb: 3n (n-1) + 1, qhov twg n yog tus naj npawb ntawm cov kav dej ntawm ib sab ntawm sab nrauv hexagon. 1) * 6 = 6 kav dej, ntxiv rau 1 cov yeeb nkab hauv nruab nrab.
Formula derivation:
Txhua sab tuav n cov kav dej. Cov txheej txheej sab nrauv muaj (n-1) * 6 kav dej, txheej thib ob (n-2) * 6 kav dej, ..., (n-1) txheej (n-(n-1)) * 6 = 6 kav, thiab thaum kawg 1 yeeb nkab nyob hauv nruab nrab. Tag nrho yog [(n-1) + (n-2) + ... + 1] * 6 + 1. Cov lus qhia hauv cov brackets sawv cev rau cov lej ntawm cov lej lej (cov lej ntawm thawj thiab zaum kawg muab faib los ntawm 2, tom qab ntawd muab faib los ntawm n-1 rau cov txiaj ntsig n * (n-1) / 2).
Qhov no thaum kawg yields 3n * (n-1) + 1.
Formula: 3n(n-1) + 1 Hloov n = 8 rau hauv cov mis: 3 × 8(8-1) + 1 = 24 × 7 + 1 = 168 + 1 = 169 sticks
Post lub sij hawm: Oct-20-2025
