Lapho imishini yensimbi ikhiqiza inqwabaamapayipi ensimbi, bawahlanganisa abe yizimo ezilinganayo ukuze kube lula ukuthutha nokubala. Inqwaba ngayinye inamapayipi ayisithupha ohlangothini ngalunye. Mangaki amapayipi akhona kunqwaba ngayinye?
Impendulo: 3n(n-1)+1, lapho u-n kuyinani lamapayipi ohlangothini olulodwa lwe-hexagon evamile yangaphandle. 1) * 6 = amapayipi ayi-6, kanye nepayipi eli-1 phakathi nendawo.
Ukutholwa kwefomula:
Uhlangothi ngalunye luphethe amapayipi angu-n. Ingqimba engaphandle iqukethe amapayipi angu-(n-1) * 6, ungqimba lwesibili (n-2) * 6, ..., ungqimba lwe-(n-1)th (n-(n-1)) * 6 = amapayipi angu-6, futhi ekugcineni ipayipi eli-1 phakathi nendawo. Ingqikithi ingu-[(n-1) + (n-2) + ... + 1]*6 + 1. Inkulumo engaphakathi kwabakaki imelela isamba sokulandelana kwezibalo (isamba samagama okuqala nawokugcina ahlukaniswe ngo-2, bese ephindaphindwa ngo-n-1 ukuze aveze u-n*(n-1)/2).
Lokhu ekugcineni kuveza u-3n*(n-1)+1.
Ifomula: 3n(n-1)+1 Ukufaka u-n=8 kufomula: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 izinti
Isikhathi sokuthunyelwe: Okthoba-20-2025
