iphepha

Iindaba

Ungabala njani inani leepayipi zentsimbi kwi-bundle ene-hexagonal?

Xa iifektri zentsimbi zivelisa inqwaba yeimibhobho yentsimbi, bazibopha zibe ziimo ezilinganayo ukuze kube lula ukuzithutha nokubala. Iphakheji nganye ineepayipi ezintandathu kwicala ngalinye. Zingaphi iipayipi ezikwiphakheji nganye?

Impendulo: 3n(n-1)+1, apho u-n linani leepayipi kwicala elinye lehexagon eqhelekileyo yangaphandle. 1) * 6 = iipayipi ezi-6, kunye nombhobho omnye embindini.
Imvelaphi yefomula:
Icala ngalinye liphethe iipayipi ze-n. Umaleko ongaphandle uqulethe iipayipi ze-(n-1) * 6, umaleko wesibini (n-2) * 6, ..., umaleko we-(n-1)th (n-(n-1)) * 6 = 6, kwaye ekugqibeleni kukho ipayipi e-1 embindini. Isimbuku yi-[(n-1) + (n-2) + ... + 1]*6 + 1. Ibinzana elingaphakathi kwezibiyeli limele isimbuku solandelelwano lwezibalo (isimbuku samagama okuqala nawokugqibela ahlulwe ngo-2, aze aphindaphindwe ngo-n-1 ukuze avelise u-n*(n-1)/2).
Oku ekugqibeleni kuvelisa i-3n*(n-1)+1.

ityhubhu

Ifomula: 3n(n-1)+1 Ukufaka u-n=8 kwifomula: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 izinti


Ixesha leposi: Okthobha-20-2025

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