iphepha

Iindaba

Indlela yokubala inani lemibhobho yensimbi kwi-hexagonal bundle?

Xa iintsimbi zentsimbi zivelisa ibhetshi yeimibhobho yentsimbi, bazidibanisa zibe macala mathandathu ukuze kube lula ukuhamba nokubala. Inyanda nganye inemibhobho emithandathu kwicala ngalinye. Mingaphi imibhobho ekwinqwaba nganye?

Impendulo: 3n(n-1)+1, apho u-n linani lemibhobho kwelinye icala lehexagon eqhelekileyo engaphandle. 1) * 6 = 6 imibhobho, kunye ne-1 ipayipi phakathi.
Ukutsalwa kwefomula:
Icala ngalinye libamba imibhobho n. Umaleko ongaphandle uqulathe (n-1) * 6 imibhobho, umaleko yesibini (n-2) * 6 imibhobho, ..., (n-1)th umaleko (n-(n-1)) * 6 = 6 imibhobho, yaye ekugqibeleni 1 umbhobho embindini. Itotali ngu [(n-1) + (n-2) + ... + 1]*6 + 1. Ibinzana elingaphakathi kwizibiyeli limele isimbuku se-arithmetic ulandelelwano (isimbuku sekota yokuqala neyokugqibela yahlulwe ngo-2, yandule ke iphindaphindwe ngo-n-1 ukuze ivelise u-n*(n-1)/2).
Oku ekugqibeleni kuvelisa i-3n*(n-1)+1.

ityhubhu

Ifomula: 3n(n-1)+1 Ukutshintsha n=8 kwifomula: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 iinkuni


Ixesha lokuposa: Oct-20-2025

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