Ni gute wabara umubare w'imiyoboro y'icyuma mu gice cy'icyuma gifite impande esheshatu?

Iyo inganda z'ibyuma zikora itsinda ryaimiyoboro y'icyuma, babihuza mu miterere ya hexagonal kugira ngo byorohe gutwara no kubara. Buri gapfunyika gafite imiyoboro itandatu kuri buri ruhande. Muri buri gapfunyika harimo imiyoboro ingahe?

Igisubizo: 3n(n-1)+1, aho n ari umubare w'imiyoboro iri ku ruhande rumwe rw'igice cy'inyuma cy'umurambararo gisanzwe. 1) * 6 = imiyoboro 6, hamwe n'umuyoboro 1 hagati.
Inkomoko ya formula:
Buri ruhande rufata imiyoboro ya n. Urwego rwo hanze rurimo imiyoboro ya (n-1) * 6, urwego rwa kabiri (n-2) * 6, ..., urwego rwa (n-1) (n-(n-1)) * 6 = imiyoboro 6, hanyuma umuyoboro 1 hagati. Igiteranyo ni [(n-1) + (n-2) + ... + 1] * 6 + 1. Imvugo iri mu dukingirizo igaragaza igiteranyo cy'uruhererekane rw'imibare (igiteranyo cy'amagambo ya mbere n'aya nyuma kigabanyijwe na 2, hanyuma kigabanywa na n-1 kugira ngo haboneke n*(n-1)/2).
Ibi bitanga 3n*(n-1)+1.