leqephe

Litaba

Joang ho bala palo ea liphaephe tsa tšepe ka bongata ba hexagonal?

Ha liloala tsa tšepe li hlahisa sehlopha salipeipi tsa tšepe, a li kopanya hore e be libōpeho tse mahlakore a tšeletseng e le hore ho be bonolo ho li tsamaisa le ho li bala. Sephutheloana se seng le se seng se na le liphaephe tse tšeletseng lehlakoreng le leng. Ho na le lipeipi tse kae ka har'a ngata ka 'ngoe?

Karabo: 3n(n-1)+1, moo n e leng palo ea lipeipi ka lehlakoreng le leng la hexagon e tloaelehileng e ka ntle. 1) * 6 = liphaephe tse 6, hammoho le phala e le 'ngoe bohareng.
Foromo e nkiloeng:
Lehlakore ka leng le tšoere lipeipi tsa n. Lera le ka ntle le na le (n-1) * liphaephe tse 6, lera la bobeli (n-2) * liphaephe tse 6, ..., (n-1) th lera (n-(n-1)) * 6 = liphaephe tse 6, 'me qetellong phala e le' ngoe bohareng. Kakaretso ke [(n-1) + (n-2) + ... + 1]*6 + 1. Polelo e ka har’a masakaneng e emela kakaretso ea tatellano ea lipalo (palo ea mantsoe a pele le a ho qetela a arotsoe ka 2, ebe e atisa ka n-1 ho hlahisa n*(n-1)/2).
Sena se qetella se fana ka 3n*(n-1)+1.

tube

Foromo: 3n(n-1)+1 Ho kenya n=8 ho foromo: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 lithupa


Nako ea poso: Oct-20-2025

(Tse ling tsa litaba tse ngotsoeng sebakeng sena sa marang-rang li hlahisitsoe ho tsoa ho Marang-rang, li hlahisoa hape ho fetisa tlhaiso-leseling e batsi. Re hlompha ea mantlha, tokelo ea molao ke ea mongoli oa mantlha, haeba u sa fumane kutloisiso ea mohloli oa tšepo, ka kopo ikopanye le ho hlakola!)