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Nzira yekuverenga sei nhamba yepombi dzesimbi mune hexagonal bundle?

Kana zvigayo zvesimbi zvinoburitsa batch yemapaipi esimbi, vanoabatanidza kuita mativi ane mativi matanhatu kuti zvive nyore kufambisa uye kuverenga. Bundle rega rega rine mapaipi matanhatu padivi. Mapaipi mangani ari musumbu rega rega?

Mhinduro: 3n(n-1)+1, apo n inhamba yepombi kune rimwe divi rekunze kwehexagon yenguva dzose. 1) * 6 = 6 mapaipi, uye 1 pombi pakati.
Formula derivation:
Rutivi rumwe norumwe runobata n mapaipi. Iyo yekunze yekumusoro ine (n-1) * 6 mapaipi, yechipiri layer (n-2) * 6 mapaipi, ..., iyo (n-1) th layer (n-(n-1)) * 6 = 6 mapaipi, uye pakupedzisira 1 pombi pakati. Zvose zvinoti [(n-1) + (n-2) + ... + 1]*6 + 1. Chirevo chiri mukati memabhuraketi chinomiririra uwandu hwenhevedzano yemasvomhu (hwerengedzo yematemu ekutanga neyokupedzisira akapatsanurwa na 2, wozopetwa nan-1 kuti ape n*(n-1)/2).
Izvi zvinozopa 3n*(n-1)+1.

chubhu

Formula: 3n(n-1)+1 Kutsiva n=8 muchimiro: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 tsotso


Nguva yekutumira: Oct-20-2025

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