hexagonal number en · NOUN
Meanings
- The number of dots in a figure made up of partially overlapping dotted regular hexagons (6k dots arranged into a regular hexagon) of perimeter 6k for k = 1 ... n which grow out of a common vertex (and two shared or partially shared sides); a.k.a. “cornered hexagonal number”; H_n+1=6Δₙ-n²+1 where Δₙ denotes the nᵗʰ triangular number.
- The number of dots in a figure made up of regular dotted hexagons (of perimeter 6k for k = 1 ... n) arranged concentrically around an extra dot at their common center; a.k.a. “centered hexagonal number”; H_n+1=1+6Δₙ.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| hexagonal numbers | Number=Plur | lexicographic |
Hypernyms
figurate number · triangular number
Translations (2)
de Sechseckszahl (Translations) · nl zeshoeksgetal (Translations)