See hexagonal number on Wiktionary
Download JSON data for hexagonal number meaning in All languages combined (2.6kB)
{
"forms": [
{
"form": "hexagonal numbers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "hexagonal number (plural hexagonal numbers)",
"name": "en-noun"
}
],
"hypernyms": [
{
"_dis1": "50 50",
"word": "figurate number"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "59 41",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"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."
],
"id": "en-hexagonal_number-en-noun-OAuulEdl",
"links": [
[
"mathematics",
"mathematics"
],
[
"hexagon",
"hexagon"
],
[
"perimeter",
"perimeter"
],
[
"triangular number",
"triangular number"
]
],
"raw_glosses": [
"(mathematics) 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."
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "62 38",
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Sechseckszahl"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"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."
],
"id": "en-hexagonal_number-en-noun-fa9I8mLh",
"links": [
[
"mathematics",
"mathematics"
],
[
"concentrically",
"concentrically"
]
],
"raw_glosses": [
"(mathematics) 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."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "hexagonal number"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Translation table header lacks gloss"
],
"forms": [
{
"form": "hexagonal numbers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "hexagonal number (plural hexagonal numbers)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "figurate number"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Mathematics"
],
"glosses": [
"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."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"hexagon",
"hexagon"
],
[
"perimeter",
"perimeter"
],
[
"triangular number",
"triangular number"
]
],
"raw_glosses": [
"(mathematics) 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."
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Mathematics"
],
"glosses": [
"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."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"concentrically",
"concentrically"
]
],
"raw_glosses": [
"(mathematics) 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."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Sechseckszahl"
}
],
"word": "hexagonal number"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.