API: PlaneFigurateNum
This reference is auto-generated from the source code on GitHub. For explanations and mathematical context, see Fundamentals and Learn.
All sequences are available through the FigurateNum class or directly via the PlaneFigurateNum class, with identical behavior.
from figuratenum import PlaneFigurateNumNote: Some sequences share names across geometric, combinatorial, or historical contexts. While outputs may coincide, their interpretations differ.
| # | Canonical | Aliases |
|---|---|---|
| 1 | polygonal(m: int) | — |
| 2 | centered_square() | diamond() |
| 3 | centered_dodecagonal() | star() |
| 4 | centered_mgonal(m: int) | — |
| 5 | pronic() | heteromecic(), oblong() |
| 6 | polite() | — |
| 7 | impolite() | — |
| 8 | cross() | — |
| 9 | aztec_diamond() | — |
| 10 | polygram(m: int) | centered_star_polygonal(m: int) |
| 11 | pentagram() | — |
| 12 | gnomonic() | — |
| 13 | truncated_triangular() | — |
| 14 | truncated_square() | — |
| 15 | truncated_pronic() | — |
| 16 | truncated_centered_pol(m: int) | truncated_centered_mgonal(m: int) |
| 17 | truncated_centered_hexagonal() | truncated_hex() |
| 18 | generalized_mgonal(m: int, start_num: int = 0) | — |
| 19 | generalized_centered_pol(m: int, start_num: int = 0) | — |
| 20 | generalized_pronic(start_num: int = 0) | — |
| 21 | triangular() | — |
| 22 | square() | — |
| 23 | pentagonal() | — |
| 24 | hexagonal() | — |
| 25 | heptagonal() | — |
| 26 | octagonal() | — |
| 27 | nonagonal() | — |
| 28 | decagonal() | — |
| 29 | hendecagonal() | — |
| 30 | dodecagonal() | — |
| 31 | tridecagonal() | — |
| 32 | tetradecagonal() | — |
| 33 | pentadecagonal() | — |
| 34 | hexadecagonal() | — |
| 35 | heptadecagonal() | — |
| 36 | octadecagonal() | — |
| 37 | nonadecagonal() | — |
| 38 | icosagonal() | — |
| 39 | icosihenagonal() | — |
| 40 | icosiheptagonal() | — |
| 41 | icosidigonal() | — |
| 42 | icositrigonal() | — |
| 43 | icositetragonal() | — |
| 44 | icosipentagonal() | — |
| 45 | icosihexagonal() | — |
| 46 | icosioctagonal() | — |
| 47 | icosinonagonal() | — |
| 48 | triacontagonal() | — |
| 49 | centered_triangular() | — |
| 50 | centered_pentagonal() | — |
| 51 | centered_hexagonal() | — |
| 52 | centered_heptagonal() | — |
| 53 | centered_octagonal() | — |
| 54 | centered_nonagonal() | — |
| 55 | centered_decagonal() | — |
| 56 | centered_hendecagonal() | — |
| 57 | centered_tridecagonal() | — |
| 58 | centered_tetradecagonal() | — |
| 59 | centered_pentadecagonal() | — |
| 60 | centered_hexadecagonal() | — |
| 61 | centered_heptadecagonal() | — |
| 62 | centered_octadecagonal() | — |
| 63 | centered_nonadecagonal() | — |
| 64 | centered_icosagonal() | — |
| 65 | centered_icosihenagonal() | — |
| 66 | centered_icosidigonal() | — |
| 67 | centered_icositrigonal() | — |
| 68 | centered_icositetragonal() | — |
| 69 | centered_icosipentagonal() | — |
| 70 | centered_icosihexagonal() | — |
| 71 | centered_icosiheptagonal() | — |
| 72 | centered_icosioctagonal() | — |
| 73 | centered_icosinonagonal() | — |
| 74 | centered_triacontagonal() | — |
| 75 | truncated_centered_triangular() | — |
| 76 | truncated_centered_square() | — |
| 77 | truncated_centered_pentagonal() | — |
| 78 | generalized_pentagonal() | — |
| 79 | generalized_hexagonal() | — |
Sequences in PlaneFigurateNum: 79