A figurate number, also (but mostly in texts from the 1500 and 1600s) known as a figural number, is a number that can be represented by a regular geometrical arrangement of equally spaced points. If the arrangement forms a regular polygon, the number is called a polygonal number. The polygonal numbers illustrated above are called triangular, square, pentagonal, and hexagonal numbers, respectively. Figurate numbers can also form other shapes such as centered polygons, L-shapes, three-dimensional solids, etc.
biquadratic number | centered cube number | centered pentagonal number | centered polygonal number | centered square number | centered triangular number | cubic number | decagonal number | figurate number triangle | gnomonic number | heptagonal number | heptagonal pyramidal number | hexagonal number | hexagonal pyramidal number | hex number | hex pyramidal number | multichoose | nexus number | octagonal number | octahedral number | pentagonal number | pentagonal pyramidal number | pentatope number | polygonal number | pronic number | pyramidal number | rhombic dodecahedral number | square number | square pyramidal number | stella octangula number | tetrahedral number | triangular number | truncated octahedral number | truncated tetrahedral number
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