Figurate numbers have played a significant role in modern recreational mathematics.

Later, every control function of the human brain and body was found to originate with these figurate molecules.

The most common use in this sense is an odd integer especially when seen as a figurate number between square numbers.

These are one type of 2-dimensional figurate numbers.

The gnomon is the piece added to a figurate number to transform it to the next larger one.

Many other figurate numbers can be expressed as Ehrhart polynomials.

Triangular numbers have a wide variety of relations to other figurate numbers.

The Pythagorean tradition spoke also of so-called polygonal or figurate numbers.

Some kinds of figurate number were discussed in the 16th and 17th centuries under the name "figural number".

A dodecahedral number is a figurate number that represents a dodecahedron.

In modern mathematics, figurate numbers are formalized by the Ehrhart polynomials.

An octagonal number is a figurate number that represents an octagon.

Figurate numbers representing pentagons (including five) are called pentagonal numbers.

Figurate numbers were a concern of Pythagorean geometry.

Figurate erythema is a form of erythema that presents in a ring or an arc shape.

Where is individuality, personality if the soul of man is no more than a collection of figurate molecules?"

A pyramidal number is a figurate number that represents a pyramid with a base and a given number of sides.

Pentatope numbers belong in the class of figurate numbers, which can be represented as regular, discrete geometric patterns.

A figurate number is a number that can be represented as a regular and discrete geometric pattern (e.g. dots).

As a figurate number, 204 is a nonagonal number and a square pyramidal number (the sum of the first eight squares).

The diagonals of Pascal's triangle contain the figurate numbers of simplices:

Generating whichever class of figurate numbers the Pythagoreans studied using gnomons is also attributed to Pythagoras.

The modern study of figurate numbers goes back to Fermat, specifically the Fermat polygonal number theorem.

One is the first figurate number of every kind, such as triangular number, pentagonal number and centered hexagonal number, to name just a few.

One half also figures in the formula for calculating figurate numbers, such as triangular numbers and pentagonal numbers: