Centered triangular number
Centered figurate number that represents a triangle with a dot in the center / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Centered triangular number?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other dots surrounding the center in successive equilateral triangular layers.
This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. (June 2014) |
This is also the number of points of a hexagonal lattice with nearest-neighbor coupling whose distance from a given point is less than or equal to .
The following image shows the building of the centered triangular numbers by using the associated figures: at each step, the previous triangle (shown in red) is surrounded by a triangular layer of new dots (in blue).