Centered figurate number that counts points in a three-dimensional pattern
Centered cube number
35 points in a body-centered cubic lattice, forming two cubical layers around a central point.
Total no. of terms
Infinity
Subsequence of
Polyhedral numbers
Formula
First terms
1, 9, 35, 91, 189, 341, 559
OEIS index
A005898
Centered cube
A centered cube number is a centered figurate number that counts the points in a three-dimensional pattern formed by a point surrounded by concentric cubical layers of points, with i2 points on the square faces of the ith layer. Equivalently, it is the number of points in a body-centered cubic pattern within a cube that has n + 1 points along each of its edges.
A centeredcubenumber is a centered figurate number that counts the points in a three-dimensional pattern formed by a point surrounded by concentric cubical...
higher-dimensional spaces is called a hypercube. The cube has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex...
geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3). It is a closed, compact, convex figure whose 1-skeleton consists...
orthogonal projections, centered, on two types of faces: triangles, and squares, correspond to the A2 and B2 Coxeter planes. The snub cube can also be represented...
twelve smaller cubes (of rank +2) centered on the edges of the original cube between cubes of rank +1. Repeat the process on the cubes of ranks 1 and...
A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center...
A centered nonagonal number (or centered enneagonal number) is a centered figurate number that represents a nonagon with a dot in the center and all other...
number Centered polygonal numberCentered square numberCentered pentagonal numberCentered hexagonal number Tetrahedral number Pyramidal number Triangular...
(abbreviated cP and alternatively called simple cubic) Body-centered cubic (abbreviated cI or bcc) Face-centered cubic (abbreviated cF or fcc) Note: the term fcc...
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center...
combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other...
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