OurBigBook.com $£ Sponsor 中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件邓家贵、低端人口、西藏骚乱

Hypercube

square, cube. 4D case known as tesseract.

Convex hull of all

{- 1, 1}^{D}

(Cartesian product power) D-tuples, e.g. in 3D:

( 1,  1,  1)
( 1,  1, -1)
( 1, -1,  1)
( 1, -1, -1)
(-1,  1,  1)
(-1,  1, -1)
(-1, -1,  1)
(-1, -1, -1)

From this we see that there are

2^{D}

Two vertices are linked iff they differ by a single number. So each vertex has D neighbors.

Table of contents 78 1
- Hyperrectangle Hypercube 6

 Ancestors (7)

 Incoming links (2)