Hypercube (EntityClass, 17)

(Difference between revisions)

Revision as of 22:33, 15 June 2007

		Dimension of hypercube						Formula
		0	1	2	3	4	5	Formula
http://fusion-global.org/share/dimhyc_rotated.png	0	1	2	4	8	16	32	2ⁿ
	1	0	1	4	12	32	80	n2^n-1
	2	0	0	1	6	24	80	n(n-1)2^n-22^-1
	3	0	0	0	1	8	40	n(n-1)(n-2)2^n-36^-1
	4	0	0	0	0	1	10	n(n-1)(n-2)(n-3)2^n-424^-1
	5	0	0	0	0	0	1	n/a
	Sum	1	3	9	27	81	243	3ⁿ

Number of k-cubes in an n-cube: 2^n-kn!/(k!(n-k!))

@@ Line 1: / Line 1: @@
-A '''hypercube''' is an [[n-dimensional]] analog to a [[cube]]. Hypercubes include the [[point (object)|point]], [[line (object)|line]], [[square]], [[cube]] and [[tesseract]].
+{{generalization-dimensions|[[Point (object)]] &#x2022; [[Line (object)]] &#x2022; [[Square]] &#x2022; [[Cube]] &#x2022; [[Tesseract]]}}
-== Equations ==
+== Number of hypercells in a hypercube ==
-=== Number of hypercells in a hypercube ===
 {|cellpadding="14" cellspacing="0" width="100%"