Hypercube (EntityClass, 17)

(Difference between revisions)

Revision as of 13:55, 17 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!))

Revision as of 22:41, 15 June 2007 (view source) Keiji (Talk \| contribs) m ← Older edit		Revision as of 13:55, 17 June 2007 (view source) Keiji (Talk \| contribs) m Newer edit →
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-	{{generalization-dimensions\|[[Point (object)]] • [[Line (object)]] • [[Square]] • [[Cube]] • [[Tesseract]]}}	+	{{generalization-dimensions\|[[Point (object)]] • [[Line (object)]] • [[Square]] • [[Cube]] • [[Tesseract]] • [[Pentacube]]}}

	== Number of hypercells in a hypercube ==		== Number of hypercells in a hypercube ==