Let T (n) denote the number of n-simplices in a minimum cardinality decomposition of the n-cube into n-simplices. For n ≥ 1, we show that T (n) ≥ H (n), where H (n) is the ratio of the hyperbolic volume of the ideal cube to the ideal regular simplex. Explicit bounds for T (n) are tabulated for n ≤
✦ LIBER ✦
Lower bounds on cube simplexity
✍ Scribed by Robert B. Hughes
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 856 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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