𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Enumerating Cube Tilings

✍ Scribed by Mathew, K. Ashik; Östergård, Patric R. J.; Popa, Alexandru

Book ID
121594476
Publisher
Springer
Year
2013
Tongue
English
Weight
199 KB
Volume
50
Category
Article
ISSN
0179-5376

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Tiled partial cubes
Tiled partial cubes
✍ Boštjan Brešar; Wilfried Imrich; Sandi Klavžar; Henry Martyn Mulder; Riste Škrek 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

## Abstract In the quest to better understand the connection between median graphs, triangle‐free graphs and partial cubes, a hierarchy of subclasses of partial cubes has been introduced. In this article, we study the role of tiled partial cubes in this scheme. For instance, we prove that almost‐me

Tiling space with notched cubes
Tiling space with notched cubes
✍ James H. Schmerl 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 729 KB

Stein (1990) discovered (n -l)! lattice tilings of R" by translates of the notched n-cube which are inequivalent under translation. We show that there are no other inequivalent tilings of IF!" by translates of the notched cube.

The notched cube tiles Rn
The notched cube tiles Rn
✍ Sherman Stein 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Herb Holden once observed that packing material consisting of copies of a cube of side 2 inches from which a unit corner cube is removed tiles R3 by translates. In [l] Conlan generalized this fact, proving that a polytope obtained from a unit cube in R3 by deleting a corner box of which two dimensio