Name
Abstract | ||
|---|---|---|
It is well-known that a regular n-gon can be embedded in the unit lattice of ℝ
m
if and only if m ≥ 2 and n = 4; or m ≥ 3 and n = 3 or 6. In this paper we consider equilateral polygons that can be embedded in the unit lattice of ℝ
k
. These are called lattice equilateral polygons. We show that for any ε > 0, there exists a lattice equilateral 2n-gon in ℝ2 such that the difference between the values of the maximum internal angle and the minimum internal angle is less than ε. We also show a similar result for lattice equilateral 3n-gons in ℝ3 and other related results.
|
Year | DOI | Venue |
|---|---|---|
1998 | 10.1007/978-3-540-46515-7_25 | JCDCG |
Keywords | Field | DocType |
unit lattices,equilateral polygons | Equilateral triangle,Combinatorics,Polygon,Lattice (order),Internal and external angle,Lattice (group),Circle packing in an equilateral triangle,Equilateral polygon,Physics | Conference |
Volume | ISSN | ISBN |
1763 | 0302-9743 | 3-540-67181-1 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Toshinori Sakai | 1 | 54 | 9.64 |