<ruby id="d9npn"></ruby>

<sub id="d9npn"><progress id="d9npn"></progress></sub>

<nobr id="d9npn"></nobr>

<rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

<th id="d9npn"><meter id="d9npn"></meter></th>

# Questions tagged [discrete-geometry]

Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

1,096 questions
Filter by
Sorted by
Tagged with
0answers
42 views

### The scutoid as a noninscribable polyhedron

I have no a good backround in combinatorial geometry but I would like to ask next question, because I think that it is interesting. I know from the book , section B18 and the post Combinatorially ...
0answers
56 views

### Is there any edge- but not vertex-transitive polytope in $d\ge 4$ dimensions?

I consider convex polytopes $P\subset\Bbb R^d$. The polytope is called vertex- resp. edge-transitive, if any vertex resp. edge can be mapped to any other by a symmetry of the polytope. I am looking ...
1answer
86 views

1answer
60 views

### Regular triangulations of star-convex polyhedra with given boundary

Given an $n$-dimensional star-convex polyhedron $P\subset \mathbb{R}^n$ with simplicial facets, is it always possible to construct a regular triangulation $K$ of $P$ which does not subdivide the ...
0answers
45 views

### On non-convex polygons that tile convex polygons

Polyominoes are rectilinear polygons - all angles are 90 or 270 degrees. It is well-known that among non-convex polyominoes are several whose copies can neatly tile rectangle. And for several such '...
1answer
299 views

### Why does $\sqrt 5$ occur in manageable situations of these scenarios?

Banach-Mazur distance between $P_5$ and $P_3$ is $d(P_5,P_3)=1+\frac{\sqrt5}2$ where $P_n$ is regular polygon in $n$ sides https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7968198&tag=...
1answer
129 views

### Point distributions in unit square which minimize E[1 / distance]

Choose $n$ points $p_1,\ldots,p_n$ in the unit square $[0,1]^2\subset\mathbb{R}^2$ such that $D:=\mathop{\sum}\limits_{1\le i<j\le n}\frac{1}{dist(p_i,p_j)}$ is minimized, where $dist(p_i,p_j)$ is ...
0answers
32 views

### Lattices with no roots and spread out shells

I am looking for lattices with the following properties: The lattice has no roots. The norm (squared length) of the second shortest vectors should be at least twice as large as the norm of the ...
0answers
120 views

### The drawn diagonals divide the $N\times N$ board into $K$ regions. For each $N$, determine the smallest and the largest possible values of $K$

Let $N$ be a positive integer. In each of the $N^2$ unit squares of an $N\times N$ board, one of the two diagonals is drawn. The drawn diagonals divide the $N\times N$ board into $K$ regions. For each ...
0answers
95 views

### Aperiodic tile with rational area

Margulis and Mozes constructed aperiodic tiling system on the hyperbolic plane consisting of a single tile(hyperbolic polygon) whose area (or each inner angle) is irrational multiple of $\pi$. Having ...
3answers
448 views

### Two queries on triangles, the sides of which have rational lengths

Let us define a "rational triangle" as one in the Euclidean plane, with lengths of all sides rational. We are aware that a positive integer is called "congruent" only if it is the area of a right ...

15 30 50 per page
特码生肖图
<ruby id="d9npn"></ruby>

<sub id="d9npn"><progress id="d9npn"></progress></sub>

<nobr id="d9npn"></nobr>

<rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

<th id="d9npn"><meter id="d9npn"></meter></th>

<ruby id="d9npn"></ruby>

<sub id="d9npn"><progress id="d9npn"></progress></sub>

<nobr id="d9npn"></nobr>

<rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

<th id="d9npn"><meter id="d9npn"></meter></th>

云南时时娱乐平台 金冠彩票是真是假的 时时历史记录查询 四川时时号码 幸运飞艇开奖记录20190220 四川金7乐app官方下载 海王捕鱼刷金币软件 河南快赢481规则 新时时兑奖规则 快乐时时记录查询