几何题求解. 若给出正确答案,俺请吃饭,俺请吃饭!

老何请指明目前最佳答案是哪一贴。懒得爬楼了。
目前为止最好的答案是 55 楼的。 23 块板。

1 可以证明这个正方形是稳定的。 要两页纸

2 但要证明这是最少的,难,很难!

3 要找出更少木板稳定正方形的,也很难

可以在 Google 上搜一搜!
 
目前为止最好的答案是 55 楼的。 23 块板。

1 可以证明这个正方形是稳定的。 要两页纸

2 但要证明这是最少的,难,很难!

3 要找出更少木板稳定正方形的,也很难

可以在 Google 上搜一搜!

好题啊。最近有点忙。不过一定打持久战啃这题!

先下线了。
 
老何请客,先报名。

9年级后的东西,咱不会做。
 
有人请客啊, 哈哈, 俺也要凑热闹
 
Just to quickly type down some notes for myself and to establish a semi-serious starting point of effort on this problem. :)
===

0.0. The object we consider belongs to a special kind of graphs which we shall define later. Here, whenever speaking of graphs, we refer to simple, undirected, connected graphs.
0.1. A graph is said to triangulated if any cycle of size no less than 4 has a chord.
0.2. A graph may be embedded in an Euclidean space, namely, having each of its vertices associated with a coordinate in a Euclidean space. In particular, the Euclidean space we consider is going to be R^2, the two dimensional vector space over the reals. In this case, a graph becomes a geometric graph.
0.3. We are interested in a particular kinds of geometric graphs, called planar straight-line graphs, in which each edge in the graph is a straight line segment in R^2. From here on, whenever speaking of graphs, we exclusively refer to planar straight-line graphs in which each edge has length precisely 1.
0.4. Further without loss of generality, we will assume that in a graph, there always exists a vertex whose coordinate is (0,0), the origin.
0.5. Two graphs are said to be equivalent, if it is possible to rotate/translate/reflect one graph to obtain the other.

Now I am trying to define a notion of "stability", which I call "rigid".
Definition 1. [Rigid] A graph G is said to be rigid if any other graph H that is graph-theoretically isomorphic to G is equivalent to G.

(to be continued ...)
 
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