What is the topology (2D or 3D representation) that corresponds to the following description:
We have $K$ pairs of points, where pair $k$ is denoted as $(P_k,Q_k)$. We suppose that the distance between $P_k$ and $Q_k$ is the same (denoted by $d_1$) $\forall k= 1,...,K$. In addition, we assume that the distance between $P_k$ and $Q_i$ is the same (denoted by $d_2$) $\forall k,i$ with $i \ne k$. In other words, all the direct distances are equal to $d_1$ and all the cross distances are equal to $d_2$.
Note that $d_1 > d_2$.
PS: Any suggestion about an additional tag is welcome!