2.2.4 Array and Torus

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2.2.4 Array and Torus

The extensions of pipe and ring into a second and third dimension are array and torus. The 2d versions of these topologies can by produced by means of a tensor product of two pipes/rings.

2D array $P = P_x \cdot P_y$

$\begin{figure}\unitlength0.06\textwidth \begin{picture}(11,13) % Box [-1,1]x[-1,... ...}} \put(10,5){\line(0,1){1}} \put(10,8){\line(0,1){1}} \end{picture}\end{figure}$

$\bullet$ 4 links per node.
$\bullet$ Diameter:

(= 2 pipes).
$\bullet$ Hardware :
MasPar, Parsytec Xplorer.

3D array $P = P_x \cdot P_y \cdot P_z$

$\begin{figure}\unitlength0.06\textwidth \begin{picture}(12,13) % Box [-1,1]x[-1,... ...ut(8,11){\line(1,1){1.5}} \put(11,11){\line(1,1){1.5}} \end{picture}\end{figure}$

$\bullet$ 6 links per node.
$\bullet$ Diameter:

$\bullet$ Hardware :
Parsytec Power-GC

The illustrations of 2d and 3d torus are similar to the figures above extended by the cyclic connections.

2D torus

$\bullet$ 4 links per node.
$\bullet$ Diameter:

3D-Torus

$\bullet$ 6 links per node.
$\bullet$ Diameter:

Gundolf Haase 2000-03-20