Perfect porcupines: ideal networks for low frequency gravitational wave astronomy

Understand

Perfect porcupines are specially-configured networks of gravitational wave detectors, in the limit that the individual detectors and the distances between them are short relative to the gravitational wavelengths of interest.

• They have beautiful properties which make them ideal gravitational wave telescopes.
• I present the most important cases explicitly.
• For a network of one-arm detectors (like "AGIS" \cite{Dimopoulos_et_al}), the minimal perfect porcupine has 6 detectors, oriented along the 6 diameters of a regular icosahedron.