The Hoher Eichham (also Hocheichham), at 3,371 m (AA), is the most dominant mountain in the southeastern part of the Venediger Group in the High Tauern in Austria. Four arêtes radiate from its summit towards the north, east, south and southwest. To the southeast is the glacier of Nilkees and, to the northeast, is the Hexenkees. The Großer Eichhamkees to the northwest and the Kleiner Eichhamkees to the southwest have shrunk to insignificant slabs of ice. On the North Arête is a rock tower, the Eichhamturm (3,255 m (AA)). Along the continuation of the arête lies the Großer Hexenkopf (3,313 m (AA)), which is roughly 600 metres as the crow flies from the Hoher Eichham. On the East Arête is the Niederer Eichham ("Lower Eichham", 3,247 m (AA)). From this subpeak a ridge branches southeast linkin