In a coded map, south-east is called north and north-east is called west. All directions are renamed by the same rule. What is west called?

Explanation

1. 01

   South-east to north is a turn of $135^\circ$ anticlockwise; north-east to west is also $135^\circ$ anticlockwise, so the rule is consistent.

2. 02

   Turn west $135^\circ$ anticlockwise: south-west, south, south-east.

3. 03

   West is called south-east.