Reciprocating razor having blades linked to facilitate oppositely directed movement

A shaving razor comprising:

• a first blade assembly having a first razor blade with a first cutting edge, the first blade assembly displaceable along a first path substantially parallel to the first cutting edge;
• a second blade assembly having a second razor blade with a second cutting edge, the second blade assembly deployed to cut in a same direction as the first blade assembly and to be displaceable along a second path substantially parallel to the second cutting edge;
• a first linkage coupling together a first end of the first blade assembly with a first end of the second blade assembly;
• and
• a second linkage coupling together a second end of the first blade assembly with a second end of the second blade assembly;
• wherein the first and second linkages are configured such that a displacement of the first blade assembly in a first direction along the first path causes a displacement of the second blade assembly in an opposite direction along the second path.