Craft · 6 pages · 12 min

Why a sharp edge is a geometry

Sharpness is two faces meeting in a keen line, not a property floating free of shape.

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From the opening

A sharp edge is the intersection of two surfaces at a small included angle, finished so the meeting is a line rather than a rounded ridge. The steel must be able to hold that line, but the way it enters the wood comes from the wedge and from how keen the apex is. The opening covers two faces meet in a line, a rounded apex is dull, and a thinner wedge enters easier.

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Inside

  • Two faces meet in a line
  • A rounded apex is dull
  • A thinner wedge enters easier
  • A burr is not the apex
  • Where the idea stops applying
  • A distinction worth keeping

Sources

  • Wedge geometry of a cutting edge
  • Honing an apex and removing the wire edge