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Improvementv2.61

Polygon: Inscribed or Circumscribed

The Polygon sketch tool now has an Inscribed or Circumscribed choice. Circumscribed draws the polygon around its circle, so the radius you type is the distance across flats ÷ 2, as for a hex nut.

After: An inscribed octagon, then a circumscribed hexagon with its incircle
Before: An inscribed octagon, then a circumscribed hexagon with its incircle
BeforeAfter
Inscribed (the old behaviour) and Circumscribed

Inscribed works as before: every vertex sits on the construction circle. Circumscribed keeps an incircle tangent to every side at its midpoint, so a hexagon with radius 30 measures 60 mm across flats.

The relations keep the polygon regular as you drag it (a square stays square, not a rhombus) with the same degrees of freedom as before. Changing Sides keeps the mode, and every edit is one undo step. The agent can draw a circumscribed polygon too.

Checked against closed form: a circumscribed hexagon with apothem r has area 2√3·r², and extruded 10 mm at r = 20 it builds to 13 856.4 mm³. Core parity is now 161 of 239.

Added
  • Polygon Circumscribed option
Shipped in
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