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Christmas Tree Calculator

One Angle Christmas Tree

Cut list for any height

Enter the height you want. Every piece length and saw setting follows from it. Tap a piece in the drawing, or a row in the list, to see where it goes.

Your tree

Thickness is the line you see from the front; width becomes the tree's depth.

Front view, to scale. Each colour is one kind of piece; darker patches are where tiers overlap face to face. Tap a piece to highlight it in the list.
QtyPieceLong edgeShort edgeCuts

How the numbers are made

  1. Every sloped piece leans at 90° minus the mitre angle, so the tip angle is twice the mitre. Classic 30° gives 60° sides.
  2. Each tier glues to the outside face of the one below, with the overlap you set, so its bottom end sticks out as the branch tip and the tree steps out by one strip thickness per tier. That is the only place thickness changes the shape.
  3. The long tip piece runs to the point; the short one butts against its inside face, which is why it is one thickness ÷ sin(tip angle) shorter.
  4. The base sits between the bottom legs' inside faces, flush with their bottoms. The trunk glues underneath and is what touches the floor.
  5. Width follows from height. A 30° tree is always wider than it is tall; Slim gives the proportions of a fir rather than a spruce.