Perspective Calculator — Vanishing Points & Horizon
Calculate vanishing point positions and horizon line placement for perspective drawing.
How We Calculate This
This calculator determines vanishing point positions based on your paper size and perspective type.
Key principles
- Horizon line: Set as a percentage from the bottom of the paper — this is your eye level
- One-point VP: A single point on the horizon line, positioned by horizontal percentage
- Two-point VPs: Two points on the horizon, spread apart by the specified percentage of paper width and placed symmetrically about your chosen centre
- Recommended viewing distance: The distance at which the picture width exactly fills the cone of vision, D = width ÷ (2 × tan(cone ÷ 2)) — about 0.87 × width for a 60° cone
- Station point distance (two-point): Where you should stand for the construction to read correctly — the two vanishing points subtend a right angle at the viewer, so the distance is the geometric mean √(d₁ × d₂) of the two centre-to-VP distances
All vanishing points sit on the horizon line. The cone of vision is a fixed property of human sight — about 60° total, 30° each side of your line of sight. It does not change with where you place the horizon; everything inside the cone looks natural, and anything outside it begins to distort. Spreading the vanishing points wider (or standing further back) keeps your subject comfortably inside the cone.
Frequently Asked Questions
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Last updated: February 2026
All calculations are estimates. Always verify quantities before purchasing materials.