Abstandsformel-Rechner (3D) — Formel

Distance Formula

3D Distance

d = sqrt((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²)

2D Distance

d = sqrt((x₂-x₁)² + (y₂-y₁)²)

Both are generalizations of the Pythagorean theorem.

Manhattan Distance

Also called taxicab distance: d = x₂-x₁+y₂-y₁+z₂-z₁

This is the distance when you can only move along grid lines (like streets in Manhattan).

Lösungsbeispiel

Distance from (1, 2, 3) to (4, 6, 8).

  1. dx = 3, dy = 4, dz = 5
  2. 3D distance = √(9 + 16 + 25) = √50 ≈ 7.0711
  3. 2D distance = √(9 + 16) = √25 = 5
  4. Manhattan distance = 3 + 4 + 5 = 12