3D Midpoint Calculator

Calculate the midpoint between two points in three-dimensional space

Input Points

Calculation Results

Midpoint Calculation

M = ((X₁ + X₂)/2, (Y₁ + Y₂)/2, (Z₁ + Z₂)/2)

Where:
X₁, Y₁, Z₁ = Coordinates of the first point
X₂, Y₂, Z₂ = Coordinates of the second point
M = Midpoint coordinates

Result

X-coordinate:

Y-coordinate:

Z-coordinate:

Verification

The midpoint is exactly halfway between the two points in all dimensions.

3D Midpoint Calculator Usage Guide

Learn how to use the 3D midpoint calculator and understand its mathematical principles

What is a 3D Midpoint?

The midpoint between two points in three-dimensional space is the point that is exactly halfway between them. If you have two points P₁(x₁, y₁, z₁) and P₂(x₂, y₂, z₂), the midpoint M is calculated as:

M = ((X₁ + X₂)/2, (Y₁ + Y₂)/2, (Z₁ + Z₂)/2)

This formula works in three dimensions by finding the average of each corresponding coordinate.

How to Use This Calculator

  1. Enter the X, Y, and Z coordinates for the first point (P₁)
  2. Enter the X, Y, and Z coordinates for the second point (P₂)
  3. Click the "Calculate" button to compute the midpoint
  4. The results will display the X, Y, and Z coordinates of the midpoint

Example

Let's say you have two points:

  • P₁ = (1, 2, 3)
  • P₂ = (4, 6, 8)

Using our formula:

M = ((1+4)/2, (2+6)/2, (3+8)/2) = (2.5, 4, 5.5)

Enter these values in the calculator to verify the result.

Applications

3D midpoint calculations are used in various fields including:

  • Computer graphics and modeling
  • 3D geometry and architecture
  • Computer-aided design (CAD)
  • Game development
  • Geographic information systems (GIS)