Geometria
Dilation Calculator: Transform Geometric Shapes
Easily calculate and visualize dilation of geometric objects with our online calculator. Enter object points, center of dilation, and scale factor to see the transformation instantly.
Input Parameters
Enter the object points, center of dilation, and scale factor to calculate dilation.
Format: (x1,y1),(x2,y2),...
Format: (x,y)
Dilated Object Points
Dilation Visualization
Understanding Dilation
In geometry, dilation is a transformation that enlarges or shrinks a geometric figure, called the object, with respect to a fixed point called the center of dilation. The ratio by which the figure is scaled is called the scale factor.
Formula
If P is a point on the object and C is the center of dilation, the dilated point P' is given by:
P' = C + (P - C) * scale factorUse Cases
- Scaling images and graphics in computer graphics.
- Creating similar figures in geometry.
- Adjusting sizes in architectural designs and blueprints.
Source: Wikipedia - Dilation (geometry)