Geometric Dilation Calculator
Visualize how shapes transform with dilation.
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)