File:Identical constant-width curves side-by-side don't necessarily fit together.svg

Description

If you juxtapose two constant-width curves stroked along an identically-shaped path side-by-side, they don't necessarily fit tightly together. At left, there's are a red curve and blue curve both made from four circle quadrants, where the radius of the circle is the same as the width of the stroke. If the width of the stroked line, and the radius along the center of the line, is 20, then the radius along the outside edge of the line is 30 (radius plus half line-width) and the radius along the inside edge of the line is 10 (radius minus half line-width). A circular arc with radius 30 cannot fit inside a circular arc with radius 10, so the two lines do not fit tightly together, as seen.

If the two lines are moved more closely together, as at right, then you get areas of overlap between the two lines (shown in purple) and also still gaps between the two lines (unless the two lines are moved so close to each other that they overlap almost everywhere).
Date
Source Own work
Author AnonMoos
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Identical%20constant-width%20curves%20side-by-side%20don't%20necessarily%20fit%20together.svgCategory:PD-self#Identical%20constant-width%20curves%20side-by-side%20don't%20necessarily%20fit%20together.svg
SVG development
InfoField
 
The SVG code is valid.
Category:Valid SVG created with Text Editor:Diagrams
 
This diagram was created with a text editor.
Category:SVG geometry
Category:PD-self Category:SVG geometry Category:Self-published work Category:Valid SVG created with Text Editor:Diagrams