File:Simple 4-quadrant heart curve.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 625 × 600 pixels, file size: 2 KB)

Captions

Captions

Add a one-line explanation of what this file represents
Description

Mathematically simple heart shape. Some have come up with advanced and complex algebraic or trigonometric equations to approximate the heart/love symbol. This image instead uses two simple perpendicular straight lines and two partial circular arcs. Mathematically, x and y are related by the following four equations (one applying in each quadrant):

Ist quadrant (x≥0,y≥0)
(x–3.3030615433)2+(y–2.6969384567)2=14.5469540784
IInd quadrant (x≤0,y≥0)
(x+3.3030615433)2+(y–2.6969384567)2=14.5469540784
IIIrd quadrant (x≤0,y≤0)
x+y= –6
IVth quadrant (x≥0,y≤0)
y–x= –6

Where the approximate constants in the first two equations have the following exact values:

14.5469540784=144/(√2+√3)2
3.3030615433=(√108)/(√2+√3)
2.6969384567=6–((√108)/(√2+√3))

(The first of these is the square of the radius of the circular arcs.)

There's a 90° corner at coordinate point (0,–6) and a 60° corner at (0,4.6039619279).

Where 4.6039619279=6(1–((√3–1)/(√2+√3)))

The width of the area enclosed by the curve is 14.2342169713=12((2+√3)/(√2+√3)), while the height is 12.510985399=12(1+((1–√.75)/(√2+√3)))
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.
Other versions

For images using this heart shape, see File:Heart-padlock.svg and related images.

Alternative mathematically-defined heart shapes:

SVG development
InfoField
 
The SVG code is valid.
 
This vector image was created with a text editor.
 
 This file uses embedded text that can be easily translated using a text editor.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current08:10, 31 July 2014Thumbnail for version as of 08:10, 31 July 2014625 × 600 (2 KB)AnonMoos (talk | contribs){{Information |Description=Mathematically simple heart shape. Some have come up with advanced and complex algebraic or trigonometric equations to approximate the heart/love symbol. This image instead uses two simple straight lines and partial circula...

You cannot overwrite this file.

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Simple_4-quadrant_heart_curve.svg&oldid=841223938"