DescriptionSemicubical parabola.svg	English: Semicubical parabolas with differing values of ${\displaystyle a}$ Čeština: Semikubické paraboly pro různé hodnoty ${\displaystyle a}$
Date	14 December 2006
Source	own work, inspired by en:Image:Semicubp.PNG
Author	Petr Kadlec
Permission (Reusing this file)	Public domainPublic domainfalsefalse This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.

 

W3C-validity not checked.

Source

Created in gnuplot 4.0 with the following commands:

set parametric
set xrange [-3:10]
set yrange [-10:10]
set trange [-3.2:3.2]
set zeroaxis
set key top left
set xtics 2
set ytics 2
set samples 1000

set terminal svg size 3900 6000 dynamic fsize 120
set output 'Semicubical_parabola.svg'

plot fx(t) = t**2, fy(t) = a*t**3, a = 1.0/3, fx(t), fy(t) lw 10 smooth unique title "a = 1/3", a=1, fx(t), fy(t) lw 10 smooth unique title "a = 1", a=2, fx(t), fy(t) lw 10 smooth unique title "a = 2"

I afterwards tweaked it a tiny bit in Inkscape (because AFAIK, gnuplot works in integer coordinates only, so the image needed to be “supersampled”, and therefore all lines were thin).