LeírásSemicubical parabola.svg	English: Semicubical parabolas with differing values of ${\displaystyle a}$ Čeština: Semikubické paraboly pro různé hodnoty ${\displaystyle a}$
Dátum	2006. december 14.
Forrás	own work, inspired by en:Image:Semicubp.PNG
Szerző	Petr Kadlec
Engedély (Fájl újrafelhasználása)	Public domainPublic domainfalsefalse Ez a kép közkincs, mert nincs egyéni-eredeti jellege.

 

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).