SmtC: Show me the Code!

SmtC: Show me the Code

Ole Peter Smith

Instituto de Matemática e Estatística

Universidade Federal de Goiás

http://www.olesmith.com.br

Other Curves

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Piet Hein

< Descartes | Super Ellipsis | Rosettes >

Super Circles and Super Ellipsis

Formulas

${\underset{―}{r}}^{'} (t) = -$
${\underset{―}{r}}^{″} (t) = -$	${\hat{\underset{―}{r}}}^{'} (t) = -$
$v (t)^{2} = {\underset{―}{r}}^{'} (t) \cdot {\underset{―}{r}}^{'} (t)$	$D (t) = {\underset{―}{r}}^{″} (t) \cdot {\underset{―}{\hat{r}}}^{'} (t)$
$\underset{―}{t} (t) = \frac{-}{\sqrt{{\underset{―}{r}}^{'} (t) \cdot {\underset{―}{r}}^{'} (t)}} \cdot$	$\underset{―}{n} (t) = \frac{-}{\sqrt{{\underset{―}{r}}^{'} (t) \cdot {\underset{―}{r}}^{'} (t)}} \cdot$
$ψ (t) = \frac{1}{φ (t)}$	$φ (t) = \frac{1}{ψ (t)}$
$κ (t) = \frac{{\underset{―}{r}}^{″} (t) \cdot {\underset{―}{\hat{r}}}^{'} (t)}{({\underset{―}{r}}^{'} (t) \cdot {\underset{―}{r}}^{'} (t))^{3 / 2}}$	$ρ (t) = \frac{({\underset{―}{r}}^{'} (t) \cdot {\underset{―}{r}}^{'} (t))^{3 / 2}}{({\underset{―}{r}}^{″} (t) \cdot {\underset{―}{\hat{r}}}^{'} (t)}$
$\underset{―}{c} (t) = -$
${\underset{―}{c}}^{'} (t) = -$

PDF: Superellipsis

Parameters

Attr	Name	Default	Current	Values
a	$a$	1.000000	1.0	1.0
b	$b$	1.000000	2.0	2.0
rho	$ρ$	0.250000	-

Settings

Components

Browse SVGs: Superellipsis

Legends 4_Evolute 3_d2R 5_dEvolute 2_d1R 1_d0R

Superellipsis: Num a=1.0 b=2.0 ρ=0.1

Legends 12_Phi 11_Psi 02_Det 14_Rho 01_v2 13_Kappa

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