User:Menasewi/Equations for sitelen pona glyphs

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This is a list of mathematical equations that graph sitelen pona glyphs. Ideally these should be bounded by the domain and range [-1, 1].

Table of equations

Within an equation, a bracketed list represents plotting the equation for each of the listed values.

Equations for pu glyphs

Word	sitelen pona	Equation	Notes
a	aa
akesi	akesiakesi	$r=1.5$$y=[0.5,1,1.5]\{-2\leq x\leq 2\}$$y=2\{x=[-1,1]\}$
ala	alaala	$\left|x\right|-\left|y\right|+{\frac {\sqrt {-\left|x\right|+1}}{\sqrt {\left|\left|x\right|-1\right|}}}=1$
alasa	alasaalasa
ale / ali	aleale	$\left(x^{2}+y^{2}\right)^{2}-\left(x^{2}-y^{2}\right)=0$	Lemniscate
anpa	anpaanpa
ante	anteante
anu	anuanu
awen	awenawen
e	ee	$-|y|=x+[0,1]$
en	enen	$xy+{\frac {{\sqrt {-\left|x+y\right|+1}}+1}{{\sqrt {\left|-\left|x+y\right|+1\right|}}+1}}=1$
esun	esunesun
ijo	ijoijo	$x^{2}+y^{2}=1^{2}$	Circle
ike	ikeike	$-{\sqrt {1-x^{2}}}$
ilo	iloilo
insa	insainsa
jaki	jakijaki
jan	janjan
jelo	jelojelo
jo	jojo
kala	kalakala	$r=\sin(2\theta +{\frac {2\pi }{4}})\left\{-{\frac {2\pi }{6}}\leq \theta \leq {\frac {2\pi }{6}}\right\}$
kalama	kalamakalama
kama	kamakama
kasi	kasikasi
ken	kenken
kepeken	kepekenkepeken
kili	kilikili
kiwen	kiwenkiwen
ko	koko	$r=\left.{\frac {5+\sin 5\theta }{6}}\right|_{0\leq \theta <2\pi }$
kon	konkon
kule	kulekule
kulupu	kulupukulupu
kute	kutekute
la	lala
lape	lapelape
laso	lasolaso
lawa	lawalawa
len	lenlen
lete	letelete
li	lili	$x=-\left\vert y\right\vert$
lili	lililili	$\left\vert x\right\vert$
linja	linjalinja	$-\pi <\sin(x)<\pi$
lipu	lipulipu	$\left|x+y\right|+\left|x-y\right|=2$	Square
loje	lojeloje
lon	lonlon
luka	lukaluka
lukin	lukinlukin
lupa	lupalupa	$x^{2}+\min \left(y,0\right)^{2}-{\frac {{\sqrt {-y+1}}+1}{{\sqrt {\left|-y+1\right|}}+1}}=0$
ma	mama
mama	mamamama
mani	manimani
meli	melimeli
mi	mimi
mije	mijemije
moku	mokumoku
moli	molimoli	$x^{2}+y^{2}=4^{2}$$\left\vert y\right\vert =\left\vert x+2\right\vert \{-3\leq x\leq -1\}$ $\left\vert y\right\vert =\left\vert x-2\right\vert \{3\geq x\geq 1\}$
monsi	monsimonsi
mu	mumu
mun	munmun
musi	musimusi
mute	mutemute	$x=[-1,0,1]$
nanpa	nanpananpa
nasa	nasanasa	$r=a^{-\theta }$
nasin	nasinnasin
nena	nenanena	$x^{2}+\max \left(y,0\right)^{2}-{\frac {{\sqrt {y+1}}+1}{{\sqrt {\left|y+1\right|}}+1}}=0$
ni	nini
nimi	niminimi
noka	nokanoka
o	oo
olin	olinolin
ona	onaona
open	openopen
pakala	pakalapakala
pali	palipali
palisa	palisapalisa
pan	panpan
pana	panapana
pi	pipi
pilin	pilinpilin
pimeja	pimejapimeja
pini	pinipini
pipi	pipipipi
poka	pokapoka
poki	pokipoki
pona	ponapona	${\sqrt {1-x^{2}}}$
pu	pupu
sama	samasama	$\left\vert y\right\vert =1$
seli	seliseli
selo	seloselo
seme	semeseme
sewi	sewisewi
sijelo	sijelosijelo
sike	sikesike	$x^{2}+y^{2}=\left[{\frac {1}{2}},1\right]^{2}$
sin	sinsin
sina	sinasina
sinpin	sinpinsinpin
sitelen	sitelensitelen
sona	sonasona
soweli	sowelisoweli
suli	sulisuli	$\left\vert x\right\vert$
suno	sunosuno
supa	supasupa
suwi	suwisuwi
tan	tantan
taso	tasotaso
tawa	tawatawa
telo	telotelo
tenpo	tenpotenpo
toki	tokitoki
tomo	tomotomo
tu	tutu
unpa	unpaunpa	$\left.\left({\frac {\sin t+2\sin 2t}{3}},{\frac {\cos t-2\cos 2t}{3}}\right)\right|_{0\leq t<2\pi }$	Trefoil knot
uta	utauta
utala	utalautala
walo	walowalo
wan	wanwan
waso	wasowaso
wawa	wawawawa
weka	wekaweka
wile	wilewile

Equations for ku glyphs

Word	sitelen pona	Equation	Notes
epiku	epikuepiku
jasima	jasimajasima
kijete­san­takalu	kijetesantakalukijetesantakalu	$x=\left[-2.1,-3.1\right]\left\{-3.8\leq y\leq -0.9\right\}$ $y=-3.8\left\{-3.1\leq x\leq 2.7\right\}$ $y=-0.9\left\{-3.1\leq x\leq -2.1\right\}$ $x=2.7\left\{-3.8\leq y\leq 0.2\right\}$ $x=1.5\left\{-3.8\leq y\leq -2\right\}$ $\left({\frac {29}{22}}\left(x+3.1\right)\right)^{2}+\left(y+2.35\right)^{2}=1.45^{2}\left\{x\leq -3.1\right\}$ $\left(x-2\right)^{2}+\left({\frac {41}{47}}\left(y+0.9\right)\right)^{2}=4.1^{2}\left\{-0.9\leq y\right\}\left\{x\leq 1.5\right\}$ $\left(x-0.3\right)^{2}+\left(y-1.5\right)^{2}=0.3^{2}$ $\left(x-1.75\right)^{2}+\left(y-1.5\right)^{2}=0.3^{2}$ $y=-{\frac {28}{10}}x-{\frac {88}{25}}\left\{-3.8\leq y\leq -2.4\right\}$ $y={\frac {9}{13}}x-{\frac {217}{130}}\left\{0.2\leq y\leq 1.1\right\}$ ${\frac {29-10\left({\sqrt {\frac {914526}{42025}}}-0.9\right)}{3}}x+{\frac {12\left({\sqrt {\frac {914526}{42025}}}-0.9\right)-29}{2}}\left\{1.5\leq x\leq 1.8\right\}$ $-{\frac {9}{11}}x+{\frac {481}{110}}\left\{1.8\leq x\leq 4\right\}$	Discovered by soweli Sijenkata.
kin	kinkin
kipisi	kipisikipisi
kokosila	kokosilakokosila
ku	kuku
lanpan	lanpanlanpan
leko	lekoleko	$\left|x+y\right|+\left|x-y\right|=\left[1,2\right]$
meso	mesomeso
misikeke	misikekemisikeke
monsuta	monsutamonsuta
n	nn
namako	namako1namako1
	namako2namako2
oko	okooko
soko	sokosoko
tonsi	tonsitonsi