Spirales

https://www.google.com/search?q=%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0+%D1%80%D0%B0%D1%81%D1%88%D0%B8%D1%80%D1%8F%D1%8E%D1%89%D0%B5%D0%B9%D1%81%D1%8F+%D1%81%D0%BF%D0%B8%D1%80%D0%B0%D0%BB%D0%B8#vhid=KJf8dgwwexeixM&vssid=l

https://www.google.com/search?q=%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0+%D1%80%D0%B0%D1%81%D1%88%D0%B8%D1%80%D1%8F%D1%8E%D1%89%D0%B5%D0%B9%D1%81%D1%8F+%D1%81%D0%BF%D0%B8%D1%80%D0%B0%D0%BB%D0%B8#vhid=KJf8dgwwexeixM&vssid=l

Архимедова спираль

https://ru.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0_%D1%81%D0%BF%D0%B8%D1%80%D0%B0%D0%BB%D1%8C

Логарифмическая спираль

https://ru.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F_%D1%81%D0%BF%D0%B8%D1%80%D0%B0%D0%BB%D1%8C

R = ae^bFi

Fi = 1/b*ln(r/a)

Спираль Корню

https://zaochnik.com/spravochnik/fizika/volnovaja-optika/spiral-kornju/

https://www.webmath.ru/poleznoe/fizika_178_spiral_kornju.php

https://zaochnik.com/spravochnik/fizika/volnovaja-optika/spiral-kornju/

https://www.desmos.com/calculator/npdxog1m1l?lang=ru

https://mathworld.wolfram.com/CornuSpiral.html

Параболическая 

Спираль Ферма

https://ru.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D1%80%D0%B0%D0%BB%D1%8C_%D0%A4%D0%B5%D1%80%D0%BC%D0%B0

https://bigenc.ru/c/parabolicheskaia-spiral-9e0365

Гиперболическая спираль

https://ru.wikipedia.org/wiki/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F_%D1%81%D0%BF%D0%B8%D1%80%D0%B0%D0%BB%D1%8C

https://www.desmos.com/calculator/dqwsooneit?lang=ru

Жезл (плоская кривая)

https://ru.wikipedia.org/wiki/%D0%96%D0%B5%D0%B7%D0%BB_(%D0%BF%D0%BB%D0%BE%D1%81%D0%BA%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%B2%D0%B0%D1%8F)

SICI-спираль

https://bigenc.ru/c/sici-spiral-b71755

Кохлеоида

https://vuzlit.com/847251/krivye_polyarnyh_koordinatah_kohleoida_strofoida_spiral_arhimeda_logarifmicheskaya_spiral