Helix ordinal

The ordinal "𐰴" (sometimes written as "𐰴0") (letter "H" in Göktürkish) (pronounced as "helix") is defined as the length of a helix concentric with an apeirogon, wherein the apex is positioned at the origin and extends to a height of ω. The value of 𐰴 is ω√(1+2π) ≈ ω2.6987, derived from the formula √((2π*R)^2 + L^2). Ordinal 𐰴 was coined by Mert Erdoğdu.https://online.flippingbook.com/view/670059321/
==Properties==
 it is nonstandart to ordinals to have noninteger coefficients 
 in fast growing hierarchy f𐰴(x) is not well-defined due to the transcendental nature of the ordinal 𐰴. 
 in fast growing hierarchy f𐰴(x) dominates f2(x) and gets dominated by f3(x). 
 in slow growing hierarchy s𐰴(x) = x√(1+2π) ≈ x*2.6987. 
 in hardy hierarchy H𐰴(x) = x*2^(√(1+2π)) ≈ 6.4923*x. 
==Sources==
Category:Transfinite ordinals
Category:Transcendental numbers