03. Dynamics of Algebraic Functions


Rounding
---    cos(theta*4) + 1
---    round( cos(theta*4)) +1

---    round( cos(x*4) ^0.2 ) + 2.2
---    round( cos(x*4) ^1    ) + 2
---    round( cos(x*4) ^5    ) + 1.8





Exponents Exponential Rounding
---    cos(x*4)^0.2 + 2
---    cos(x*4)^1 + 2
---    cos(x*4)^5 + 2

---    round( cos(x*4)^0.2 ) + 2.2
---    round( cos(x*4)^1    ) + 2
---    round( cos(x*4)^5    ) + 1.8


These three particular plots are staggered for effect.

Notice that multiplying the blue function to the 5th degree, before rounding, produces a longer midsection, with more accentuated peak and trough.

Whereas the orange function raised to 0.2 has a very short midsection.

This technique provides vital control over the length and proportions of trig functions.


More to come...

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