Isotopeia:Prestige
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Prestige is a mechanic in Isotopeia introduced in v1.8.0 that adds positrons (symbolized as [math]\displaystyle{ e^{+} }[/math]) as a currency for replayability, like Legacy & heavenly chips in Cookie Clicker.
Calculating prestige gain[edit]
The formula for calculating the number of positrons gained on prestige is as follows:
[math]\displaystyle{ e^{+} = \max \left (\left \lfloor \frac{V_e}{1.5\cdot10^{21}}+\frac{e^{-}}{10^{20}}+\frac{u}{10^{22}} \right \rfloor,0 \right ) }[/math]
In other words, you need exactly [math]\displaystyle{ 1.5 \cdot 10^{21} }[/math] electron neutrinos, [math]\displaystyle{ 10^{20} }[/math] electrons, or [math]\displaystyle{ 10^{22} }[/math] up quarks for [math]\displaystyle{ 1 }[/math] positron.
Effects of positrons[edit]
For every 1 positron, each building's per-second output is increased by +1% additively (meaning scaling linearly). This means that per-second output, factoring in positrons, can be represented by the equation:
[math]\displaystyle{ g/s = g_i/s\cdot \left (1+\frac{e^{+}}{100} \right ) }[/math]
where [math]\displaystyle{ g/s }[/math] is the resulting gain per second, [math]\displaystyle{ g_i/s }[/math] is the initial gain without any positrons, and [math]\displaystyle{ e^{+} }[/math] is the number of positrons the user has.