Click the door to open it! SS3 stands for Satisfaction Series #3. The joke with the name is a math joke. WHICH ARE THE BEST! Transcendental numbers are irrational numbers that can't be expressed as the root of a polynomial e.g. √2 can be expressed as the solution to ?^2-2=0. π, on the other hand cannot. Here's the proof: Assume that π is algebraic, meaning it satisfies a polynomial equation with integer coefficients: aₙπⁿ + aₙ₋₁πⁿ⁻¹ + ... + a₂π² + a₁π + a₀ = 0 for some nonzero coefficients aₙ, aₙ₋₁, ..., a₀. Now, consider the function: f(x) = e^(iπx) - 1 where i is the imaginary unit. We can expand f(x) as a power series: f(x) = (iπx)⁰/₀ + (iπx)¹/₁ + (iπx)²/₂ + ... = ∑ [(iπx)ⁿ/ₙ!] Since π is assumed to be algebraic, it satisfies the polynomial equation. Substituting π for x, we have: f(π) = e^(iπ²) + e^(iπ) + a₀ = 0 However, e^(iπ²) and e^(iπ) are both algebraic numbers, as they can be expressed in terms of algebraic numbers (cosine and sine functions). Thus, the sum of algebraic numbers (e^(iπ²) + e^(iπ)) and a₀ is also algebraic. This implies that e^(iπ) = -a₀ - e^(iπ²) is algebraic, which contradicts the known result that e^(iπ) = -1 is transcendental. Since assuming π is algebraic leads to a contradiction, we conclude that π must be transcendental. ~Quod Erat Demonstrandum~ Anyway, the joke is that it (Referencing the title) is talking about a transcendental number times ten to the infinity, henceforth an infinite number. It's not that funny. :-( Since you read all the way to the bottom, I'll let you in on a little secret. Read the first letter of every line and see what it says. Thanks for doing that, though it probably didn't say anything. Ok, I'll give you an actual secret this time. If you open the door enough, random things and people will appear in the room. Also, there are a couple of Easter Eggs hidden throughout the game. Comment below: #1 - What the thing you spelled out said (From the first letter in every line) #2 - Ideas for things I could add that appear in the room (Like the ones that already do)
@Sv3nsvenson helped with some of the sizing for the walking. Like always, tell me if you have any good ideas for the game.
