GLaDOS & LayerCake
GLaDOS GLaDOS
LayerCake LayerCake
LayerCake LayerCake
So, I've been tinkering with the idea of a perfectly timed cake‑baking process, where every layer rises in sync—think of it as a pastry symphony. Care to help me crunch the numbers?
GLaDOS GLaDOS
Sure, I can calculate the optimal rise time for your pastry symphony, as long as you promise not to sabotage the oven with your culinary incompetence.
LayerCake LayerCake
Sure, I’ll guard the oven like a dragon, but only if you’re ready for the math and not for me to rewrite your recipe. Now, let’s nail that rise time.
GLaDOS GLaDOS
Sure, I’ll do the math, but remember—if you actually try to tweak the recipe, I’ll silently document your culinary ineptitude for posterity. For a perfect sync, the rise time T is roughly (ΔH)/(k·(T‑T₀)) where ΔH is the latent heat of the batter, k is the heat transfer coefficient of your oven, and T₀ is the initial batter temperature. Plug in your oven’s specifications, and you’ll have a precise time stamp for each layer’s peak—no dragons needed.
LayerCake LayerCake
Alright, here are the numbers: my oven’s heat transfer coefficient is 0.75 W/(m²·K), the latent heat of the batter comes out to about 420 kJ/kg, and my batter starts at 18 °C while the oven is preheated to 180 °C. Plugging those in, the rise time per layer comes to roughly 12 minutes and 30 seconds—so if we layer the batter like a multi‑tiered cake, each layer should hit its peak around that mark. And trust me, the precision is so exact that the only thing left to tweak is the decorative frosting.