Is it possible to make a triangular pyramid in Minecraft?
Is it possible to make a triangular pyramid in Minecraft?
Guest
Alright, so you're looking at X ^ 2 squares per layer, where X is the length of a side. Each level, you subtract 2 from X and repeat for the squares needed for that level, then add them together. Because I'm lazy, I'm just throwing this into a TI-84+.
Per Layer:
This formula assumes Layer 1 is the very top layer, going down to whatever you would want your Bottom layer to be. For you, Layer 1 would be the single block on top, Layer 2 would be the 9 blocks beneath it down to Layer 64 being your 127x127.
y = ax^2 + bx + c
a = 4
b = -4
c = 1
FORMULA = 4x^2 - 4x + 1
Layer 1 = 4(1)^2 - 4(1) + 1 = 4 - 4 + 1 = 1
Layer 2 = 4(2)^2 - 4(2) + 1 = 16 - 8 + 1 = 9
Layer 3 = 4(3)^2 - 4(3) + 1 = 36 - 12 + 1 = 25
etc etc
Full Pyramid:
This formula assumes that X is the number of layers. For you, you'd be doing X = 64 since your pyramid would be 64 layers.
y = ax^4 + bx^3 + cx^2 + dx + e
a = 7
b = -75+(2/3) = -227/3
c = 287
d = -427+(1/3) = -1282/3
e = 210
FORMULA = 7x^4 - (227/3)x^3 + 287x^2 - (1282/3)x + 210
For 64 layers, that makes approximately 99 million blocks. 98,753,362 to be exact.
Have fun with that.
HelpingHipp0