So seeing as i just can't go to bed at 4 am like a normal person and wake up for early for a class at 9:30. I figure hey i wonder how many blocks it took me to make that huge pyramid. So i determined a summation for it. First i needed to know how big the pyramid was in height measure by blocks. So starting from the base and all the way up to the top. It was 58 blocks high. Now as far as the width goes. The pyramid is not solid, but instead made of ring layers.The width is always changing by 8 blocks each time starting at the first drop down from the very top block. So as an ACII drawing.
Layer 0 x = 1
Layer 1 xxx = 8 ----aerial view of layer-> xxx As seen 8 blocks to make this ring layer
Layer 2 xxxxx = 16 x x
Layer 3 xxxxxxx = 24 xxx
So starting from the top each layer below the top is 8 blocks or more. We will denote the very top of the pyramid as layer 0. Now we know each layer is 8 blocks more than the previous layer except in the case that the previous layer is layer 0. So we can create a summation for layers 1 - 58.
Σ 8n This summation will account for all blocks below layer 0. But what about layer 0.
n = 1
For layer 0 just add 1 to the summation equation.
1 + Σ 8n = 1 + 8+16+24+32+40+48+....+ 464
n = 1
Well this doesn't exactly give us our answer of how many blocks it took to make the pyramid. But at least it shows how big the base of the pyramid is. A whole 464 blocks. WOW.
Using a graphic calculator. Assuming i know how to use the summation function properly on the calculator. It accumulated a total of 13688 blocks + 1 block for layer 0. So a grand total of 13689 blocks. KOOL.
There you go bloggers. If you want to create a crazy big pyramid of a height of 58 that reaches the sky limit. You need to have at least 13689 blocks of sandstone.