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Daily #LegoMaths day 5:
How many bricks? Can you estimate it? Can you calculate it?
#LegoMath #NoticeWonder #ITeachMath
@alisonkiddle is the pyramid full or hollow? Cause
@Elmusfire the ambiguity is my favourite thing about today's image 
@alisonkiddle did you notice that if it is hollow, if you rotate all blocks 45 dregrees, expand the thing with factor sqrt(2) and squice them into one plane, you get the pattern from yesterday?
@Elmusfire not until you pointed it out
Having consulted the Wikipedia page on Lego, prompted by your posts, I see that it has been determined that it would take a 375,000 high stack of Lego bricks before the bottom one broke under the load of those above. For the pattern you show (let’s assume filled, not hollow) and assuming load uniformly spread (discuss), I wonder how high we could build. https://en.wikipedia.org/wiki/Lego?wprov=sfti1
@alisonkiddle
The layers are the perfect squares.
Top = 1 yellow brick
Then 4 blue, then 9 red, then 16 white.
Total will be ∑𝑥²
Of course there are other fun Qs to ask: for example, at each level, how many new pegs are visible? How many pegs total in each level? Etc.
#LegoMath #LegoMaths