Maths question

Aw come on king_h what are you doing, the suspense is killing me :)

Sorry, Ingleby, it’s nothing exciting, mate 😀

One of the top bosses is nipping round to thank us for working through the lockdown period so they’re panicking about whether or not we’ll have enough floor space to safely plonk us all and I thought I’d see if there was an optimum layout for the size of the area we’ve got to work with, and the number of staff we’ll have in. 👍🏻
To be honest with you there’s only a couple of us who are still socially distancing. The rest of them seem to have given up on it now. You need eyes in the back if your head to avoid them approaching and passing from all directions.
 
Your hexagon example can get 1 more person in the middle of each triangle - think of it as 6 equilateral triangles with seven vertices (people). I think a row of 24 equilateral triangles (sides = 2 m) alternating with 24 inverted triangles in between might do it. That's got 50 vertices and no wasted space

Edit: Sorry, thought it was just a maths problem. I've just seen your update

Looking at it I reckon you’re right, mate. Thanks 👍🏻
 
Sorry to be a party pooper
Your ‘top bosses’ want to thank people for working during lockdown in a space that is bound to compromise the safety of those very people.

How thoughtful
 
I asked my son, who is a bit of a maths geek and he thought for a minute and said 'that will be hard' :)

After a few minutes he said 'I think it would be best to start by drawing the circles but with a 2m radius, then place the next people right on the circumference and use equilateral triangles to work out where on the circumferences to place people. Right, I'm off back to my X-box.'

Seems quite like the answer on the link.
 
I asked my son, who is a bit of a maths geek and he thought for a minute and said 'that will be hard' :)

After a few minutes he said 'I think it would be best to start by drawing the circles but with a 2m radius, then place the next people right on the circumference and use equilateral triangles to work out where on the circumferences to place people. Right, I'm off back to my X-box.'

Seems quite like the answer on the link.

I’m glad you said ‘like the answer on the link’ or I’d have been lost with that reply 😂👍🏻
 
Sorry to be a party pooper
Your ‘top bosses’ want to thank people for working during lockdown in a space that is bound to compromise the safety of those very people.

How thoughtful

Yeah, I know, I agree mate. It’s just a token gesture really cos social distancing is nothing but a fond memory at our place. It’s a nightmare.
 
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