Puzzles with numbers and things

[snookersfun]

R.346 'similar to R.338 Balancing balls'
...using 55 balls this time (any colours you like), distribute them (all different number of balls) into the 10 bags and balance the mobile.

mobile-4.bmp

How many balls are in each specific bag?

btw. are only Mon and d_g doing those?

[snookersfun]

and one more for those disliking the balances:

R.347 Distancing the balls cleverly

Another day and the apes are still monkeying around. Drawing from a vast amount of snooker balls they pile a few of those on their snooker table in neat stacks of 1 to 13 balls each. Looking at the final design, actually, not surprisingly, it turns out be a rather clever design. The distance between the centers of successive pairs of piles is always greater than that between the previous pair.
(e.g. the smallest distance will be found between pair 1 and 2, the distance between 2 and 3 larger, etc….)
balls on table-2.bmp
Please give the amount of balls in each pile

[snookersfun]

Monique balanced that already, well done
think this one was too easy for her- confirmed now! So anybody wanting to start out at balances, this would be the one!

and meanwhile she got the distances figured out perfectly as well! Congrats

R.346 'similar to R.338 Balancing balls'
...using 55 balls this time (any colours you like), distribute them (all different number of balls) into the 10 bags and balance the mobile.

[ATTACH]1785[/ATTACH]

How many balls are in each specific bag?

btw. are only Mon and d_g doing those?

[Monique]

R348 - Gwenny goes stylish ...

and wants to make herself a pentaminoes' bracelet with this chunk of ribbon Of course she wants all 12 pentaminoes there in bright colours!

PentaminoRibbon3X20.jpg

[Monique]

Snookersfun first to "offer" Gwenny a stylish bracelet! Thanks on her behalf!!!

[snookersfun]

while I am waiting for my live-stream to kick back in or alternatively for ES to broadcast, I am happy to announce:

R.346: Moglet started cracking those mobiles as well now. Very well done

I will still leave all 'balances' open for a while...

[abextra]

R.346 'similar to R.338 Balancing balls'
...using 55 balls this time ...

btw. are only Mon and d_g doing those?

[davis_greatest]

and one more for those disliking the balances:

R.347 Distancing the balls cleverly

Another day and the apes are still monkeying around. Drawing from a vast amount of snooker balls they pile a few of those on their snooker table in neat stacks of 1 to 13 balls each. Looking at the final design, actually, not surprisingly, it turns out be a rather clever design. The distance between the centers of successive pairs of piles is always greater than that between the previous pair.
(e.g. the smallest distance will be found between pair 1 and 2, the distance between 2 and 3 larger, etc….)
[ATTACH]1786[/ATTACH]
Please give the amount of balls in each pile

I don't think I understand this question. Is the picture related to the question? The balls are stacked how - vertically? :snooker:

[Monique]

Update: D_G solved R345 nicely including the bons! Welcome back and very well done!
Abextra got all the pentaminoes ... congratulations

@D_G yes the ball are stacked vertically (only apes could do that!), the stacks are "standing" on the grid as shown and the distance between stacks of height k-1 and k is smaller than the distance between stacks of heights k and k+1 for any admissible k...

[snookersfun]

update: a bunch of new abextra solutions in now: R346 (yay, another mobile cracker), 347 (see, d_g it is a male thing) and the pentamino round solved very impressively! Well done

I don't think I understand this question. Is the picture related to the question? The balls are stacked how - vertically? :snooker:

yeah, stacked however the apes can, even next to each other, but simply imagine the centers of each stack/pile/accumulation of balls to be the center of those red dots on green table. Did that help?

[snookersfun]

oops

breaking news:

meanwhile I have the pleasure to announce that Abextra sent perfect solutions to R.338, 340 and even forgotten R.333 (with one of her famous smiley pictures). Well done!

R.346 'similar to R.338 Balancing balls'


btw. are only Mon and d_g doing those?

oops, my apologies. Due to the flurry of abextra's solutions coming in, it had totally slipped my mind (now I am worried) that she had done all the balances so far. So, very well done again!

and also: moglet solved the next mobile (R.340) successfully as well now. Congrats!

[davis_greatest]

@D_G yes the ball are stacked vertically (only apes could do that!), the stacks are "standing" on the grid as shown and the distance between stacks of height k-1 and k is smaller than the distance between stacks of heights k and k+1 for any admissible k...

yeah, stacked however the apes can, even next to each other, but simply imagine the centers of each stack/pile/accumulation of balls to be the center of those red dots on green table. Did that help?

Thanks - I think I get it now, from that. So all the numbers 1 to 13 have to be used once? And this is 2-dimensional - so the centre of the stack could be taken to be a point on the table, rather than the centre of the central ball in each pile?

[Monique]

Yes, 2 dimensional.

[snookersfun]

Thanks - I think I get it now, from that. So all the numbers 1 to 13 have to be used once? And this is 2-dimensional - so the centre of the stack could be taken to be a point on the table, rather than the centre of the central ball in each pile?

By George, he's got it! By George, he's got it!
Yeah, why simple if complicated is possible?

But happy to say, have just received a perfect solution to the round. Well done d_g!


while Mark Selby has just gone out and Mark Williams one round further

[moglet]

Hi d_g, unless I miss my hunch the distances puzzle still holds good in 3 dimensions, the mean height of one stack measured to the mean height of the subsequent stack and so on......