Any mathmeticians here

[tradosaurus]

Spot on! I just had to draw it for myself to get my head around it.

And no, it's not symmetrical, but then it's just an exercise in geometry, and probably not a practical solution anyway:

View attachment 3435738

I need to place spigots so that a 100 ft hose will reach everywhere inside and not have any dead spots that cannot be reached?

A 100 ft hose would make a 200 ft circle.

 

[Oz_Kioti]

Good brain food, this!

Bearing in mind for this theoretical exercise, we're limited by hose lengths of 100 feet.

The OP's proposition was to install spigots on the corners and only around the perimeter. But - ignoring the corner spigots for the moment, and instead placing a spigot mid-position on the short sides, you would then just require four suitably placed spigots along each long side: TOTAL - 10 spigots.

Not the way I'd do it, but ..... I'm not doing it!

 

[RayIN]

He said "trees" remember. Pulling a hose into a straight line will be practically impossible. I suspect in practice, 75' is more realistic.

A 100 ft hose would make a 200 ft circle.

 

[tradosaurus]

He said "trees" remember. Pulling a hose into a straight line will be practically impossible. I suspect in practice, 75' is more realistic.

The drawing doesn't show any "trees", remember?

 

[RayIN]

The drawing doesn't show any "trees", remember?

I went by what he said, didn't want to remove any more trees, then said trees in center..

 

[Streetcar]

This kind of thing was never my thing.

I’ve cleared a piece of land enough to have the sized perimeter that I’ve shown.
At what intervals around this known perimeters ( length and width ) would I need to place spigots so that a 100 ft hose will reach everywhere inside and not have any dead spots that cannot be reached?

I’d rather have a little wiggle room versus stretching things to their limit.

I don’t want to have to remove any more trees ( in the center) than I’ve already done and although tree’s will change the reach of the hose we can manage that on an individual basis as it occurs.

I’ll have a spigot for sure at all 4 corners
Thanks if you can figure this out

When I planted trees I had several hoses and watered as I walked down the row. It was a workout but ended up being the easiest way to water all the trees without damaging any

 

[RayIN]

Apparently we require more details.

 

[WinterDeere]

 

[1930]

Place spigots at 80-foot intervals along the 490-foot sides (left and right, at
0,80,160,240,320,400,480 and one spigot at the midpoint of each 180-foot side or 90'. This requires 16 spigots total to ensure a 100 ft hose can reach every point inside the 180' x 490' rectangle without dead spots.

Thanks, this is what I’ve laid out per your instruction and it’s gonna be fine.
I appreciate all the responses

 

[tradosaurus]

Apparently we require more details.

Also need to know the distance the sprinkler will eject water as well as a layout of where these trees in the middle are located.