Hey, I remember this place and all you people… :D Hope everyone’s doing well…. Fun news from me, I’m engaged to a real life female girl :)

I’ve got a bit of a maths problem, which on the surface seems pretty simple to me to be able to resolve, yet I’m stuck on it and can’t figure out why.

Let’s say you’ve got a wooden panel, that’s 500mm wide. On that part, you’re wanting to add a collection of holes across its width, as many as you can fit, spaced exactly 15mm apart, and leaving 75mm from one edge and mirroring from the opposite edge. The holes are to be in the horizontal centre of the panel.

Should be pretty simple, I would’ve thought.

The number of holes I’m guessing is something like (500 – (2 * 75)) ÷ 15. That gives 23.3mm, meaning there’s 23 holes to be put across the width of the part, being the greatest number that would fit without stepping into the 75mm gap-zone around the edge of the panel.

The part I’m stuck on is where I’d need to find the distance from the edge of the panel to the first of the 23 holes.

Best I can come up with is this: (500 ÷ 2) – (500 – ((2 * 75) ÷ 2))

But when I’m measuring this, the distance from the left edge of the panel is not the same as the distance from the right edge of the panel. How should I be correcting the formula so all holes are centred?

The next issue is it needs to be parametric … so if the width is adjusted to say, 700mm, the amount of holes that can fit (as still spaced 15mm apart) will need to be centred, with the ~75mm from both left and right side. But hoping a correct formula to resolve the positioning above would also automatically work parametrically.

JTQ said:

Hey, I remember this place and all you people… :D Hope everyone’s doing well…. Fun news from me, I’m engaged to a real life female girl :)

I’ve got a bit of a maths problem, which on the surface seems pretty simple to me to be able to resolve, yet I’m stuck on it and can’t figure out why.

Let’s say you’ve got a wooden panel, that’s 500mm wide. On that part, you’re wanting to add a collection of holes across its width, as many as you can fit, spaced exactly 15mm apart, and leaving 75mm from one edge and mirroring from the opposite edge. The holes are to be in the horizontal centre of the panel.

Should be pretty simple, I would’ve thought.

The number of holes I’m guessing is something like (500 – (2 * 75)) ÷ 15. That gives 23.3mm, meaning there’s 23 holes to be put across the width of the part, being the greatest number that would fit without stepping into the 75mm gap-zone around the edge of the panel.

The part I’m stuck on is where I’d need to find the distance from the edge of the panel to the first of the 23 holes.

Best I can come up with is this: (500 ÷ 2) – (500 – ((2 * 75) ÷ 2))

But when I’m measuring this, the distance from the left edge of the panel is not the same as the distance from the right edge of the panel. How should I be correcting the formula so all holes are centred?

The next issue is it needs to be parametric … so if the width is adjusted to say, 700mm, the amount of holes that can fit (as still spaced 15mm apart) will need to be centred, with the ~75mm from both left and right side. But hoping a correct formula to resolve the positioning above would also automatically work parametrically.

There are 23 gaps, so 24 holes.

_ spaced exactly 15mm apart,_

I’m assuming the 15 mm from the centre of the circles as you haven’t given circle radius.

sibeen said:

_ spaced exactly 15mm apart,_

I’m assuming the 15 mm from the centre of the circles as you haven’t given circle radius.

Yes, sorry I didn’t mean to omit that.

dv said:

There are 23 gaps, so 24 holes.

Ahh yep.. there is that too.

dv said:

JTQ said:

Hey, I remember this place and all you people… :D Hope everyone’s doing well…. Fun news from me, I’m engaged to a real life female girl :)

I’ve got a bit of a maths problem, which on the surface seems pretty simple to me to be able to resolve, yet I’m stuck on it and can’t figure out why.

Let’s say you’ve got a wooden panel, that’s 500mm wide. On that part, you’re wanting to add a collection of holes across its width, as many as you can fit, spaced exactly 15mm apart, and leaving 75mm from one edge and mirroring from the opposite edge. The holes are to be in the horizontal centre of the panel.

Should be pretty simple, I would’ve thought.

The number of holes I’m guessing is something like (500 – (2 * 75)) ÷ 15. That gives 23.3mm, meaning there’s 23 holes to be put across the width of the part, being the greatest number that would fit without stepping into the 75mm gap-zone around the edge of the panel.

The part I’m stuck on is where I’d need to find the distance from the edge of the panel to the first of the 23 holes.

Best I can come up with is this: (500 ÷ 2) – (500 – ((2 * 75) ÷ 2))

But when I’m measuring this, the distance from the left edge of the panel is not the same as the distance from the right edge of the panel. How should I be correcting the formula so all holes are centred?

The next issue is it needs to be parametric … so if the width is adjusted to say, 700mm, the amount of holes that can fit (as still spaced 15mm apart) will need to be centred, with the ~75mm from both left and right side. But hoping a correct formula to resolve the positioning above would also automatically work parametrically.

There are 23 gaps, so 24 holes.

To parameterize it somewhat

W is the panel width (500 mm in the example), G is the edge gap (75 mm in the example), S is the spacing between holes (15 mm in the example given), E is the actual gap required at the edges.

N = 1 + ROUNDDOWN / S )

E = ( W – S * (N -1) ) / 2

dv said:

dv said:

JTQ said:

Hey, I remember this place and all you people… :D Hope everyone’s doing well…. Fun news from me, I’m engaged to a real life female girl :)

I’ve got a bit of a maths problem, which on the surface seems pretty simple to me to be able to resolve, yet I’m stuck on it and can’t figure out why.

Let’s say you’ve got a wooden panel, that’s 500mm wide. On that part, you’re wanting to add a collection of holes across its width, as many as you can fit, spaced exactly 15mm apart, and leaving 75mm from one edge and mirroring from the opposite edge. The holes are to be in the horizontal centre of the panel.

Should be pretty simple, I would’ve thought.

The number of holes I’m guessing is something like (500 – (2 * 75)) ÷ 15. That gives 23.3mm, meaning there’s 23 holes to be put across the width of the part, being the greatest number that would fit without stepping into the 75mm gap-zone around the edge of the panel.

The part I’m stuck on is where I’d need to find the distance from the edge of the panel to the first of the 23 holes.

Best I can come up with is this: (500 ÷ 2) – (500 – ((2 * 75) ÷ 2))

But when I’m measuring this, the distance from the left edge of the panel is not the same as the distance from the right edge of the panel. How should I be correcting the formula so all holes are centred?

The next issue is it needs to be parametric … so if the width is adjusted to say, 700mm, the amount of holes that can fit (as still spaced 15mm apart) will need to be centred, with the ~75mm from both left and right side. But hoping a correct formula to resolve the positioning above would also automatically work parametrically.

There are 23 gaps, so 24 holes.

To parameterize it somewhat

W is the panel width (500 mm in the example), G is the edge gap (75 mm in the example), S is the spacing between holes (15 mm in the example given), E is the actual gap required at the edges.

N = 1 + ROUNDDOWN / S )

E = ( W – S * (N -1) ) / 2

Fuck, the formatting didn’t work

N = 1 + ROUNDDOWN ( (W – 2*G) / S )

E = ( W – S * (N -1) ) / 2

dv said:

N = 1 + ROUNDDOWN ( (W – 2*G) / S )

E = ( W – S * (N -1) ) / 2

That’s exactly got it, working perfectly. Thanks DV :D

JTQ said:

dv said:

N = 1 + ROUNDDOWN ( (W – 2*G) / S )

E = ( W – S * (N -1) ) / 2

That’s exactly got it, working perfectly. Thanks DV :D

no worries

I have a maths problem.

I found out yesterday that some $%^&* has deleted the maths video I made from Youtube.

mollwollfumble said:

I have a maths problem.

I found out yesterday that some $%^&* has deleted the maths video I made from Youtube.

How?

Did Youtube delete it?

Was there copious nudity?

dv said:

mollwollfumble said:

I have a maths problem.

I found out yesterday that some $%^&* has deleted the maths video I made from Youtube.

How?

Did Youtube delete it?

Was there copious nudity?

A naked singularity was exposed.

sibeen said:

dv said:

mollwollfumble said:

I have a maths problem.

I found out yesterday that some $%^&* has deleted the maths video I made from Youtube.

How?

Did Youtube delete it?

Was there copious nudity?

A naked singularity was exposed.

Copyright takedown because he had Add It Up by Violent Femmes as the background music. But, jokes on them, that song isn’t even about maths…

dv said:

mollwollfumble said:

I have a maths problem.

I found out yesterday that some $%^&* has deleted the maths video I made from Youtube.

How?

Did Youtube delete it?

Was there copious nudity?

It’s back!

Yes, ewetube deleted it. A maths video. That must be a first.

I knew I shouldn’t have included that gif of strippers dancing … just joking.

Now, with no input from me, ewetube has reinstated it. :-)

There must have been a battle somewhere between mathematicians who hated it and other mathematicians who liked it. And the mathematicians who liked it won. That’s the best possible outcome, I like being controversial.

Before deletion it had 43 views. After reinstatement 7 views. That’s enough, if it reaches the right people.

I’ll give you links when I’ve completed all 8 parts of the talk. It’s called “Which infinity” and in the final Part 8 I do a quick run through of more than 15 different systems of infinite numbers that mathematicians have invented over the years. Most people only know one. Most mathematicians only know two of these.