[Math Issue] - I need the formula to calculate painting spacing

[@TiddlyTweeter]

I have a problem. I'm crap at math.

The problem is to calculate the "hanging points" for 6 paintings.

These are the inputs ....

- the wall is 636 centimeters long;

- the offset of the edge of first and last frames is 22 cm from the start of the wall (left) and end of the wall (right).

- the frames of each of the six paintings is 64 cm wide.

What is the calculation that will give me the list of "mid-points" (the painting's lateral centres) such that I can equally space the paintings? (Practically I need the measure of the centre-to-centre distance of the paintings within the specified length, taking into account the offsets.)

That is the first part, to get the math.

The second part is which math plugins for TiddlyWiki can do this simply?

Best Sunday wishes

Josiah

[Mark S.]

I get

separation distance = (636-2(22)-2(32))/5 = 105.6 cm

So first center starts at 22+32 = 54 cm and each center is separated by 105.6 cm

#1 54

#2 159.6

....

check the math

-- Mark

[Pit.W.]

With Evan Balster's formula plugin the formula looks like this:  (= (636-2*(22)-2*(32))/5 =)

resulting in: 105.60

not that complicated.

Your 2nd question: "which math plugins for TiddlyWiki can do this simply?"
*simply? none. Math is painful.
*math plugin of choice: Evan's formula plugin. Its the Tyrannosaurus of all plugins

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[Thomas Elmiger]

I get the same as Mark, using RPN I did the following:

* wl = Wall length: 636 cm
* ot = Offset total: 22 cm + 22 cm = 44 cm
* pw = Painting width: 64 cm
* np = number of paintings: 6

---

* first nail: ot/2 + pw/2
* next nails: (wl - (ot + pw))/(np-1)

---

first: <$macrocall $name="rpn" a=<<rpn 44 2 />> b=<<rpn 64 2 />> operation="+" decimals="2" precision="p" locale="de-CH"/> cm

next:
<$wikify name="distance" text='<$macrocall $name="rpn" a=636 b=<<rpn 44 64 +>> operation="-"/>'>
<$macrocall $name="rpn" a=<<distance>> b=<<rpn 6 1 ->> operation="/" decimals="2" precision="p" locale="de-CH"/>  cm
</$wikify>

Now your turn Josiah, put the four parameters in input fields and use for every wall. :–D

Cheers,

Thomas

[@TiddlyTweeter]

Many thanks Mark S., Pit W. and Thomas E. !

All three replies were useful. The placement was correct. Mille grazie.

Since I have to do this placement of paintings quite often, now I have the math, I will play with the plugins to see if I can make a gizmo to do it...

Best wishes

Josiah

[@TiddlyTweeter]

Pit.W. wrote ....

Evan's formula plugin. Its the Tyrannosaurus of all plugins

 Yeah, though Thomas' RPN plugin is a pretty good Ornithomimosauria.

Best

Josiah