What is the height of the Ramp bricks?

[MrLoganator111]

All of these math equations and stuff when you can just put a 1x1 brick up next to it and figure out that its height is 1.

[Ad Bot]

[Altiris]

All of these math equations and stuff when you can just put a 1x1 brick up next to it and figure out that its height is 1.

No, I'm asking for the height of where the slope is, not the flat part.

[Altiris]

I'm pretty sure that the lip of all ramps are the same.  It's actually pretty easy to figure out the size with some trig.

Take the 25 degree ramp.

First, we need to find the hypotenuse of the ramp, because the lip messes it up.

The 45 degree has a triangle length of 1 brick.

Here is the formula:

Cosθ=a/h

Let a=the length of the ramp (here it is 1)
Let h=the hypotenuse
Let θ=the angle of the ramp.

.:
Cos(45)=(1)/h
1/cos(45)=h
H~1.414 brick lengths long

Now, we find the height of the ramp triangle, unfortunately in brick lengths, not height.  We need to figure out the conversion factor for that.

Here is the formula:

Sinθ=o/h

Let o=the height of the ramp triangle
Let h=the hypotenuse of the ramp triangle
Let θ=the angle of the ramp

.:

Sin(45) = o/(1.414)
(1.414)sin(45) = o

o = .99984 brick lengths.

Once we figure out the brick length to brick height in plates conversion factor, we cause this formula.

X-(Y*Z) = Q

Where X is the ramp brick's height in plates
Where Y is the height of the ramp Brock's triangle in brick lengths (here it is .99984 Bl)
Where Z is the conversion factor in terms of (Brick Heights in plates per Brick Length; Bh/Bl)
Where Q is the height of the ledge.

Now someone figure out the length-to-height conversion factor.

Wow thanks, I am a little confused around some parts but I will just mess around with it. Thanks!

[sirrockyqo]

Are you loving kidding?
:L
lul

Figure it out!
Id say between 1 and 2/3

[Gen. Hothauser]

Are you loving kidding?
:L
lul

Figure it out!
Id say between 1 and 2/3

That's not figuring it out, that's limiting the range, which any non-banned blockland member could figure out just by looking at a ramp brick.

[DannyPoliceM]

You're seriously doing all of these calculations just to find the height of the lip of the ramp?
Can't you just open the ramps in some modeling software and use a ruler to measure it?

[MrLoganator111]

No, I'm asking for the height of where the slope is, not the flat part.

Ooooh sorry.

[Tertahedron]

The highest point is one stud

[Alkan]

Why do you need this information? Just a friendly question.

he's asking for his Blockland->roblox converter


Find the height by comparing it to other bricks..

[.:FancyPants:.]

No, I'm asking for the height of where the slope is, not the flat part.

the height of where the slope is isn't a single height at all. the top of the slope is one point, the bottom of the slope is one point. both are at two different heights.

you haven't told us what unit you want the height in, you haven't told us where on the slope you want the height. how are we supposed to help you?

[Katadeus]

I need to learn those functions asap

[Gen. Hothauser]

I did some measuring only my iPhone using a picture front he gallery of a 2x2x5 brick.

2x2x5 brick has a 1cm : 4cm w:h ratio.

Therefore.

1cm / 2 Brick lengths (Bl) : 4cm / 15 Plate heights (Ph)

.5 cm / 1 Bl

.266667 cm / 1 Ph

Convert Bl to Ph

.5 / .266667 = 1.87499 Plate heights per brick length.

I decided to redo my math from earlier, so as to make it more precise.  I'll be implementing the conversion factor at the beginning so as to keep lengths and such straight.

2x2 ramp. Triangle Length = 1 brick.  Height = 3 plates

1 brick     1 brick
--------- = ----------
X plates     1.87499 plates

X = 1.87499 plates in 1 brick stud lengths.
That means that in our 45 degree ramp, we have a triangle length of 1.87499 plates.

Now we redo math

a = the side adjacent to the angle, but isn't the hypotenuse
o = the side opposite the angle
h = the hypotenuse (side opposite the right angle)

Cosθ = a/h
Cos (45) = (1.87499) / h
0.707106781186548 = 1.87499 / h
h = 2.651636287313928 plates long

I can't believe I didn't catch myself on this before.

It's a 45 degree triangle, therefore the legs are equal.  I did extra math for nothing.

Alright, time for the answer.

The length of one side of the triangle is 1.87499 plate heights long.

We take the total height of the brick (3 plates) subtract one side of the triangle (1.87499 plates)

3 - 1.87499 = 1.12 ish.  stuff, messed something up.  Guess I'm too tired.

[Ladezkik]

Bricks have a height to width ratio of 6:5, meaning if the horizontal edge of a 1x1 brick is assumed as 0.5 units long, the vertical edge is 0.6 units long. This makes plates 0.2 units high.

Let's assume the angle of the slope is exactly 25 degrees. The triangle formed by the slope will be 2 x 0.5 units wide (2 bricks) and will be 0.6 – x tall. (1 brick height minus the bit at the bottom)

Let a be the angle of the slope.

tan(a) = vertical side / horizontal side ––––– (opposite/adjacent)
tan(25) = (0.6 – x) / 1 = 0.6 – x

The length of the side 0.6 – x will therefore be given by

tan(25) – 0.6 = –x
x = 0.6 – tan(25) = ~0.134

The bit at the bottom will be approx. 0.134 units tall and the height of the slope itself will be tan(25) which is approx. 0.466 units.
(or 0.223 brick heights and 0.777 brick heights if you like that better)

[Dillpickle]

probably the smartest thread in Blockland.

[S7]

So did this happen inevitably or did Badspot just complicate things?