What is the height of the Ramp bricks?

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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?

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