Generating a Union based off 3 points in space

[round harbor]

function GenerateTriangle(A:Vector3, B:Vector3, C:Vector3)
    local center = (A + B + C ) /3
    local normal = (B-A):Cross(C-A).Unit
    
    local triOne = script.Triangle:Clone()
    local triTwo = script.Triangle:Clone()
    
    triOne.Parent = workspace
    triTwo.Parent = workspace
        
    --midpoints 
    local x = (A + B)/2
    local y = (B + C)/2
    local z = (C + A)/2
    
    
    --TY CHATGPT FOR THE MATH FOR POINT β
    local v = C - B -- Direction vector of BC
    local w = A - B -- Vector from B to A

    -- Project w onto v
    local t = w:Dot(v) / v:Dot(v)

    -- Find beta
    local beta = B + t * v
    
    triOne.Size = Vector3.new(0, (A-y).Magnitude, (beta-C).Magnitude)
    triOne.CFrame = CFrame.lookAlong(z, (C-beta), (A-beta))
    
    triTwo.Size = Vector3.new(0, (A-y).Magnitude,(beta-B).Magnitude)
    triTwo.CFrame = CFrame.lookAlong(x, B-beta, (A-beta))
end

[manic wadi]

I havent done generative stuff like this before so

not sure how helpful ill be

but it looks visually like a formula problem

[round harbor]

yea if theres an issue with the math its probably beta

i straight up gave up[ trying to calculate it myself and chatGPT seemed to rpovide something that "works"

[manic wadi]

hrrmmm

wait

let me just ask you my first theory

[hollow scarab]

give me a min

[manic wadi]

but how did you handle the floats

[round harbor]

they're all numbers

unelss vector3:Cross() rounds them

it should be maintaingin constant precision

[hollow scarab]

is tri1 and tri2 just wedges?

[round harbor]

yea

[hollow scarab]

ok

[manic wadi]

i know certain roblox formulas

auto fuck up

and change to decimals

so lemme check

[round harbor]

current issue, preciion is lost at certain angles

[hollow scarab]

btw u only need one tri

just clone twice

[manic wadi]

^

what is the other tri for exactly

[hollow scarab]

yeah ur beta is fucked

never rely on chat gpts

[manic wadi]

what like the left and right side

[round harbor]

idk how you'd use only one triangle

they're never the same unless its a symmetrical

[hollow scarab]

to make a full triangle u need 2 wedges

unless ur doing right triangles

[manic wadi]

well yeah no shit

[hollow scarab]

then theres ur answer

[manic wadi]

but whats the 2nd unique one for

actually nvm

[hollow scarab]

ur very smart

[manic wadi]

im silly

indeed

I assumed what he was doing was having 2 unique wedges

not the same

:3

[hollow scarab]

interesting

[round harbor]

@manic wadi i neeed to add some edge case detection logic but this so far works much better

    local DA_unit = (normal:Cross(C-B) + normal*(normal:Dot(C-B)) ).Unit
    local area = 0.5 * ((B-A):Cross(C-A).Magnitude)
    local h = (2 * area )/  ((B-C).Magnitude)
    local D = A - DA_unit*h --Point D, is point A projeted onto the line BC

i renamed point D to point B

[manic wadi]

I'm glad you were able to do it!

[round harbor]

basically it caclualtes the area of the trianlge given the 3 points, then uses the normal 2D formula to caluate the length then offsets from D

[manic wadi]

i like how you changed the coloring too. makes your hard work look even more pretty

[round harbor]

DA Unit is just BC rotated 90 btw

[round harbor]

im surprised the unionAsync keeps the default coloring regions

[manic wadi]

?

wdym

[round harbor]

i merge the two triangles, to create the final part using UnionAsync()

i mjust surprsied that it doesn't remove the colro and revert it back to grey