[image] The math to understand the uniform subdivision of a triangle which results in its square is well-known and is easy to produce geometrically with pen and paper (see above). I’m running into obstacles when trying to code such funcationally in Dynamo/Designscript. Searching the forums for hel…

Just for the sake of having a little fun :slight_smile: here’s a less geometric / more arithmetic way to see it: if you look at a 2n+1 dimension matrix : XOXOXOX OXOXOXO OOXOXOO OOOXOOO the pattern of the regular subdivision of an equilateral triangle goes : 0 2 4 … 2n+1 1 3 5 … 2n 2 4 6 ……

Complete definition … equilateralSubDivision.dyn (4.9 KB) [image]

Thank you so much for taking the time to offer your ideas. I wish I could grant more than one solution. Hopefully others in the future facing this same question can find this threat. I think it will help a lot of people build. :japanese_castle::tokyo_tower: I’m excited to try and run this code into…

[image] The matrix method unfortunately doesn’t appear to orient to the surface I’m hoping to divide however when testing the other code before passing through my 20 surfaces I’m getting a strange offset on each subdivided triangle which is not in the example. I assume it has something to do with …

Hi @PerfectArchCo In order to get the matrix to adapt to the orientation of your surfaces, you can use coordinate systems. Here’s a code that will work wathever the orientation of your tirangle is :slight_smile: : [image] //setting the coordinate system p = s.PerimeterCurves(); l = p[0].Length; …

[image] PerfectArchCo: I’m getting a strange offset on each subdivided triangle which is not in the example Check if the surface you are feeding in is equilateral.

Altered the file I’d provided above to accept an equilateral surface. equilateralSubDivision.dyn (4.9 KB) [image]

This is a very interesting problem. And I’ve seen that has very good solutions here. I would also like to present another approach in order to be discussed. I did this using another way taking the coordinates of the vertices of the main equilateral triangle, so that no matter their position in spa…

Looking sharp @Vikram_Subbaiah . Interestingly @Ricardo_Freitas I have that paper printed off and sitting within arms reach already. Unforuately that paper doesn’t cover how he subdivided the surface but then again, Dynamo is just so cool, who wouldn’t want to try it? I agree there’s lots of good ap…

Obtaining the points of the sub triangles is quite easily done by getting the vertices of the polygons/surfaces

Just adding to the resource :slight_smile: Modified the definition to process a list of equilateral triangle surfaces of different sizes equilateralSubDivision1.dyn (5.3 KB) [image] The above code fails when the number of sub divisions is less than 2. Here is a rectified version that addresses…

Uniform Subdivision of Equilateral Triangle

DesignScript

Vikram_Subbaiah June 21, 2016, 3:47pm 18

This earlier geodesic post might interest you - The icosahedron method

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Uniform Subdivision of Equilateral Triangle

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