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commonMain.Dodecahedron.kt Maven / Gradle / Ivy

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package org.openrndr.extra.meshgenerators

import org.openrndr.draw.VertexBuffer
import org.openrndr.math.Vector2
import org.openrndr.math.Vector3
import kotlin.math.sqrt

// Based on
// https://github.com/mrdoob/three.js/blob/master/src/geometries/DodecahedronGeometry.js

/**
 * A dodecahedron mesh
 *
 * @param radius the radius of the dodecahedron
 * @return A vertex buffer containing the triangles to render the 3D shape
 */
fun dodecahedronMesh(
    radius: Double = 1.0
): VertexBuffer {
    val vb = meshVertexBuffer(12 * 3 * 3)
    vb.put {
        generateDodecahedron(radius, bufferWriter(this))
    }
    return vb
}

/**
 * Generate dodecahedron mesh
 *
 * @param radius the radius of the dodecahedron
 * @param writer the vertex writer function
 */
fun generateDodecahedron(
    radius: Double = 1.0,
    writer: VertexWriter
) {

    val t = (1.0 + sqrt(5.0)) / 2
    val r = 1 / t

    val vertices = listOf(
            // (±1, ±1, ±1)
            -1.0, -1.0, -1.0, -1.0, -1.0, 1.0,
            -1.0, 1.0, -1.0, -1.0, 1.0, 1.0,
            1.0, -1.0, -1.0, 1.0, -1.0, 1.0,
            1.0, 1.0, -1.0, 1.0, 1.0, 1.0,

            // (0, ±1/φ, ±φ)
            0.0, -r, -t, 0.0, -r, t,
            0.0, r, -t, 0.0, r, t,

            // (±1/φ, ±φ, 0)
            -r, -t, 0.0, -r, t, 0.0,
            r, -t, 0.0, r, t, 0.0,

            // (±φ, 0, ±1/φ)
            -t, 0.0, -r, t, 0.0, -r,
            -t, 0.0, r, t, 0.0, r
    );

    val indices = listOf(
            3, 11, 7, 3, 7, 15, 3, 15, 13,
            7, 19, 17, 7, 17, 6, 7, 6, 15,
            17, 4, 8, 17, 8, 10, 17, 10, 6,
            8, 0, 16, 8, 16, 2, 8, 2, 10,
            0, 12, 1, 0, 1, 18, 0, 18, 16,
            6, 10, 2, 6, 2, 13, 6, 13, 15,
            2, 16, 18, 2, 18, 3, 2, 3, 13,
            18, 1, 9, 18, 9, 11, 18, 11, 3,
            4, 14, 12, 4, 12, 0, 4, 0, 8,
            11, 9, 5, 11, 5, 19, 11, 19, 7,
            19, 5, 14, 19, 14, 4, 19, 4, 17,
            1, 12, 14, 1, 14, 5, 1, 5, 9
    );

    // TODO: assign texture uv coordinates
    // cylindrical? spherical?
    // billboarding pentagons?
    // unwrap?
    val uv = Vector2(0.0)
    val ii = indices.iterator()
    while (ii.hasNext()) {
        val tri = List(3) {
            val i = ii.next()
            Vector3(vertices[i * 3],
                    vertices[i * 3 + 1],
                    vertices[i * 3 + 2]) * radius
        }
        val up = (tri[1] - tri[0]).cross(tri[2] - tri[0]).normalized
        writer(tri[0], up, uv)
        writer(tri[1], up, uv)
        writer(tri[2], up, uv)
    }
}




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