# Vertex, loop and draw along a vertex path

**URL:** <https://discourse.processing.org/t/vertex-loop-and-draw-along-a-vertex-path/4545>\
**Category:** Coding Questions\
**Created:** [October 16, 2018, 7:08pm UTC](https://discourse.processing.org/t/vertex-loop-and-draw-along-a-vertex-path/4545 "2018-10-16T19:08:15Z")\
**Posts on this page:** 1\
**Showing post:** 4

<div class="post-metadata">

**Author:** ![GoToLoop](https://yyz2.discourse-cdn.com/flex036/user_avatar/discourse.processing.org/gotoloop/32/86_2.png) [@GoToLoop](https://discourse.processing.org/u/GoToLoop)\
**Post date:** [October 17, 2018, 4:46am UTC](https://discourse.processing.org/t/vertex-loop-and-draw-along-a-vertex-path/4545/4 "2018-10-17T04:46:13Z")

</div>

And while I was at it, I did a Python Mode version too: 🐍

## “Knot3D.pyde”:

```python
"""
 * 3D Knot (2017/Dec)
 * Daniel Shiffman
 * https://YouTu.be/r6YMKr1X0VA
 *
 * Mod GoToLoop (v1.0.3) (2018/Oct/16)
 * https://OpenProcessing.org/sketch/608725 (pjs)
 * https://OpenProcessing.org/sketch/608726 (p5js)
 *
 * https://Discourse.Processing.org/t/
 * vertex-loop-and-draw-along-a-vertex-path/4545/4
"""

"""
 * http://PaulBourke.net/geometry/knots/
 * Knot 4 (1992/Oct):
 *
 * r(beta) = 0.8 + 1.6 * sin(6 * beta)
 * theta(beta) = 2 * beta
 * phi(beta) = 0.6 * pi * sin(12 * beta)
 *
 * x = r * cos(phi) * cos(theta)
 * y = r * cos(phi) * sin(theta)
 * z = r * sin(phi)
"""

ANGLE_STEP, BETA_STEP = .02, .01
MAG, SEGS_LIMIT = 100.0, PI + BETA_STEP
PI_DOT_6 = PI * .6

angle = beta = 0.0
paused = False

knots = []

def setup():
    size(600, 600, P3D)
    smooth(8)

    colorMode(HSB)
    noFill()
    strokeWeight(8.0)

def draw():
    global angle, beta

    background(0)
    translate(width>>1, height>>1)
    rotateY(angle)
    angle += ANGLE_STEP

    beta <= SEGS_LIMIT and addKnot()
    beta += BETA_STEP

    with beginShape():
        for k in knots:
            stroke(k.c)
            vertex(k.v.x, k.v.y, k.v.z)

def mousePressed():
    global paused
    paused ^= True
    noLoop() if paused else loop()

def keyPressed(): mousePressed()

def addKnot():
    r = MAG * (.8 + 1.6 * sin(6 * beta))
    theta = 2 * beta
    phi = PI_DOT_6 * sin(12 * beta)
    rCosPhi = r * cos(phi)

    x = rCosPhi * cos(theta)
    y = rCosPhi * sin(theta)
    z = r * sin(phi)

    knot = Knot(x, y, z)
    knots.append(knot)
    print '%d: %s' % (len(knots), knot)

class Knot:
    def __init__ (k, *vec):
        k.v = vec[0] if len(vec) is 1 else PVector(*vec)
        k.c = color(k.v.mag(), 255, 255)

    def __str__ (k): return 'Vec: %s \tHSB: %d' % (k.v, k.c)

```

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