Customized where-dial gear cutting

[goatchurchprime]

The rim is here: https://github.com/johnmckerrell/WhereDialBody

But we really want properly shaped gear teeth, like shown here:
https://geargenerator.com/#200,200,100,6,1,3,0,4,1,8,2,4,27,-90,0,0,0,0,0,0,16,4,4,27,-60,0,0,0,0,1,1,12,1,12,20,-60,0,0,0,0,2,0,60,5,12,20,0,1,0,0,0,0,0,3,-515

However, it possibly does not apply as the gear is positioned by gravity rather than by fixed axles, so is deeper in the teeth than would be if held in position.

And to be able to fill in the 12 rotated words for etching, before cutting on the laser cutter.

[goatchurchprime]

Here's the hacky script to generate a numeric wheredial.

Need to load the output into inkscape, select the words, convert object to path, and then save as dxf.

Should cut 3mm acrylic with: engrave 250 50, cut at 12 70

import math
def dsin(a):  return math.sin(math.radians(a))
def dcos(a):  return math.cos(math.radians(a))

svgtemplate = """<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg
   xmlns:svg="http://www.w3.org/2000/svg"
   xmlns="http://www.w3.org/2000/svg"
   width="210mm"
   height="297mm"
   viewBox="-100 -100 210 297">
    <defs>
        <path id="textguide1" d="M0,-{textrad:} A{textrad:},{textrad:},0,0,1,{textrad:},0"/>
    </defs>
    <circle
       style="opacity:0.98000004;fill:none;fill-opacity:1;stroke:#007c00;stroke-width:0.41600001;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       id="path2102"
       cx="0"
       cy="0"
       r="{circlerad:}" />
    <path
       style="opacity:0.98000004;fill:none;fill-opacity:1;stroke:#007c00;stroke-width:0.41600001;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="{gearpath:}" />
    <path
       style="opacity:0.98000004;fill:blue;fill-opacity:1;stroke:none;stroke-width:0.41600001;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="{trianglepath:}" />
  <g
     id="layer1">
{textblock:}         
  </g>
</svg>
"""

txtbit = """
        <text 
               style="font-style:normal;font-weight:normal;font-size:10.58333302px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
               transform="rotate(%.3f 0 0)">
            <textPath xlink:href = "#textguide1">
                %s
            </textPath>
        </text>
"""

words = ["zero", 
         ("one",1), ("two",1), "three", "four", "five", 
         "six", "seven", "eight", "nine", "ten", ("eleven",3)]

ginnerrad = 61
gouterrad = 66
gearteeth = 60
toothang = 360/gearteeth
toothtransrad = 10
toothwidth = toothang*0.39
toothtrans = toothang*0.05
circlerad = 85
textrad = 74

triangleinnerrad = 66.9
triangleouterrad = 70
triangledegwidth = 3

stxtblock = [ ]
for i, w in enumerate(words):
    dpos = 0
    if type(w) == tuple:
        dpos = w[1]
        w = w[0]
    dpos += len(w)*2
    stxtblock.append(txtbit%(i/len(words)*360-dpos, w))
txtblock = "\n".join(stxtblock)

strianglepath = [ ]
for i in range(len(words)):
    ttip = i/len(words)*360
    tleft = ttip-triangledegwidth/2
    tright = ttip+triangledegwidth/2
    strianglepath.append("M%.3f,%.3f" % (triangleinnerrad*dsin(ttip), triangleinnerrad*dcos(ttip)))
    strianglepath.append("L%.3f,%.3f" % (triangleouterrad*dsin(tleft), triangleouterrad*dcos(tleft)))
    strianglepath.append("L%.3f,%.3f" % (triangleouterrad*dsin(tright), triangleouterrad*dcos(tright)))
    strianglepath.append("Z")
trianglepath = " ".join(strianglepath)

toothstartang = -(toothang-toothwidth-2*toothtrans)/2
sgearpath = ["M%.3f,%.3f" % (gouterrad*dsin(toothstartang), gouterrad*dcos(toothstartang))]
for i in range(gearteeth):
    t0 = i*toothang+toothstartang
    t4 = (i+1)*toothang+toothstartang
    t3 = t4 - toothtrans
    t2 = t3 - toothwidth
    t1 = t2 - toothtrans
    sgearpath.append("A%.3f %.3f 0 0 0 %.3f,%.3f" % (gouterrad, gouterrad, gouterrad*dsin(t1), gouterrad*dcos(t1)))
    sgearpath.append("A%.3f %.3f 0 0 0 %.3f,%.3f" % (toothtransrad, toothtransrad, ginnerrad*dsin(t2), ginnerrad*dcos(t2)))
    sgearpath.append("A%.3f %.3f 0 0 0 %.3f,%.3f" % (ginnerrad, ginnerrad, ginnerrad*dsin(t3), ginnerrad*dcos(t3)))
    sgearpath.append("A%.3f %.3f 0 0 0 %.3f,%.3f" % (toothtransrad, toothtransrad, gouterrad*dsin(t4), gouterrad*dcos(t4)))
gearpath = " ".join(sgearpath)


fout = open("test4.svg", "w")
fout.write(svgtemplate.format(circlerad=circlerad, textrad=textrad, textblock=txtblock, gearpath=gearpath, trianglepath=trianglepath))
fout.close()