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#spirograph

1 post1 participant0 posts today
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myrmepropagandist

Used the laser cutter to make a holder for my class set of spirographs — for the lessons I like to do my students need to know how many teeth the gears have. They write a program that produces the same curve using turtle. (with older students we do the trig, which I just call “magic circle functions” for the grade fives)

This will make it all go much smoother!
This is 8 sets packed into one box!
#math #mathEducation #teaching #spirograph #mathematics #k12 #hypotrochoid #trigonometry

A cardboard holder with labeled holes for spirograph rings.
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Michael K Johnson

Every time my favorite mathematician uses these to teach #math exploration, she asks me to print a few more. (Sometimes she gives a few away, too!) More or less every time I do that, I tweak the design to improve it. This weekend, the tweak was chamfering the teeth on the ring slightly, which improves the print quality of the top of the ring, which is then flipped over to use and becomes the bottom.

If you ever played with #spirograph as a kid and liked the beautiful drawings, download this set and after a few hours of #3DPrinting you can play again!

cults3d.com/en/3d-model/game/h

Cults 3DHypotrochoid graph drawing gear setA 3D printable set of gears to draw [Hypotrochoids](https://en.wikipedia.org/wiki/Hypotrochoid), similar to one of the usages of [Spirograph](https://en.wikipedia.org/wiki/Spirograph), The OBJ files are printable as provided. Choose slicer settings for high quality; artifacts from roughness on the teeth will make the set work poorly and/or be visible in the drawings. To use, flip the rings over, so that the flange is above the teeth. The flange helps hold the teeth of the gears down so they don't jump out. The gears are used as printed. The upper tips of the gears are chamfered to keep them from catching on the flange. If you want to make other size rings and gears, the FCStd files were created with [FreeCAD](https://www.freecad.org/) 0.20.2 and the [FCGear workbench](https://wiki.freecadweb.org/FCGear_Workbench). You will need the FCGear Workbench installed to make modifications. In FreeCAD, select the gray **InvoluteGear** in the **Gear**, or the gray **InternalInvoluteGear** in the **Ring**, and then change the **base** property **teeth** to the number of teeth you want. (If you want a **Gear** with fewer than 15 teeth, you might need to edit the **Drawing Holes Pocket** sketch and delete some holes near the center, and increase the spacing between the holes.) Then select the **Body** and **File → Export** to save. If you would like larger teeth (and, naturally the resulting size), change the **base** property **module** from 2mm to 3mm for both the **Ring** and the **Gear** and regenerate all the rings and gears you wish to use. This model is kept up to date at https://gitlab.com/mcdanlj/HypotrochoidGraph
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