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Sand Spirograph

by burton15, published

Sand Spirograph by burton15 Aug 17, 2015

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Thing Info

36923Views 2440Downloads Found in Math
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Summary

My sand spirograph brings math from your school desk to the beach.

About the design:
Modeled in Blender with the original Spirograph toy in mind that I used to have when I was little. I tried to keep the list of printed parts minimal by creating a two-gear system instead of a more complex scissor extension arm. A unique feature of my design is the guide wheel that supports the tracing gear to keep it level and from falling into the sand while still allowing the gear to rotate

Assembly: (same for both large and small designs) See video for visual
1.) Assemble the tracing gear with the tracing pins at any of the four holes into the top face of the gear. You may use any combination of the pinholes.
2.) Stack the base, guide wheel, and then tracing gear.

How To Use:
Large sand spirograph
1.) Find moist sand and make a flat surface with it. Sprinkle a thin layer of dry sand on the top for a more contrasting result.
2.) Place the sand spirograph on top of the sand surface, then turn the tracing gear by holding the gear's handle and guiding it in a circular pattern.
3.) After making as many revolutions as you like, lift the entire sand spirograph off the sand to see your spirograph creation.

Small sand spirograph
1.) Using the blank castle mold and fine, moist sand, create a blank puck shaped castle. Sprinkle a thin layer of dry sand on the top for a more contrasting result.
2.) Place the small spirograph assembly over the sand "puck."
3.) Turn the tracing gear by holding the gear's handle and guiding it in a circular pattern.
4.) After making as many revolutions as you like, lift the entire sand spirograph off the sand to see your spirograph creation.

Spirograph background info:
The spirograph is a toy that produces mathematical roulette curves. My design creates a hypotrochoid roulette curve with the parametric equations:
     x(θ) = (R - r) cos(θ) + d cos((R - r) / r)
     y(θ) = (R - r) sin(θ) - d cos((R - r) / r)
where r is the radius of the inner tracing gear.
R is the radius of the fixed gear on the base of the assembly.
d is the distance of the tracing pin from the center of the inner tracing gear.

The spirograph was invented by mathematician Bruno Abakanowicz around 1881 and was used to calculate the area delimited (bounded) by curves. Drawing toys using gears started to become popular around 1908 when the Sears catalog advertised The Marvelous Wondergraph. The Spirograph toy brand was started in 1965 by Denys Fisher and named 1967 Toy of the Year. It was a 2014 Toy of the Year finalist.

Instructions

Assembly: (same for both large and small designs) See video for visual
1.) Assemble the tracing gear with the tracing pins at any of the four holes into the top face of the gear. You may use any combination of the pinholes.
2.) Stack the base, guide wheel, and then tracing gear.
https://youtu.be/xREpIZMOoRM

How To Use:
Large sand spirograph
1.) Find moist sand and make a flat surface with it. Sprinkle a thin layer of dry sand on the top for a more contrasting result.
2.) Place the sand spirograph on top of the sand surface, then turn the tracing gear by holding the gear's handle and guiding it in a circular pattern.
3.) After making as many revolutions as you like, lift the entire sand spirograph off the sand to see your spirograph creation.

Small sand spirograph
1.) Using the blank castle mold and fine, moist sand, create a blank puck shaped castle. Sprinkle a thin layer of dry sand on the top for a more contrasting result.
2.) Place the small spirograph assembly over the sand "puck."
3.) Turn the tracing gear by holding the gear's handle and guiding it in a circular pattern.
4.) After making as many revolutions as you like, lift the entire sand spirograph off the sand to see your spirograph creation.

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This comment has been deleted.

This is great. I know you went for minimal pieces but I find myself wanting the variety of many different gear ratios. The stabilizing insert is awesome. It should come with all Spirograph sets.

This is great-- and the video is so helpful, too. Can't wait to try this one out!

please explain this win?

Post your design to Thingiverse. You can modify your design anytime up until the August 15 deadline. See the Challenge Entry Tips for ideas on making your entry as effective as possible.

this one is placed after the deadline on aug 17 2015?!

Aug 22, 2015 - Modified Aug 22, 2015
burton15 - in reply to Byctrldesign

Byctrldesign,
This model was submitted before the deadline of 11:59 pm EST 8/16/2015. Thingiverse takes submissions that are within an hour or two (10-11pm EST) before the deadline and places a published date for the following day. This is also demonstrated on the Analytics pages for all users where the day separation is ahead of EST zone. I hope this clears things up for you.

Aug 21, 2015 - Modified Aug 21, 2015
antodelg - in reply to Byctrldesign

This contest was rigged....

  • "Thingiversity Math Challenge: Build A Castle: Make your own 3D printed ---->>>>>SAND CASTLE MOLDS<<<<<---- and show off your mathematics at the beach!"

  • Deadline: Aug 16, 2015 11:59 PM EDT
This comment has been deleted.
Aug 22, 2015 - Modified Aug 22, 2015
antodelg - in reply to burton15

And where is the castle? xD

Don't get me wrong, your creation is a masterpiece, but it's not a "sand castle mold"

Aug 22, 2015 - Modified Aug 22, 2015
burton15 - in reply to antodelg

Check out the pictures. In addition, everyone's designs were up for interpretation by the judges of the competition. If your interpretation is that it is not a castle, then try to look past your judgement and try to enjoy the model. It is meant to be fun.

im thinking the designer of this 'thing' didnt get alot (or any) autism creating forced vaccinations !!!!

do u guys get like a metal or a ribbon for winning a contest here, check ? a graphic ribbon on your 'thing' ?

hey man, u put stuff out so professionally, one wonders if you are a paid designer !!!

I was feeling pretty good about my place in the contest until I saw this. Damn this is a good model. Nice work.

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