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Shapeways: Bring your creativity to life in 3D

Mathematical shapes and forms.
http://www.shapeways.com/forum/index.php?t=rview&goto=35666&th=6579#msg_35666
<![CDATA[There are many beautiful, simple and complex, mathematical shapes which lend themselves for 3d printing, so I thought it nice to have an open topic to post and discuss variations.<br />
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Inspired by the Klein (Eight) discussion, that seems like a good start:<br />
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As mentioned in the other topic, for now I only have the basic version of the Klein Eight but am hoping to find something more interesting hidden in it.<br />
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<a href="http://www.shapeways.com/model/337239/klein_eight.html?gid=sg4834" target="_blank"> http://www.shapeways.com/model/337239/klein_eight.html?gid=s g4834</a><br />
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virtox
20111002T11:43:0600:00

Re: Mathematical shapes and forms.
http://www.shapeways.com/forum/index.php?t=rview&goto=35669&th=6579#msg_35669
<![CDATA[<img src="http://www.shapeways.com/forum/images/smiley_icons/icon_smile.gif" border=0 alt="Smile"><br />
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Here's a few variations from Kelin 8 to inspired models based on the shape.<br />
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<a href="http://www.shapeways.com/model/271125/" target="_blank">Figure 8 Klein Mobius</a><br />
<a href="http://www.shapeways.com/model/271567/" target="_blank">Figure 8 Klein Mobius 12mm</a><br />
<a href="http://www.shapeways.com/model/271570/" target="_blank">Double Flat Oval Mobius</a><br />
<a href="http://www.shapeways.com/model/271723/" target="_blank">Triangluar Figure 8 Klein</a><br />
<a href="http://www.shapeways.com/model/272566/" target="_blank">Hourglass Figure 8 Klein Mobius</a><br />
<a href="http://www.shapeways.com/model/274682/" target="_blank">Hourglass  Double Mobius</a><br />
<a href="http://www.shapeways.com/model/274686/" target="_blank">Hourglass  Double Mobius  Small</a><br />
<a href="http://www.shapeways.com/model/274329/" target="_blank">Spiralling Figure 8 With 360 Degree Twist</a><br />
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And now for the big surprise... I used no equations or complicated maths to create the models.<br />
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stop4stuff
20111002T11:55:5900:00

Re: Mathematical shapes and forms.
http://www.shapeways.com/forum/index.php?t=rview&goto=35670&th=6579#msg_35670
<![CDATA[Carlo SÃ©quin's paper and art from the 2011 Bridges conference looks very relevant:<br />
<br />
<a href="http://www.cs.berkeley.edu/~sequin/PAPERS/2011_Bridges_ToriStori.pdf" target="_blank"> http://www.cs.berkeley.edu/~sequin/PAPERS/2011_Bridges_ToriS tori.pdf</a><br />
<br />
<a href="http://gallery.bridgesmathart.org/exhibitions/2011bridgesconference/sequin" target="_blank"> http://gallery.bridgesmathart.org/exhibitions/2011bridgesc onference/sequin</a>]]>
henryseg
20111002T11:58:1300:00

Re: Mathematical shapes and forms.
http://www.shapeways.com/forum/index.php?t=rview&goto=35671&th=6579#msg_35671
<![CDATA[<img src="http://www.shapeways.com/forum/images/smiley_icons/icon_smile.gif" border=0 alt="Smile"> The fun thing I find about these shapes is, you hardly need math, imagination is usually enough.<br />
(hmm Imathination anyone?)<br />
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While I like to challenge myself and do them mathematically, the formula used in the end basically comes down to:<br />
A figure eight going round a circle and doing a 180<br />
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@henryseg, thanks, very insightful, there goes my lazy sunday afternoon <img src="http://www.shapeways.com/forum/images/smiley_icons/icon_wink.gif" border=0 alt="Wink"><br />
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Woah! The actual double Klein bottle in that paper DOES rock my boat <img src="http://www.shapeways.com/forum/images/smiley_icons/icon_smile.gif" border=0 alt="Smile"><br />
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virtox
20111002T12:00:5200:00