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Extended side Pentagon Angle Sum

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Creation quality: 5.0/5 (1 vote)
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  • 12 downloads

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  • tinker.obj

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3D model size X 80 Γ— Y 127 Γ— Z 5.7 mm
Publication date 2021-02-03 at 00:43
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Published to Thingiverse on: 2018-05-22 at 01:32
Design number 282280

3D printer file info

3D model description

A pentagon tray that holds triangles each layed off at right angles so if a side was extended like the actual design, you can see two right angles. If you take the triangles and place them with each of their smallest angles ( 18 degrees ) and stuff them into the exterior angle created from the extended wall you will notice the 5 triangles in the tray of the pentagon can demonstrate that their smallest angles all added together equal a right angle.
This was my original idea meaning I actually made this thing and did not copy anyone, that said; I did derive this from a geometry homework problem from Dan Jackson's class. The homework problem makes you prove how if you extend every wall of the pentagon once each in the same direction creating 5 exterior angles, that those 5 exterior angles add up to 4 right angles. Thanks for reading if you did, and I hope you enjoyed this concept and maybe learned something.

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