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Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3

7cube.gif Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
28ce60cfb9c6c210fac92a0625e87d10_preview_featured.jpg Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
77621d171ae8d68dccb3981ac03649fc_preview_featured.jpg Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
f2cb06647ac2931cfdb146452bc0c300_preview_featured.jpg Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
5x5x5.stl Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
6x6x1.stl Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
6x6x1x6_spaced.stl Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
seven_cubed_ALL.stl Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
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Creation quality: 5.0/5 (1 vote)
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3D design format
STL Folder details Close
  • 5x5x5.stl
  • 6x6x1.stl
  • 6x6x1x6_spaced.stl
  • seven_cubed_ALL.stl

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Publication date 2018-08-02 at 09:18
Design number 29613
LGBU

LGBU

3D printer file info

3D model description

Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
This is irresistible, especially when you have a 3D printer. A 7-cube is the sum of one 6-cube, one 5-cube, and two unit cubes, namely, 7^3 = 1^3 + 1^3 + 5^3 +6^3. The 6-cube is sliced into six 6-squares, which wrap around the 5-cube, only to leave two corners for the two unit cubes to fit in! Here you see the beautiful connections between arithmetic and geometric symmetries!

Each unit cube is 10 mm ^3. You need two unit cubes, a 5-cube, and six 6-squares to play around.

Please consider using โ€œvase modeโ€ when printing, to save time and filament.

Reference
Frederickson, Greg N. (2009). Casting Light on Cube Dissections. MAA Mathematics Magazine, pp. 323-331.

3D printing settings

Rafts:

No

Supports:

No

Resolution:

0.15-.2mm

Infill:

0-5%

Notes:
Please consider using "vase mode" in printing to save time and filament.

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