Nesting Cubes, Recursive Cubes, Cubes within Cubes
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####Nesting Cubes, Recursive Cubes, Cubes within Cubes
This design is a 7-cube that has a 5-cube that has a 3-cube that has a unit cube. Each unit cube is 10 mm^3. Tolerance is added to allow the cubes to slide (nest) into each other.
####About the files
1. Each cube has a bottom part and a top cover.
2. The regular versions have a 0.4 mm clearance all around; the loose versions have a 0.5mm clearance.
3. The top covers are the same as the clearance is added to the shells. The 3-cube top is the same as the unit cube.
In addition to the recursive and geometric structures, there are a few questions to explore:
1. How does the volume of a cube increase as we change the cube edge length from 1 unit, to 3, 5, and 7 units?
2. What is the difference between the volume of the 7-cube and that of the 5-cube?
3. How does one count the number of unit cubes if we take a 5-cube core out of a 7-cube? If one counts 7^2 cube on each face and multiply that by six, how shou
This design is a 7-cube that has a 5-cube that has a 3-cube that has a unit cube. Each unit cube is 10 mm^3. Tolerance is added to allow the cubes to slide (nest) into each other.
####About the files
1. Each cube has a bottom part and a top cover.
2. The regular versions have a 0.4 mm clearance all around; the loose versions have a 0.5mm clearance.
3. The top covers are the same as the clearance is added to the shells. The 3-cube top is the same as the unit cube.
In addition to the recursive and geometric structures, there are a few questions to explore:
1. How does the volume of a cube increase as we change the cube edge length from 1 unit, to 3, 5, and 7 units?
2. What is the difference between the volume of the 7-cube and that of the 5-cube?
3. How does one count the number of unit cubes if we take a 5-cube core out of a 7-cube? If one counts 7^2 cube on each face and multiply that by six, how shou
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