Problem 2175. Slicing the cube
A bored matlab enthusiast has a cube with volume n^3. He decides to paint the entire surface of the cube red. Then, with slices parallel to the faces of the cube, he cuts the cube into 1x1x1 cubes.
Some cubes are completely free of paint:x
Some cubes are painted red on only one side:y
Some cubes are painted red on two sides:z
Help him find x,y & z
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Computational Geometry III
- 20 Problems
- 9 Finishers
- LASER Tracker - Mirror Distance and Angle
- Distance between two GPS Coordinates
- Spherical surface triangulation
- Do the line-segments intersect?
- Esoteric Trigonometry
- LASER Tracker - Mirror Distance and Angle
- Do the line-segments intersect?
- Spherical surface triangulation
- Parallel vectors
- Vector parallel to plane?
- distance to a straight line (2D) given any 2 distinct points on this straight line
- Slicing the cube
- Pairwise Euclidean Distance
- Wayfinding 1 - crossing
- Wayfinding 2 - traversing
- Wayfinding 3 - passed areas
- Avalaible area: wall construction
- rectangle in circle
- Distance between two GPS Coordinates
- Cut an orange
- Packing oranges - one layer
- Radiation Heat Transfer — View Factors (1)
- Radiation Heat Transfer — View Factors (2)
- Radiation Heat Transfer — View Factors (3)
- Esoteric Trigonometry
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