Create a given artisan 3D pancake

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Reference no: EM131711049

Topic: Python

Welcome to your new job at the House of Geometric Pancakes, where we serve artisan pancakes of only the most abstract 3-dimensional design. Each pancake is a one-of-a-kind work of art, and can be expressed as a series of overlapping rectangular prisms in 3-dimensional space.

While we do employ a large staff of pancake-artists, your position is more computational than artistic; you are tasked with determining how many cubic units of batter (to some given degree of accuracy) is required to create a given artisan 3D pancake defined by a given blueprint, where each blueprint consists of

1. How many rectangular prisms are needed to describe their artisan 3D pancake?

2. The desired degree of accuracy with respect to how many cubic units of batter are required?

3. Several lines, each consisting of 6 floating point numbers, each defining a single rectangular prism in 3D space?

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Reference no: EM131711049

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len1711049

11/8/2017 12:22:59 AM

You may assume every floating point number given to you may be stored in a double precision float, and every integer value given may be stored in a standard int. All values in the same line are tab separated. The only libraries allowed are numpy, scipy and standard Python Built-ins. The simplest way to solve this problem is through integration. You can integrate the volume of individual rectangular prisms and then remove the overlapping volumes that have been added in multiple times. Or you can calculate the number of rectangular prisms using the degree-of-accuracy factor and then integrate that volume and add them up. You are NOT allowed to get code off the internet for this project.

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