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rectangle in circle
In the figure below, the rectangle at the corner measures a cm x b cm. What is the radius of the circle in cm? <<http://www....

7 days ago

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Avalaible area: wall construction
You need to build a wall to enclose a certain area. Calculate the available area after you build the wall. Assumptions * ...

7 days ago

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Wayfinding 3 - passed areas
This is the third part of a series of assignments about wayfinding. The final goal of this series is to be able to calculate the...

7 days ago

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Wayfinding 2 - traversing
This is the second part of a series of assignments about wayfinding. The final goal is to be able to calculate the fastest route...

7 days ago

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Wayfinding 1 - crossing
This is the first part of a series of assignments about wayfinding. The final goal is to be able to calculate the fastest route ...

7 days ago

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Pairwise Euclidean Distance
Given two matrices A,B of dimensions NxK and NxL respectively, calculate the pairwise euclidean distance of all vectors (columns...

7 days ago

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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...

7 days ago

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distance to a straight line (2D) given any 2 distinct points on this straight line
Given 2 points P1,P2 on a straight line and a 3rd point, determine the distance of the 3rd point to the straight line. Your answ...

7 days ago

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Vector parallel to plane?
Given the coefficients of the equation which defines a plane as follows: ax+by+cz=d, return a boolean indicating whether the 2n...

7 days ago

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Parallel vectors
Return true or false depending on whether 2 vectors are parallel or not. Vectors can be 2 or 3 dimensional. The origin is not c...

7 days ago

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Esoteric Trigonometry
From Wikipedia: "All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle cen...

7 days ago

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Do the line-segments intersect?
You are given two line segments. Do they cross? Consider one segment as (x1,y1) to (x2,y2), the other segment as (x3,y3) to (x4...

7 days ago

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Distance between two GPS Coordinates
A problem that arises when performing geographically weighted regression is determining the distance between GPS coordinates. GI...

7 days ago

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LASER Tracker - Mirror Distance and Angle
Determine the mirror's distance and relative angle to the LASER Tracker given the distances to a reference SMR (Spherical Mounte...

7 days ago

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Crossing to Kissing - Untangle the Lines
Turn lines that cross into lines that kiss. You will be given two lines that cross at some point. Your job is to untangle the...

10 days ago

Solved

Volume difference between Ellipsoid and Sphere
Given an ellipsoid of semi principal axis (a,b,c) find the volume of the difference between this ellipsoid and the sphere with...

10 days ago

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Points on a Sphere
Given a sphere of radius R, determine how many points on the surface of that sphere have three integer coordinates. Do not outp...

10 days ago

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Geometry: Find Circle given 3 Non-Colinear Points
*This Challenge is to determine the center and radius of a circle given three non-colinear points.* *Input:* Points *Outpu...

10 days ago

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Perimeter
Given a sequence of points forming a closed path (first and last points are coincident) return the perimeter value. For example...

10 days ago

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Points on a circle.
This problem is related to <url=http://www.mathworks.com/matlabcentral/cody/problems/1283-points-on-a-sphere>Problem 1283, Point...

10 days ago

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Number of lattice points within a circle
Find the number of points (x,y) in square lattice with x^2 + y^2 =< n. This is related to Jame's <http://www.mathworks.com/matla...

10 days ago

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Find the optimal shape to bring the maximum product by a given perimeter
Find the optimal shape (with Nopt sides, where Nopt is at least 3) to bring the maximum product of the sides length, given a spe...

10 days ago

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Volume of a Simplex
Return the volume of a <http://en.wikipedia.org/wiki/Simplex regular _n_-simplex> with a unit side length. Results are up to...

10 days ago

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Edges of a n-dimensional Hypercube
Return the number of edges on an <http://en.wikipedia.org/wiki/Hypercube _n_-dimensional hypercube> (with an integer n ≥ 0). ...

10 days ago

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Dots in a Circle
Return how many integer grid points there are inside a circle of radius _r_ centred at (0,0) (including points on the edge). ...

10 days ago

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Minimum Distance Point to Segment
This Challenge is to determine the minimum distance from a 2-D line segment defined by two points to a point. The point is (p...

10 days ago

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Minimum Distance between two N-sided Polygons
This Challenge is to determine the minimum distance between two non-overlapping polygons. The input is a cell array of two vecto...

10 days ago

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Beads on a Necklace (Convex Hulls)
We may describe a <http://en.wikipedia.org/wiki/Convex_hull convex hull> as a rubber band stretched around a list of points. Som...

10 days ago

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Triangular Tiling Dots in a Circle
Return how many <http://en.wikipedia.org/wiki/Triangular_tiling Triangular Tiling> grid points there are inside a circle of radi...

10 days ago

Solved

Dots in a Sphere
Return how many integer grid points there are inside a 3D sphere of radius _r_ centred at (0,0,0) (including points on the edge)...

10 days ago