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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...

1 month 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...

1 month 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...

1 month 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...

1 month 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...

1 month ago

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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...

1 month 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...

1 month 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...

1 month 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...

1 month 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...

1 month 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...

1 month 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...

1 month 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...

1 month 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). ...

1 month 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). ...

1 month 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...

1 month 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...

1 month 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...

1 month 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...

1 month ago

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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)...

1 month ago

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Hexagonal Tiling Dots in a Circle
Return how many <http://en.wikipedia.org/wiki/Hexagonal_grid Hexagonal Tiling> grid points there are inside a circle of radius _...

1 month ago

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Shifted Hexagonal Tiling Dots in a Circle
Return how many <http://en.wikipedia.org/wiki/Hexagonal_grid Hexagonal Tiling> grid points there are inside a circle of radius _...

1 month ago

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Property dispute!
Two neighbors have rectangular plots of land A and B. The surveyors give you the coordinates of each. If they overlap, there is ...

1 month ago

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Dots in a Diamond
Return how many <http://en.wikipedia.org/wiki/Diamond_cubic Diamond Cubic> lattice grid points there are inside a 3D sphere of r...

1 month ago

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Determine if a Given Number is a Triangle Number
*Description:* Determine if the elements of an input array are triangle numbers and return the result as an array with the sa...

1 month ago

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Parasitic numbers
Test whether the first input x is an n-parasitic number: <http://en.wikipedia.org/wiki/Parasitic_number>. ( _n_ is the second in...

1 month ago

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Kaprekar numbers
Test if the input is a Kaprekar number: <http://mathworld.wolfram.com/KaprekarNumber.html>. Return a logical true or false. ...

1 month ago

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Narcissistic number ?
Inspired by Problem 2056 created by Ted. In recreational number theory, a narcissistic number is a number that is the sum of ...

1 month ago

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Polygonal numbers
The task of <http://www.mathworks.co.uk/matlabcentral/cody/problems/5 Problem 5> is to calculate triangular numbers. By playing ...

1 month ago

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Polite numbers. N-th polite number.
A polite number is an integer that sums of at least two consecutive positive integers. For example _7 = 3+4_ so 7 is a polite...

1 month ago