#Perfecttableplan how to
#Perfecttableplan full
#Perfecttableplan software
#Perfecttableplan code

Just add info about your guests (like who should sit near who), decide the dimensions and styles of the furniture and click on the automatic layout button. PerfectTablePlan is definitely the easiest way to make a desk seating plan for your wedding, occasion or special event.

#Perfecttableplan full

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#Perfecttableplan code

If you want to be paid I need to be able to buy all rights to the code and it mustnвЂ™t be released into the public domain (i.e.

Ideally it should come with a simple GUI that allows me to set the value of N and D and see the result visually.

The code needs to be in a form I can easily convert to C++.

The solution must be returned in a reasonable time, ideally under 0.001 seconds and definitely less than 0.01 seconds.

it isnвЂ™t possible to get all the circles to touch if N <=6 (and possibly higher values of N depending on A/B).

Low values of N might need to set up as special cases.

The solution doesnвЂ™t need to be exact, but it has to look OK to the human eye.

To simplify things we can assume a fixed value of A/B, say 1.5.

Surely I am not the only person to have tackled this problem in human history? Can anyone point me at a workable solution? Preferably with code.ДЄlternatively can somebody write me the code to solve the problem? Maybe there is someone out there with a mathematical background that would relish the challenge? I am prepared to pay for working code that I can use in PerfectTablePlan (a few hundred dollars, negotiable). Several hours on Google didnвЂ™t turn up a solution. But if we pre-compute the angles of, say, 100 equally spaced points around E we could use these to interpolate the position of N circles where N is 0, IвЂ™m not sure.

#Perfecttableplan how to

I am less sure about how to work out the angle THETA for each circle.

For smaller N, CвЂ™ will diverge from N*D so we might have to use an iterative method to calculate A, but we can use the approach above to get a starting value for A and then iterate numerically from there. I can work out the approximate circumference CвЂ™ of an ellipse EвЂ™ that passes through the centre of all the seats (axes A+D and B+D) using the formula derived by Indian mathematical prodigy Ramunajan.ДЇrom this we should be able to work back to A. I have some vague ideas about how to tackle it. I doubt there is an exact analytic solution to this problem. Given N, D and the ratio A/B what is A? Given A, what is the angle THETA subtended by the centre of each circle to the centre of E?

Each circle touches the ellipse and each of its 2 neighbours at one point, as shown above. We have an ellipse E with axes A and B surrounded by N identical circles of diameter D. Placing the seats around the circle is then trivial.Д«ut my customers keep asking for oval (elliptical) tables, with that callous disregard customers have for how difficult a problem might be. But, after a bit of head scratching, I managed to work it out. It is a bit more complicated for circular tables. Calculating the table size is trivial for square or rectangular tables. This saves the user time and produces tidy looking floor plans.

#Perfecttableplan software

The user can optionally specify how many seats and let the software calculate a sensible table size so that all the seats touch the table and their neighbouring seats. One of the features of Perfect Table Plan is the drawing of tables and seats on scale floor plans. A geometry problem to be specific.Д¬ongratulations on reading this far. I need some help with a mathematical problem.