## 20264 Reputation

15 years, 346 days

## Polygons of the matches...

Maple

We assume that the length of a match is 1, then the perimeter of a polygon is equal to the number of matches N. If a match can be located at arbitrary angles to each other, then at a given perimeter of the area can take on any value between zero and the area of a regular polygon (for even number of matches) . For an odd number of matches the lower bound equals to the area of an equilateral triangle of side 1. For any given area within these boundaries will be infinitely many solutions.

## Partitions of a natural number into fact...

Maple has  combinat [composition] (n, m)  command, which returns all possible lists of positive integers of  m  terms, the sum of which in each list is n. But there is no similar command for multiplication.

Wrote recently procedure  Factoring, which solves this problem. Formal arguments:  n> 1 - an integer, m - an optional parameter...

## Two variants...

My answer in this topic does not load for some reason, so I had to create this post.

Variant of solution:

## Example of animation...

Maple

At first I wanted to post this message as a response to a question

But for some reason the message is not loaded.

Look at the example of animation of astroid. First you need to create animation frames as separate graphical structure (in my example - it is E[k] ). And only then by  plots [display]

## Another animation of heart shape...

Maple

This post is continuing the theme of "animate implicitplot (a heart shape)". I tried to send a reply within this theme, but for some reason, my message is not loaded

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