CirclePoints gives points evenly spaced around a circle.

Draw the 5 corners of a pentagon (5-sided polygon):

Connect the points with a line:

The bottom of the pentagon is missing because the line is drawn from the first point to the last point, but not back to the first point again.

This gives a list of every pair of numbers (“2-tuple”) drawn from the list {1,2,3}:

This gives a list of every pair of points drawn from the list of three points evenly spaced around a circle:

Map (/@) applies a function, like Line, to every element of a list.

Draw a line connecting each pair of points:

Table makes lists of things.

This makes a list of numbers from 4 to 20 in steps of 1:

This makes a list of figures with 4 to 20 points:

Replace Table with Manipulate to get a slider that you can control the number of points with:

We’re going to need a few new concepts to make a colored line figure. Let’s take it in small steps.

A pure function is a function that doesn’t have a name.

This pure function (indicated by # and &) adds 1 to a number:

Use the pure function with Map (/@) to add 1 to every number in a list:

An equivalent way to write the same thing is to use the function Map instead of the /@ shorthand:

MapIndexed is like Map. In fact, you get the same result if you use MapIndexed instead of Map:

But MapIndexed makes the list position of each element the function is applied to available to the function. Use #2 to get the position:

Use First to extract the position number from the list:

You’ll use the list position to specify the colors of lines in a line figure.

Hue gives different colors for different values between 0 and 1:

You can use Hue to color objects in Graphics:

Now you have all the concepts you need to color the lines in a figure.

This is the basic figure with black lines:

Use MapIndexed to color the lines according to their positions in the list. Dividing the Hue value by 12 gives 12 different colors of lines:

Add color to the interactive figure:

Deploy the Manipulate to the Wolfram Cloud, where anyone with a browser can use it:

Click the link in the output to visit the site.

Tell the world about your creation by sharing the link via email, tweet or other message.