printing set of lines between patterns

[pybegin]

I have a requirement were in i need to print the lines between 2 patterns into files 
The text in the below format is available in a file. The requirement is to create a new file for each "StartPattern" and write the lines after it into the file till the "EndPattern" is reached. The StartPattern names change but the EndPattern is a constant string.  I'm new to python so unable to get a complete program to do it

<StartPattern1>
line1
line2
line3
line4
<EndPattern>

<StartPattern2>
line1
line2
line3
<EndPattern>

....
....
....

Example Output
============

1. StartPattern1.txt
2. StartPattern2.txt