I'd like to recreate the white, black and red background used in this poster. I prefer using Illustrator.
Draw a red and brown triangle shape as shown below (to the right). Group them, and in the Appearance panel, apply a transform effect as shown.
Add a cream coloured rectangle for the background to cover the entire page, and send to back. Draw another rectangle on top just inside the page boundary, then select the transformed object and the top rectangle. Click Object > Clipping Mask > Make.
Not exactly same as yours but this tutorial will help you imho: http://projectwoman.com/2014/01/multicolor-sunburst-in-illustrator.html