There are many great Thesaurus words for "intrigue" - appeal, attract, bait, captivate, charm, delight, enchant, excite, fascinate, grab, hook, interest, pique, rivet, titillate.
The peony is one of my favorite flowers because the range of colors, size and fullness they achieve. This one was given to us by the Bates' and we made a whole row of them. When they bloom they are so appealing to my senses because they are always in part shade making them have such dramatic shadows - wouldn't you agree. I find this one captivating because of all the various values and color palette the white flower has. Do you see the range of colors? Red violet, blue, violet, yellow, green, white and a touch of orange - the whole spectrum is visible in just one white flower, amazing! Imagine it as a painting, quilt or colored pencil piece, it would be a huge challenge but the end results would be riveting.