Some "rainy season" this is! It hasn't rained in a month and a half.
But still, I went wandering in the desert today in search of the first winter wild flowers.
This plant was a total surprise; I've never seen anything like it!
Please, enlarge the photo with a click and then another click and see if you might recognize it and know the name.
UPDATE! Wait! My nature expert nephew has just come through with the answer and also a great resource: the Hebrew University's Flora of Israel Online ! (The Hebrew page of the flower is here.)
It is a Leontice leontopetalum L. Berberidaceae. Its common name in German is Loewenblatt or Loewentrapp
or in Hebrew, Artanit hasadot עַרְטָנִית הַשָּׂדוֹת