This is Amazing Stories for January 1950, cover by Arnold Kohn. The ISFDB entry for this issue is here. I found this version of the cover at Pulp Covers. You can download and read the entire issue (missing its front cover, sadly) from the Internet Archive.
My original tumblr post was here. This animation was researched by Bacchus at ErosBlog as part of the “Δ commission.” The research was originally published at Hedonix as Here is what Bacchus found.
The source Tumblr post in this animation’s Tumblr chain of attribution is at a Tumblr blog called “SOME WANEELLA’S PIXEL ART” which gives every appearance of being the artist’s blog for posting original artwork. Many animations in similar style (including some with “Waneela” in the design and some with very similar computer panel animations) may be found there.
Although little information about artist Waneella is available, one blogger has opined:
Visually, Waneella’s animated pixel art is an intentional retro callback to video games made in the 80s and early 90s. Conceptually, the images honor a time past; these images are a love letter to past days, when imagination was encouraged, respected, and rewarded.
“The dance comes from here…”
(Click on the image for larger size. 
Gnosis Transformations: Chapter Five, Page Eighteen written and commissioned by Dr. Faustus of EroticMadScience.com and drawn by Lon Ryden is published under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.)
Furry fans, rejoice a lot.
(Click on the image for larger size.
Gnosis Transformations: Chapter Four, Page Pin-up written and commissioned by Dr. Faustus of EroticMadScience.com and drawn by Lon Ryden is published under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.)