There are some cases (especially internal sites) where we should display the Jetpack logo, and we have added config to the new customization controls.
Here are designs:


There is a logo and display available in https://github.com/Automattic/wp-calypso/tree/master/client/components/jetpack-colophon and https://wpcalypso.wordpress.com/devdocs/design/jetpack-colophon
These should link to https://jetpack.com/support/search/ for now.
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Can we drop the icon in the search input at smaller breakpoints?
Adding a few more options for the input icon here:

Can we drop the icon in the search input at smaller breakpoints?
I think we should, yes.
@keoshi my 2 cents... I like (e) the most for the inverted colors which feel lighter weight and subtle. I like (a) the most for the longer handle. (e) looks too much like the logo inside of a Q. If I was only picking between these five I would choose (a).
Maybe we can also create a button with the icon that a user can easily add to their site (code snippet I guess) that will activate the search overlay. For instance, on jetpack.com it would be good to just add a button to the header.
Added the "Search powered by Jetpack" colophon in #14519.
@keoshi Could you upload the SVG for icon A? I'm currently working with a vectorized version of your screenshot, which probably isn't ideal 😉.
@jsnmoon My bad — was at the JP GM last week and just saw your comment above. Should I adjust it directly on https://github.com/Automattic/jetpack/pull/14629/ ?
@keoshi Yup, that sounds great. There are some rough edges in #14629 that would benefit from your guidance. Thanks!
Fixed by #14519 and #14629.
A couple of comments on the icon here, sorry if I didn't catch it before.
Note: we should be very careful in using branding in a UI component. There are exceptions, but as a rule of thumb, _be wary of using the logo in a UI element._
In this case, to me it doesn't just break that rule of thumb, but also doesn't seem to fit properly visually. The filled one isn't really a lens, and the diagonal 45° angle of it makes the logo feel "turned" off its axis (i.e. if you had a logo on the magnifying class, it would be aligned with the magnifying class axis).
My advice here is either:
I've been struggling with the idea of the magnifying glass but also didn't think too much of it. While I disagree on this point:
if you had a logo on the magnifying class, it would be aligned with the magnifying class axis
Because I believe the idea here is that the magnifying glass is hovering on the logo itself (which doesn't make much sense either way), but other that that nitpick I appreciate the feedback here @folletto — you've put into words what I couldn't quite put my finger on, and done it so clearly. 🌟
I agree that we should reduce the amount of branding, especially since we already offer the option of adding the credit on the footer, which feels way classier to me. If we get rid of the complex icon, the search UI is allowed to breathe much more too, like so:

I'll get a PR started.
Because I believe the idea here is that the magnifying glass is hovering on the logo itself
Yes: that is why option (e) works, as it's hollow and feels like hovering, but if it's full it doesn't as it feels like being part of it ;)
like so
It feels way lighter. :)
but if it's full it doesn't as it feels like being part of it ;)
Ha yes, of course — ignore me, still waking up. Thanks a ton for this piece of feedback!
Addressed @folletto's feedback on https://github.com/Automattic/jetpack/pull/14664/
Most helpful comment
A couple of comments on the icon here, sorry if I didn't catch it before.
Note: we should be very careful in using branding in a UI component. There are exceptions, but as a rule of thumb, _be wary of using the logo in a UI element._
In this case, to me it doesn't just break that rule of thumb, but also doesn't seem to fit properly visually. The filled one isn't really a lens, and the diagonal 45° angle of it makes the logo feel "turned" off its axis (i.e. if you had a logo on the magnifying class, it would be aligned with the magnifying class axis).
My advice here is either: