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Quiz: What Paper Size?

Here’s another math problem inspired by real life! Each correct answer could earn you five dollars ($5) off any of our products or services (to redeem in person, just print and show your certificate).  Good luck!

You are only allowed one try and have already submitted your quiz.

Fine Arts Festival Of Manatee County Starts Feb 22

This will be our first appearance at this festival. The 19th Annual event, put on by ArtCenter Manatee, will be in Riverwalk Parkfeatures on the Manatee River in downtown Bradenton from 9 am to 5 pm on Saturday, February 22, 2020 and from 9 to 4 on Sunday.


Besides over 5,000 visitors to one hundred artists, there should be demos, entertainment, and food. It is free to the public. If you are in the neighborhood, come join us. For more information, you can try their festival webpage, but right now it caters more to artists.

We'll Be Back In Englewood This Month

We have been invited back to Englewood for the 33rd Annual Englewood Bank & Trust Invitational Art Festival the weekend of January 25th. This festival will be put on by the same local artistartist who put on the festival here December 1stannounced.

This festival will be open both Saturday, January 25, and Sunday from 10 am to 5 pm. There will only be sixty artists on the grounds at 1111 S. McCall Road in Englewood. Hopefully, you can find more information on their Facebook page @EnglewoodArtFestival as it becomes available.

Reflections – My Answer To "What's Wrong . . . Ver. 2"

I recently posed the question “What’s Wrong With This Picture”blog about a modified landscape photograph of a foggy sunrise in Ten Thousand Islands National Wildlife Refuge in Goodland, Florida. It turns out Deborah Gray Mitchell, one of the commenters, was right; the image was upside down.

To see the Note click here.To hide the Note click here.
Ms. Mithcell has her own website (www.dgmfoto.com), but several other sites have information about her. Just Google “Deborah Gray Mitchell”.


To be more precise, I flipped the image vertically and took steps to remove ripples in the reflection and such so that the answer wouldn’t be so obvious. The original picture can be seen at “Foggy Sunrise” on our website. Now I’d like to discuss reflections and the clues that should have given the answer away.

Reflections

illustration showing different perspective of reflected image
Figure 1: Perspective showing differences between the direct and reflected image

. . . Of Your Subject

First of all, the reflected image should NOT look like a mirror copy of the unreflected image, because the photographer has a different perspective or viewing angle of the reflection. As your high school physics teacher may have told you, in reflections, the angle of incidence (e.g. α2 in Figure 1) equals the angle of reflection (α1), so the view you have of the reflected image would be the same as if the subject had been flipped below the reflecting surface, as shown in Figure 1 above. I know that may sound like I just contradicted myself, but it is the subject itself I just flipped, not the direct image of the subject. Notice in Figure 1 that in the reflection, the two trees appear the same height, as depicted with red sightline C, while in the direct image the far tree looks higher as shown by green sightlines B1 and B2. The further away the subject is, the less of a difference this makes.

diagram of perspective and angles associated with reflections
Figure 2: Alternate perspective of reflected view that’s better for showing effects on the sun

. . . Of Celestial Bodies

Here’s another way to look at the effects of reflection; it is as if you had been flipped below the reflecting surface, as shown in Figure 2, instead of flipping the subject. Although possibly less intuitive, this interpretation yields the same results, as shown by lines B1, B2, & C, but makes the effects of the reflection of the sun more apparent. In the image under consideration, as in most cases, the sun would have been your biggest clue. The sun is 93 million miles from us, but even our closest celestial body, the moon, at under a quarter of a million miles (say 238,900 miles), is much further than what your lens considers to be infinity. All light rays from the sun are virtually parallel (or come in at the exact same angle), no matter where you are.

To see the Note click here.To hide the Note click here.
This detail helped Eratosthenes figure out how large the Earth was 2,260 years agoexplained and was crucial to celestial navigation. It is also important in the creation of rainbows. I might be addressing that aspect in an article about my quest for a midnight rainbow. Stay tuned!


This means that the sun will always be higher in the direct view than it appears in the reflection (compare the angle between sun ray A and line B1 to the difference between comparable sightlines D and C).

So There You Have It

I hope that clears things up. This information should make you better at spotting fake reflections, or as a photographer, help you create better forgeries by knowing what mistakes to avoid. Good luck!

Of course, you may share your reflections on this or any related material (or questions) in the comment section below. Thanks for stopping by.

We Updated Our Display Panel Instructions

A year ago we published plans and instructions for building the display panels we use in our art festival boothannounced. Since then we’ve added a section on how we attach the panels to the booth without using the legs and another section on how to make sure neighboring panels stay aligned. You can find this new information at www.beehappygraphics.com/panels.html. The downloadable version on that page has also been updated. Enjoy!

What's Wrong With This Picture (Version 2)?

It has been almost sixteen months since I submitted my last suspicious photographannouced and I just don’t have enough material to make this a regular feature, but here we go. Nancy took this picture here in Florida. I made a simple change (and cleaned it up just a bit).  So what is wrong here?

an altered sunrise photo

All comments and guesses are welcome. You have at least two weeks to figure it out and respond but don’t dilly dally. Good luck!

Nancy's Photos Are In Book About Bees

Last updated on January 6th, 2020 at 04:07 pm

Our friend, April Kirkendoll, just finished a book about beekeeping, “Thinking Outside The Box”, and included several of Nancy’s photographs (which in this case were created specifically for this project with April’s beehives).

As you may remember, we introduced April in the Afterword of our blog post Why You Haven’t Seen Any Painted Buntings three years ago. Nancy happens to have some experience with honey beesabout, having kept conventional beehives for several years in South Miami. The two of them have discussed and practiced the hobby together on a number of occasions.

April has done extensive research and experimenting on topbar beehives, a different approach to beekeeping. I’ve only read four chapters so far so I can’t yet give a full review or endorsement, but I really like what I’ve read. Just from her contribution to “Why You Haven’t Seen Any Painted Buntings”, you can see she has a less formal, easy to read style with some humor that still gives more depth than you are likely to find in other sources.

You can purchase “Thinking Outside The Box” (as well as her other books) from Amazon, or you can probably get a better price directly from her website (Lysmata Publishing). As I’ve mentioned before, we receive no consideration (i.e. money) for our remarks or from your purchases. Nonetheless, it is time to update our current longterm promotion (originally described in the last note in the Postscript of “Why You Haven’t Seen Any Painted Buntings”).

New Offer

If you bring your copy of any book by either April Kirkendoll or Brian Rapoza to our booth, we will give you four dollars ($4) off of any purchase. If you can show any of Nancy’s photographs in those books, we will give you another dollar ($1) off.

We are looking forward to seeing you at an art festival in your area. To find out where and when that might be, you can check out our schedule as it develops here.