What about halved banana slices? The last image shows some prime real estate for a half of a slice!
I think subdividing the slices makes the problem trivial: cut each slice into a "banana pixel" and then tile the whole thing. That's no fun though.
Optimal Peanut Butter and Banana Sandwiches
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Re: Optimal Peanut Butter and Banana Sandwiches
#42Wow this guy can really see something through to the end. I have had some good ideas that I give up on once things become complex but he carefully saw this “meaningless” but super difficult project through from beginning to end. That alone is a sort of sacred skill, regardless of the task.
Yeah I tinker a lot but even getting to the point of actually writing up and posting an article is often what I get held up on.
Re: Optimal Peanut Butter and Banana Sandwiches
#43I am an emergency physician without any formal software training and for the last three months I’ve been trying to build a program that segments the wall of the heart from an ultrasound video and then identifies regions that aren’t moving (an early sign of heart attack). There are many similarities between this man’s project and mine. And if I had his knowledge I may have cracked my problem by now and would have new…
Do you realize that there are thousands of scientific publications in medical image processing that address exactly the same concrete problem that you have?
Re: Optimal Peanut Butter and Banana Sandwiches
#44Though this be madness, yet there is method in 't. I'm impressed, but also, I really hope the author is doing ok. This has been a tough year for everyone.
I hope you're doing ok too :)
Re: Optimal Peanut Butter and Banana Sandwiches
#45I am an emergency physician without any formal software training and for the last three months I’ve been trying to build a program that segments the wall of the heart from an ultrasound video and then identifies regions that aren’t moving (an early sign of heart attack). There are many similarities between this man’s project and mine. And if I had his knowledge I may have cracked my problem by now and would have new…
If you have any examples of what you're talking about, can you send them to me? That sounds like something I'd love to poke at. My email is my username at gmail.
Re: Optimal Peanut Butter and Banana Sandwiches
#46Excellent project. Very well written and executed. Love it.
I've found that I can get excellent consistency in coverage by slicing the banana vertically to get long rectangular slices and then laying the slices side-by-side - generally about 4-5 across.
Re: Optimal Peanut Butter and Banana Sandwiches
#47I love this post...I also love his wife's answer of cut the banana long ways
Yeah, my grandmother would mash the PB and banana together into a delicious, homogenous mush and then spread that one the bread. Thanks to the magic of imprinting, I believe this is the Correct way to make a PBB, and if you disagree, I'll cut you. Despite its obvious optimality, the Homogenous Mush approach creates extra dishes. So, as a lazy undergrad, I used the circles method for a long time. Sometime in grad scho…
Speaking of Grandmothers-- my Grandmother didn't bother with the peanut butter. Instead we had banana and mayonnaise sandwiches. I remember loving them as a kid, but I haven't had the guts to try them again as an adult.
Re: Optimal Peanut Butter and Banana Sandwiches
#48Lots of effort to arrive at the wrong answer!
An optimal pb + b sandwich must contain not just circle pieces, but pie slices of circular slices at well. All those gaps left by the circles could be filled with little fractions of circles.
Re: Optimal Peanut Butter and Banana Sandwiches
#49I am an emergency physician without any formal software training and for the last three months I’ve been trying to build a program that segments the wall of the heart from an ultrasound video and then identifies regions that aren’t moving (an early sign of heart attack). There are many similarities between this man’s project and mine. And if I had his knowledge I may have cracked my problem by now and would have new…
This paper might be useful [0]. It measures the thickness of a tissue. If you do that over time you can detect the parts that aren't moving. I studied under Yezzi for a while. Cool dude.
[0] http://iacl.ece.jhu.edu/~prince/pubs/2003-TMI-Yezzi-Thicknes...
Re: Optimal Peanut Butter and Banana Sandwiches
#50That's not optimal. Looks like the deep learning enthusiasts are now deflating the meaning of accepted mathematical terminology.