I appreciate how many "short" videos you put out. Not that they all have to be short. I like your longer content too. But it seems like more and more of the content creators I watch are making longer and longer videos. I like that when you have a cool trick to show, you put a video up that is often less than 5 minutes, but packed with great info. As a result, I watch pretty much everything you release, whereas with others I follow I often end up skipping some of theirs. Of course, I also watch all of yours because I always get something out of them too. Thanks for what you do.
Keep putting out these geometry lessons, brother. I know most of us didn’t listen in school and always thought “what are we ever gonna use geometry for?”. Well I’m thankful for these now. Thanks and keep ‘em coming.
You've quickly become one of my favorite TH-cam woodworkers. And I think I'm subscribed to about 30-40 and regularly watch double that. Just clever iterations and quickly to the point. Quality content.
I could swear I have never seen the last rule method... I probably won't "need" it, but that is smooth! Thanks for sharing information and educating people! Unlike a lot of tubers that "show" but don't really SHOW.
We learned about using a compass to make a hexagon in the 8th grade, but after a lot of years, a reminder is sure helpful! I don't remember learning the alternate methods you show. Often times, videos explain tings better that the boring textbooks did.
Excellent. My math/geometry skills and comprehension are limited. This is very timely for me since I want to make something that includes hexagons. Thant you. Keep up the good work. T 🙂
Great video~! Thanks for the geometry refresher. I remember doing this in high school, but I won't get into how long it's been since I was there. ;-) Thanks again~!
Love your channel. Always great info. Could you share a method to cut perfect hexagons for the use in game pieces which have to seat against each other at any angle?
Having worked with hexagrams before, I finally figured out that they are all composed of equilateral triangles. That means all the triangle sides are equal in length. It is not coincidental that the line across the center, from point to point, is twice the length of a side. It is composed of two sides, so it must be twice the length. It took me an embarrassing length of time to finally realize the geometry of hexagrams.
Mr Medlock would be laughing his head off at me right now. Of everything I learned in HS, geometry is what I hated the most, paid the least amount of attention to, and use more than anything.
Great stuff. But just to be clear, given a regular (equilateral) hexagon, the distance between two opposite vertices (the farthest apart points) is always equal to twice the length of any side. It's not coincidental; it's mathematical. And, as you know, math is a woodworker's best friend.
I’m an old man now, but I remember my geometry. I wonder if it’s even taught anymore. There is a lot of useless stuff passing as “school worthy” I hear.
I'm only in my 30s and had to take geometry in my first year of high school, so, yeah. It's still being taught. Lots of proofs in that class, lol. Same for trigonometry, which was the bane of my existence because the teacher was retiring after my year and the textbook sucked ass. But there's also a lot of stuff, mostly trigonometry (which is just the geometry of triangles), that wasn't taught that I've learned on my own since, and that I use quite extensively when I do my own work hand-calculating geometries for vector graphics and hobby CAD work. 45-45-90 and 30-60-90 right triangle trigonometry are my bread and butter, but I also have a few quick tricks for sketching specific angles to within a few percent error as well, to the point that I can just eyeball sketch a 30-60-90 right triangle or an equilateral triangle on graph paper with an error of ~1%. The trick is a triangle with legs in a 4:7 ratio or a base:height of 8:7 for the equilateral version, scale as needed. :) A 4:1 triangle will get you a 14 degree or 76 degree angle--pretty dang close to 15 or 75 degrees if you're just quick-sketching on graph paper. A 5:2 triangle will approximate a 22.5 or 67.5 degree angle quite nicely as well with very low error. Again, the caveat is that this is only useful for quick sketching on grid paper, if you wanna get things close enough to look pretty accurate. Another fun one is that the Pythagorean theorem generalizes to all triangles as the Law of Cosines: c^2 = a^2 + b^2 - 2ab cos(gamma). No longer do you require the angle opposite side c to be a right angle. It can be any angle and Law of Cosines solves for the unknown value. And when the angle gamma is 90 degrees, that whole 2ab cos(gamma) term goes to zero and Law of Cosines simplifies right back down to Pythagorean Theorem again.
Your videos are always short, to the point and you have some of the best tricks I've seen from a woodworker. Thank you for everything.
I appreciate how many "short" videos you put out. Not that they all have to be short. I like your longer content too. But it seems like more and more of the content creators I watch are making longer and longer videos. I like that when you have a cool trick to show, you put a video up that is often less than 5 minutes, but packed with great info. As a result, I watch pretty much everything you release, whereas with others I follow I often end up skipping some of theirs. Of course, I also watch all of yours because I always get something out of them too. Thanks for what you do.
Keep putting out these geometry lessons, brother. I know most of us didn’t listen in school and always thought “what are we ever gonna use geometry for?”. Well I’m thankful for these now. Thanks and keep ‘em coming.
You've quickly become one of my favorite TH-cam woodworkers. And I think I'm subscribed to about 30-40 and regularly watch double that. Just clever iterations and quickly to the point. Quality content.
I really enjoyed your video! It helped a lot with my hexagonal shaped flying machine! Thanks a lot!
As usual. Tough concepts made simple by your clear and direct explanations.
11th grade (1972) mechanical drafting class revisited. You continue to provide useful information and I thank you.
the best quick tutorial ive ever seen 👏🏻
Loving your simple explainations of geometric relationships!
Some of the best kind of math for the real world. Thanks.
Once again, Jodi demonstrates what a math geek he is! Kudos.
I'm not going to lie... THAT IS BRILLIANT! I never thought about that
I could swear I have never seen the last rule method... I probably won't "need" it, but that is smooth!
Thanks for sharing information and educating people! Unlike a lot of tubers that "show" but don't really SHOW.
That was pretty handy, any chance you can do an octagon video? Same idea but different ratio?
We learned about using a compass to make a hexagon in the 8th grade, but after a lot of years, a reminder is sure helpful! I don't remember learning the alternate methods you show. Often times, videos explain tings better that the boring textbooks did.
Great video, and a remider that anything we learn may be useful one day
Wow! My mind is blown!
Thank You!
Short and Sweet. Thanks!
Oh... Pretty interesting indeed! Thanks, dude! 😃
Stay safe there with your family! 🖖😊
Excellent. My math/geometry skills and comprehension are limited. This is very timely for me since I want to make something that includes hexagons. Thant you. Keep up the good work. T 🙂
Great video~! Thanks for the geometry refresher. I remember doing this in high school, but I won't get into how long it's been since I was there. ;-) Thanks again~!
Brings me back to my drafting class !😅
Love your channel. Always great info. Could you share a method to cut perfect hexagons for the use in game pieces which have to seat against each other at any angle?
Thank you very much!!!!
One of my favorite channels.👍
Super cool!!
I feel like I just finished Mr. Cash’s sophomore geometry class.
That's cool!! Thanks
Great content, thanks for sharing 👍
Handy to know, thanks.
Having worked with hexagrams before, I finally figured out that they are all composed of equilateral triangles. That means all the triangle sides are equal in length. It is not coincidental that the line across the center, from point to point, is twice the length of a side. It is composed of two sides, so it must be twice the length. It took me an embarrassing length of time to finally realize the geometry of hexagrams.
Hexagons are the bestagons. :)
cool, thanks
Hi ! What compass do you use ? Could post a link where I can buy the same ?thank You !
That looks a lot like Ally Tools compass.
Dude, were you reading my mind ?? I was just thinking about how to make some hexagon tea light holders for a simple gift.
How would you construct a pentagon?
He got through the whole video without saying, "Hexagons are the bestagons."
@Inspire Woodcraft I sent you an email about a collaboration this weekend, any thoughts?
Mr Medlock would be laughing his head off at me right now. Of everything I learned in HS, geometry is what I hated the most, paid the least amount of attention to, and use more than anything.
Great stuff. But just to be clear, given a regular (equilateral) hexagon, the distance between two opposite vertices (the farthest apart points) is always equal to twice the length of any side. It's not coincidental; it's mathematical. And, as you know, math is a woodworker's best friend.
The last time I used imperial measurements my curtains caught fire. Ever since I switched to metric all curtains and pets tails have been safe.
Compass technique looks easier
Hexagon with 2 right angles
Don't suppose you can do this for an octagon.
I think I’m going to have to use my cricut to create a hexagon 😂
Shoot!! 🤦🏾♀️😂😂😂 Idk why I keep forgetting a stop sign is an octagon not a hexagon…good thing my 3yo remembers for me 😬
Not bad. You should be the next president of the United States. ;-)
I found it hard to see the drawing. It would be much more clear if you'd use a darker pencil and white paper.
What do you do if you don’t have a compass? Go buy one, it’s way easier that way! 😂
I’m an old man now, but I remember my geometry. I wonder if it’s even taught anymore. There is a lot of useless stuff passing as “school worthy” I hear.
I'm only in my 30s and had to take geometry in my first year of high school, so, yeah. It's still being taught. Lots of proofs in that class, lol. Same for trigonometry, which was the bane of my existence because the teacher was retiring after my year and the textbook sucked ass. But there's also a lot of stuff, mostly trigonometry (which is just the geometry of triangles), that wasn't taught that I've learned on my own since, and that I use quite extensively when I do my own work hand-calculating geometries for vector graphics and hobby CAD work.
45-45-90 and 30-60-90 right triangle trigonometry are my bread and butter, but I also have a few quick tricks for sketching specific angles to within a few percent error as well, to the point that I can just eyeball sketch a 30-60-90 right triangle or an equilateral triangle on graph paper with an error of ~1%. The trick is a triangle with legs in a 4:7 ratio or a base:height of 8:7 for the equilateral version, scale as needed. :)
A 4:1 triangle will get you a 14 degree or 76 degree angle--pretty dang close to 15 or 75 degrees if you're just quick-sketching on graph paper. A 5:2 triangle will approximate a 22.5 or 67.5 degree angle quite nicely as well with very low error. Again, the caveat is that this is only useful for quick sketching on grid paper, if you wanna get things close enough to look pretty accurate.
Another fun one is that the Pythagorean theorem generalizes to all triangles as the Law of Cosines: c^2 = a^2 + b^2 - 2ab cos(gamma). No longer do you require the angle opposite side c to be a right angle. It can be any angle and Law of Cosines solves for the unknown value. And when the angle gamma is 90 degrees, that whole 2ab cos(gamma) term goes to zero and Law of Cosines simplifies right back down to Pythagorean Theorem again.