In ancients China, the three Pyramids the host cuts from a cube were named "hight horse". the word was discribed the corner part of a palace roof, in early time. In the book written by Liu Hui (a mathematics of Han Dynasty) mentioned this. And Master Liu mentioned two different shapes-- Slope and Half Pyramids. if you cut a cube or a cuboid to half, two slopes are there. A pyramid were made from a slope. If you divid a pyramid into two equal parts, two Trigonal pyramid were made. In Chinese, these three shapes are called -- Qian Du, Yang Ma and Bie Nao as well. I would mention that these shapes have volume rate: 3 : 2 : 1 That were very interesting, isn't it.
I added links to the description with STL files so you can 3D print your own manipulatives. I also linked to the Onshape CAD file so you can modify the design.
Oh :0 I tried doing this with 4 weirdly shaped pyramid, and 1 regular pyramid which equals a prism, but it lead to me that the weirdly shaped pyramid is actually 1/(3√2) of the size of a prism, instead of 1/3.
Thank you! I've drawn a zillion pictures of cube to prism to pyramid, trying to figure this out. So elegant!
Thank you Mr. Bardos!
Finaly some perfect explanation
this is Beautiful, thank you
This is marvellous! Thank you!
Español x favor
Great video! You should let us see the shape after you combine 2 of the pyramids, before you add the third pyramid
So helpful! Thank you!
In ancients China, the three Pyramids the host cuts from a cube were named "hight horse". the word was discribed the corner part of a palace roof, in early time.
In the book written by Liu Hui (a mathematics of Han Dynasty) mentioned this. And Master Liu mentioned two different shapes-- Slope and Half Pyramids. if you cut a cube or a cuboid to half, two slopes are there. A pyramid were made from a slope. If you divid a pyramid into two equal parts, two Trigonal pyramid were made. In Chinese, these three shapes are called -- Qian Du, Yang Ma and Bie Nao as well.
I would mention that these shapes have volume rate: 3 : 2 : 1
That were very interesting, isn't it.
Really interesting
Whats the name of that triangles that formes to square ? 1:51
Awesome, ty
We used this in math class today because kids didn’t understand how a pyramid fit into a cube
Where can I buy those 3 pyramids to form a cube?
Buen video. Gracias!
I have looked high and low for the manipulatives (with or w/o magnets) for years! Did you make the 3 pyramids or can they be purchased somewhere?
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I added links to the description with STL files so you can 3D print your own manipulatives. I also linked to the Onshape CAD file so you can modify the design.
Where can I buy those 3 pyramids to form a cube?
thanks a lot sir!!!
Oh :0
I tried doing this with 4 weirdly shaped pyramid, and 1 regular pyramid which equals a prism, but it lead to me that the weirdly shaped pyramid is actually 1/(3√2) of the size of a prism, instead of 1/3.
...but how would 'the ancients' have figured this out without trial and error or without making physical models?
This is what im a looking for. Not the fucking 6 pyramids with half the height of the cube
tf u talking about kevin??
Thanks alot sir 🤢
Ok
👎
Ok
Ok