Dihedral-0.mp3
Dihedral-0.mp4
Dihedral-I.mp3
Dihedral-I.mp4
Dihedral-Reggae.mp3
Dihedral-Reggae.mp4
Dihedral-Unplugged-Underground-XVIII.mp3
Dihedral-Unplugged-Underground-XVIII.mp4
Dihedral-intro.mp3
[Intro]
Dihedral triangular
(Can your mind’s eye see…)
In 3D
[Bridge]
(da, dee, dee)
Up the bid
(Build a pyramid)
[Verse 1]
Will your base
Take a side
The human race
Shall decide
[Bridge]
Dihedral triangular
(Can your mind’s eye see…)
In 3D (da, dee, dee)
[Chorus]
Castles of your dreams
(Make things what they seem)
Turning dreams to scenes
(Sower of seeds and seams)
[Bridge]
Build a pyramid
(We did!)
(Pyramid)
[Verse 2]
All sides hold us together
Proud to report (group support)
Hope resides in whether
We resort (in our last hope)
[Bridge]
Dihedral triangular
(Can your mind’s eye see…)
In 3D (dee, dee)
[Chorus]
Castles of your dreams
(Make things what they seem)
Turning dreams to scenes
(Sower of seeds and seams)
[Outro]
Turning dreams to scenes
(Turning dreams to scenes seen)
A MATH AND SCIENCE NOTE
Pyramid (like a square-based pyramid):
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Think of a 3D shape with a base (usually a square) and triangular sides that meet at a single top point (the apex).
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The faces (the sides) are usually isosceles triangles.
-
Angles in a pyramid:
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The base angles of the triangular sides are typically equal (like an isosceles triangle).
-
The angles between the base and sides (called dihedral angles) are important in 3D — they control how steep or flat the pyramid is.
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The triangles themselves have angles depending on the slope of the pyramid.
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So pyramids are made up of isosceles triangles, and their structure involves a mix of plane angles (in the triangles) and 3D angles (between faces).