From 6539d87e6741e80de1a7756cbedf1fdd63d33e0e Mon Sep 17 00:00:00 2001 From: Georg Hopp Date: Thu, 9 Jan 2020 18:41:42 +0100 Subject: [PATCH] fix construction of tetrahedron --- fractional/notes/polyhedra.pdf | Bin 0 -> 148763 bytes fractional/src/geometry.rs | 40 +++++++++++++++------------------ fractional/src/main.rs | 6 ++--- 3 files changed, 21 insertions(+), 25 deletions(-) create mode 100644 fractional/notes/polyhedra.pdf diff --git a/fractional/notes/polyhedra.pdf b/fractional/notes/polyhedra.pdf new file mode 100644 index 0000000000000000000000000000000000000000..92e1eef8844f01fdfd59c54f58c2602481ca254f GIT binary patch literal 148763 zcmb5UbF3&qzbv|J+qP}nwr$(CZQIz(wrzVa+g|JK@7!~4UUKgr@6Al6s=9lUPG^!| zccn-bM8s$r=~$si=a)y;p_mC62<(llpm=zo=w(dp%v~%9*ce#Z2>$DWq8GEYaWQow zpck_-bTJh%HMTb~h2rCba&~btHME8D*u2)2jz8i^>V2)hTYzllILz*xHNxHjrkNL5 zvo(jaE3aORmg!n`Q*)j9c{fc+!S~`Ijs8QCiOwH1K#vClMj1);`*U92_Z@T`Qz8K| zXr9k^nU6#{YA%FC!kO*smG}Mn^}04<*riFIk3{wU^-3Ofy0wN+UwyiBc&?xS!zk?$ 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z5_;%fORTpVzL2<3cJ0I|$Uel-!iXl0jW;bEFCI}J7E?n(%CBeSS3t75Ixa5Wv^JZ; zXSavFGZM%&1sLYOF1X z!f8bmE2cLU0Wtq_wD9Cv8841Tq;I!#%6OcEMksy^ zp$d6Gc&%R8d$f&0vshLEPRL$iY(QKY!TkTasV=TY&aR%$-`mK{#`T@Lz><@TD@efp EKX2eG^8f$< literal 0 HcmV?d00001 diff --git a/fractional/src/geometry.rs b/fractional/src/geometry.rs index b3cdfcd..f4c38ec 100644 --- a/fractional/src/geometry.rs +++ b/fractional/src/geometry.rs @@ -245,29 +245,25 @@ where T: Add + Sub + Neg } } - // https://rechneronline.de/pi/tetrahedron.php + // construct via cube, see polyhedra.pdf pub fn tetrahedron(a :T) -> Polyeder { - let f0 :T = 0.into(); - let f3 :T = 3.into(); - let f4 :T = 4.into(); - let f6 :T = 6.into(); - let f12 :T = 12.into(); - - let yi :T = a / f12 * T::sqrt(f6).unwrap(); - let yc :T = a / f4 * T::sqrt(f6).unwrap(); - let zi :T = T::sqrt(f3).unwrap() / f6 * a; - let zc :T = T::sqrt(f3).unwrap() / f3 * a; - let ah :T = a / 2.into(); - - let ps = vec!( Point::new( f0, yc, f0) - , Point::new(-ah, -yi, -zi) - , Point::new( ah, -yi, -zi) - , Point::new( f0, -yi, zc) ); - - let fs = vec!( Face::new(vec!(1, 2, 3), &ps) - , Face::new(vec!(1, 0, 2), &ps) - , Face::new(vec!(3, 0, 1), &ps) - , Face::new(vec!(2, 0, 3), &ps) ); + let f2 :T = 2.into(); + let ch = a / (f2 * T::sqrt(f2).unwrap()); + + let ps = vec!( Point::new(-ch, -ch, ch) // A + , Point::new(-ch, ch, -ch) // C + , Point::new( ch, -ch, -ch) // E + , Point::new( ch, ch, ch) ); // G + + // bottom: 1, 2, 3 + let fs = vec!( Face::new(vec!(2, 1, 0), &ps) // bottom + , Face::new(vec!(3, 2, 0), &ps) + , Face::new(vec!(0, 1, 3), &ps) + , Face::new(vec!(1, 2, 3), &ps) ); + //let fs = vec!( Face::new(vec!(0, 1, 2), &ps) // bottom + // , Face::new(vec!(0, 2, 3), &ps) + // , Face::new(vec!(3, 1, 0), &ps) + // , Face::new(vec!(3, 2, 1), &ps) ); Polyeder{ points: ps, faces: fs } } diff --git a/fractional/src/main.rs b/fractional/src/main.rs index 33a50f8..bd9352a 100644 --- a/fractional/src/main.rs +++ b/fractional/src/main.rs @@ -36,8 +36,7 @@ use fractional::trigonometry::Trig; use fractional::vector::Vector; use fractional::transform::{TMatrix, Transformable}; use fractional::xcb::XcbEasel; - -use fractional::geometry::{Camera,DirectLight,Polyeder,Primitives}; +use fractional::geometry::{Camera, DirectLight, Polyeder, Primitives}; fn mean(v: &Vec) -> Result { let r = v.iter().fold(0, |acc, x| acc + x); @@ -403,10 +402,11 @@ fn main() { let xcb = XcbEasel::new().unwrap(); let (tx, rx) = mpsc::channel(); + _democanvas( &xcb, "Something...(f64)", tx.clone() , Polyeder::triangle(60.0) , Polyeder::tetrahedron(80.0) - , Polyeder::cube(55.0) + , Polyeder::cube(45.0) , DirectLight::new(Vector(0.0, 0.0, 1.0)) ); /* _democanvas( &xcb, "Something...(Fractional)", tx.clone()