From 5bba0801f40c31035b24f26d675d227d6dd6d860 Mon Sep 17 00:00:00 2001 From: David Allemang Date: Wed, 4 Mar 2020 12:39:40 -0500 Subject: [PATCH] Add readme details. --- README.md | 17 +++++++++++++++++ images/default.png | Bin 0 -> 36898 bytes images/rotated.png | Bin 0 -> 48961 bytes images/zoomed.png | Bin 0 -> 88054 bytes 4 files changed, 17 insertions(+) create mode 100644 images/default.png create mode 100644 images/rotated.png create mode 100644 images/zoomed.png diff --git a/README.md b/README.md index 1c6cf70..986e6f9 100644 --- a/README.md +++ b/README.md @@ -2,3 +2,20 @@ Generate images of the hopf fibration. +![zoomed](images/zoomed.png) + +## Usage + +Hold keys `Q`, `W`, `E`, `A`, `S`, `D` to select from the six planes of rotation, and use the scroll wheel to rotate the fibration through the selected plane. The resulting Hopf links are stereographically projected into 3D space, and the resulting circles are rendered orthographically on screen. + +Hold left-control `LCTL` and scroll to zoom in on the fibration. This affects only the orthographic rendering, not the fibration itself. + +![default](images/default.png) + +![rotated](images/rotated.png) + +--- + +## More information + +[Wikipedia: Hopf Fibration](https://en.wikipedia.org/wiki/Hopf_fibration) diff --git a/images/default.png b/images/default.png new file mode 100644 index 0000000000000000000000000000000000000000..b385ed991b6153005fc0af1ed9498131a8316b8f GIT binary patch literal 36898 zcmeFY`#;nD{|7!&t)kSWaz5m8m9(64K2}$hDMg53SST~6#A0U7V{H4rT<`bi^Zns_`~C+XH|+4*>-l^f?vMN9@q9d=dvg7nwZwke z{U8uX;>zVe?Lna3z*EsR@E+hHOa97t;6V(1;mS=g@Dl^R{TO&HbMMlvdk#Uq_aeMP zeL#MJK`0*x8WHN_6NtVObdR%(Yz_h`gRcB}{$^y}{Alca*zoz|8*3w&;o&hGlN4N; z<++=GMybo}r`eC$cK@!b{O8z%c$+Ahe%JRCpWCHnexoEm@!r#F7-Hqxfs453YoBq- z_WkQl$>3L)cf;;NXKzMBuc#1exaL&dIJaIBbJL7DPogncVI1noyA$SQG;P?!uaHD0 z6V^FS8xU$Vt=ePbvufHl-dZv0C!%mAk7>#^qDJ)=QDbIw3uOR}K=EFq_2`o$^=Rfr z@{$~RNrMw7+=}DxQrc*t3g;>Xb8vB$CP;#0;6uq)-GZg$OmpETRS1VKJ~(bF+!@Q- ze5w7n$t8-?p@@Z%*`e^AK|Md=VYRJ0e>=A|K2;kuF4))$Sm0?| 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