From 62334680379063dcbde315d200e5662eb9b95bfd Mon Sep 17 00:00:00 2001 From: Sam Date: Mon, 21 Mar 2022 11:41:46 +1300 Subject: [PATCH] Solved the npoly twist equation. works for n sides greater than 3 --- Catalogue/Screenshot 2022-03-20 212123.png | Bin 0 -> 196829 bytes Catalogue/Screenshot 2022-03-20 212148.png | Bin 0 -> 230987 bytes Catalogue/Square answer.png | Bin 0 -> 151304 bytes Catalogue/floral.html | 2 +- Catalogue/npoly twist - accident.html | 141 +++++++++++++++++++++ Catalogue/npoly twist.html | 109 ++++++++++++++++ Catalogue/npolygon.html | 71 +++++++++++ Catalogue/poly last notes might delete.png | Bin 0 -> 141866 bytes Catalogue/square accident.html | 81 ++++++++++++ Catalogue/square answer simplified.png | Bin 0 -> 180351 bytes Catalogue/triangle twist.html | 20 ++- 11 files changed, 412 insertions(+), 12 deletions(-) create mode 100644 Catalogue/Screenshot 2022-03-20 212123.png create mode 100644 Catalogue/Screenshot 2022-03-20 212148.png create mode 100644 Catalogue/Square answer.png create mode 100644 Catalogue/npoly twist - accident.html create mode 100644 Catalogue/npoly twist.html create mode 100644 Catalogue/npolygon.html create mode 100644 Catalogue/poly last notes might delete.png create mode 100644 Catalogue/square accident.html create mode 100644 Catalogue/square answer simplified.png diff --git a/Catalogue/Screenshot 2022-03-20 212123.png b/Catalogue/Screenshot 2022-03-20 212123.png new file mode 100644 index 0000000000000000000000000000000000000000..128a5a47ab63c82c34385ac97f9cbef87b9d6696 GIT binary patch literal 196829 zcmZsC2Q*w?*FI82M1)90PxLO4AUYv>?_Kn6l&FItgoxfd5xw_rOq4_?I)fQq7-Q5K zZN^{T_xslG{r=x~*ShPjd+)jD?7h!E&$;L9{X}Z0$&=itzK@58N1~`8tA&S07>tK^ z`_a9-H&1SH%RRff;CpJxzr(8@qusf=xosz{DvgI%7e{<$ap&fq$W6h}6A$lU@81)@ zA5dzIhj(41C@ZbwYqqyc_<>>udUu5nOsQ3x??drOR!TEdYwx=Wu^BO^e;x42^fi>L znM-ePv-}H~>wVn^{3nkzzMhzozw_t2?zFQLOd55qSM+YMff2?vXnXs3tJ`|pcAbwA z?MybwH@(qoLMO*RvXa6dF^ky6FMgwuUwQehyS;^X7VK5GUln=ksw#)ob-I2>UGDh- 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}, 1000 / fps); rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation @@ -41,9 +41,10 @@ render(); - function DrawTriangleTwist_width(width, rotation,innerRotation, colour){ - - let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - innerRotation + 120 * Math.floor(innerRotation / 120)))) + function DrawTriangleTwist_angle(width, rotation,innerRotation, colour){ + let out_angle = innerRotation; + // let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - innerRotation + 120 * Math.floor(innerRotation / 120)))) + let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120)))) for (let i = 0; i < 25; i++) { draw_triangle(180+innerRotation*i,width*widthMultiplier**i, colour) @@ -51,7 +52,7 @@ } - function DrawTriangleTwist_angle(width, rotation,innerRotation, colour){ + function DrawTriangleTwist_width(width, rotation,innerRotation, colour){ let out_angle = 0 let innerAngle = innerRotation - (120*Math.floor(innerRotation/120)); @@ -62,7 +63,7 @@ out_angle = -120 / (2 * Math.cos(2 * Math.PI / 3 - (innerAngle * Math.PI / 180))) + 180 } - let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120)))) + let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120)))) //150 = 90+innerangle/2 for (let i = 0; i < 25; i++) { draw_triangle(180+out_angle*i,width*widthMultiplier**i, colour) @@ -70,9 +71,6 @@ } - - - function draw_triangle(ang, radius, colour) { ctx.beginPath(); ctx.moveTo(centerX + Math.cos(rad(90 + 120 * 1 + ang)) * radius, centerY + Math.sin(rad(90 + 120 * 1 + ang)) * radius);