From b6eb4bf6060abb1981869cdc691ba7f618c01bcb Mon Sep 17 00:00:00 2001 From: Justin Lin Date: Mon, 14 Dec 2020 17:26:23 +0800 Subject: [PATCH] add doc --- README.md | 2 +- docs/images/lib2x-bauer_spiral-1.JPG | Bin 0 -> 63563 bytes docs/images/lib2x-bauer_spiral-2.JPG | Bin 0 -> 118021 bytes docs/lib2x-bauer_spiral.md | 33 +++++++++++++++++++++++++++ src/bauer_spiral.scad | 14 ++++++++++-- 5 files changed, 46 insertions(+), 3 deletions(-) create mode 100644 docs/images/lib2x-bauer_spiral-1.JPG create mode 100644 docs/images/lib2x-bauer_spiral-2.JPG create mode 100644 docs/lib2x-bauer_spiral.md diff --git a/README.md b/README.md index 8912a495..c932d511 100644 --- a/README.md +++ b/README.md @@ -236,7 +236,7 @@ These examples incubate dotSCAD and dotSCAD refactors these examples. See [examp ### Path - [curve](https://openhome.cc/eGossip/OpenSCAD/lib2x-curve.html) -- bauer_spiral +- [bauer_spiral](https://openhome.cc/eGossip/OpenSCAD/lib2x-bauer_spiral.html) - fibonacci_lattice ### Voxel diff --git a/docs/images/lib2x-bauer_spiral-1.JPG b/docs/images/lib2x-bauer_spiral-1.JPG new file mode 100644 index 0000000000000000000000000000000000000000..5e6b13fd7b5920abc3a11486a32862b073555b85 GIT binary patch literal 63563 zcmeFYbzEFcwl>;01SeQSBS8Ye-JReT+})*d_dt-~?h=A~aCbr@0fM_*fFO-KAMecE znRDizKhE5H&OP`0eedpHb+6jHx~kT*SM7d!tyRzS&+7mzSxFg501ONa!1Lt=c;3KT zm+-W<000ye0CWHV02u%e!w-Ock&s?0vSHQ$_!k-GMOMkm{^JvX0RUhPAAtUH9qpwq z^ilwzgO@ktKcqj8KN0v7fj<%W6M;Vw_!EKu6A_Sgb8)q{f6*Kv4(=~Z0{4Y6e2Ihq zyIh|T{}&mKof7~^Nce~R4_1Mk^apZ(vWou`?dMOO|3u(V1pY+ePXzu%;2#LEv9Pi5 zv9j^8a*(rf^Rcn=v2g+ZqjLa&EWi!m0&oRb1O6Z(&l{*fD_2)XK4xZn7basf2NQE9 zQwK1!r?De5D-#PdKtR~j(b&}1+?CwK+|t@!kmjVVi-z3VOpr#CQ-MXnQQX|hTH4#$ zT-94q&D7i0l-G<#SP1=h5&VPj@vV|;1B=;CGXYV65q??U;v4&Ix) zm^xcKx>`HflmF47v5AA5t00A&o3$CAg|P*viJ2KEqlq!Q86zvJnK7fW89OVZ89Tcf zHzz9(n+2;0#ovZEGyVJMj&9C&e;M1%l-bhgjHD>DW2Unl)vHRcOMe;@Qe zg#Sgymo|Lj&gRCh=I>vM&>uIIk(G^+l|$|Sy3tJRoE!qo|I|)^`42Gu%|!oeXa1i; zOGv=Xl+W~!xjQ)jb$C^Cr~h|%+s<0(uLSz9`n^>DD!g?3Vs$7eC<4s?cFg}f2!A>A zVstOx`@4z0e3ShDgX7OZ{w0wAgzHbZ{v`zdrN)0+*Pn3xO9=c+jsLW+|IOg~2hBCN zf8n+sFC_MP2_OzYLO?)7fJZ_^Ktx7DLVksf`ob|@;bCH-VH4sJ0SWO435ZE)-Vl>e zlMoP6Fi}v`zN2TLCn9HNXQpGLp`)k!qZ1e;WaL*UuW(UOap^#WAi96~cVc_6k;o%Sv z;9ugDFn%xB0r1!eIB!@*5nn4CBT+cvvVDxtL#7m~>A_Q(IHh7YaSlRxg-<{TB%*#x zL;H@7gOiJ!hnG+My@aHcw2Z8(n!1LjmbQ+mnYo3fm9>qFtDC!rr19S=jIm{H#WDncXs!F z?H@qT&Mz*nu5WJd{?H2s0QXn5{;t_S>4p8G7c4wH96Zt=dcnYYyc9TWc!W2sh&ZCk zNXAaDDcC+Dz`g z#b_{+9TEUs4T%CB|B%ulo4O(5gKHJNKGdl9wRWl$Qh|7KU~Abu7uNLKK2x~wnp68v z@1hPmnVL^$BL(B|&mmXuBae`eb{P`%-p^Y|MSTq(j8Og9lxq8NNrO5k&&_r-{X$>T zkk>M#+Kz?}jt^;x;XN(nIP!Za4?}H99~*xY^<&4zGvJOf_m;ol8E_`3JgeI?r^ETf z9~Ww08c_CW&4Dy?lSJynn=s1J7!)ceY;t-Q<-mD(R#o+3q;h2gb1=;(Ca_7uaUaAp z8BWeT0HcY|nKwp_f6Hkh=~#7en`r4&t?{Zg|E^T5VOf(cW#D~}7{9X4v`e`r=DvMB(6gCp zF9J@W^&j#F4(-%}ZY>Yo7ti5^$%oB}21Kt<9CatdH zDoc>RqWv29KT`7jDy_ZsX9^n&OSKo44Z2co@%j&mm$^h11G8#IXuHRi4>e1^ykfQ0 z(YyPx_?|C0DJQZ3g3CpKnHI3U`Hnb>wX>w{iy6LbStSPh6+E;+|`RReWC{mJw#<#^$R(y zxKMtjr@_`Rj#Wn1XTjDs$nIl~IU`}RILz+boz;Sn)j}CK9->RhO-8AEi(y;st@~F6 zH7mN!Jtj-C(v?9nDuwQ+$VrXPfmj%@==PJeKZM@g6ncHNacukUV(R5oH~_7!(F>d% z{!UCBA5pb!Zilv6c>Y8tGmyIpHq}Th4VH%D7Y5M9o)E65&ohfQN5P7WNskvOE3SKW z3V@cC9JYMY#xW75iGEMW@|O>+mzVxh{|Ik}B_ZKb?CGwnZP?uj-`+5TjTv96ZKb?_ zwjdK54_TB)6wTVft*s5JK5HbNvdT|;wdi`S$){g%7g9WLzY{|0W5^-1&HF){JBApE zk}^1ICgVRayB9Nr%e--U22eHic3mOXJp(4*=~Mr+kriFP*y=lgvIOq`Xi?MT`e~pu z0`@?2S^5#mYmy8{6(RZRn*f$*4`SihKz7$sM!WV77-oBBri(*bBF$ElvsSJP8In^t zc0xm*J@N!Z32P1eCgv-*sKtIF%d3!;Bqj}>RQCG!<g7Qsm1 zs{Fh4`ESURJJkd#ZmUO@9f#OC$pR%^1Fp6_n9F#?H&GpqA z(&X8+zZX%wX7OCuO^@+ZjjIXi&5FBk!v3_B5<|;b^O(1HK;(0qevdeUWLWq3+p8t* zwyW>jw|)I$a3J|*38pH{RC8E?j~n(GPLfCDJPLIngmEq*C_HH}LF_}kdfRXjb(Z+~ z_{Al}En7Kbnlg+4Vgu}N^aCQG=#h3-s$7;TfQZhe@(f1_r`A!5MFLGjYs3N2g#5)# z=!k&<$FyzdCgpY_LQqmROB7O7Y(F(WvfH012gfzZ0+pU<-gb92&Itno@hsvHa5e1i zx)yw;Y>V`IYWe5&E2}&ns_C33utfTB`KMv!;FC7Q%mX<}zD59O|EcUgft~?FjHlI) zA1j^#7qXf%dNjQOIQw_i!SzQtGX(^TOo>I6lYB-dy3*T{sy~BJNWYYB5z@5%|73Oi zZFRzA3Un&e>%_ai0 zAV*6;nx3`KwtTExUy=j6@2;tz8;i{~)*9P8ipFdJS!*&;$>;qgDQ!veB4L{r+Z~vX zp8+-P!nSQY=g)wKqTJzes8@i6!p&imw;?n9aoYM#O@FwXQ;3*||Ut*u{2n57uz0UZF&iKj!c$mU`HR>T%n*q$3 zy&?vaigI8Sqwmx$vjFu3?4WV#TPA7X2KV^`1LC>ONUhmwPJQMNqPQO1H6poYE$AU) z#?df1VciS>bS%A;WC@MQ_IK4*vz6wBHU^-{iXG>(qU4P!`&)9@!^}{T8#uJVzK_X9 ztjY&ai5EITbMLd6lUL+*-(KC=nU0y>1YByJw*&$qCHap0HuSlt4xiVdiqRZUeeD$m zOE>Dm{zf*WP)R*JSMqOt`IJX!OWePyYBPS(xdXm_X>E;}#hK(Q6?T0+J;z$9FHT)v z|4CZQ2!HS4vYLQpG%q-#D1VgZh6J~yHB4W^b2S+H>Ru9RV@-fP;$`glsh7%*(7lvb zEFdfjJb*+9dDCX?>y+ii)h6iiu<$5hcP=kLUdU}RbL6m(G_$)BKc}oG1O2|b6=@|s z4jjLk;ezh`So}0w!&d-(pHOe?jHmZaHGy|Xa!atyNvnMeBYDzc=NSNBT`s>Z1X`y4 zK-E*V zSHnAdxW||?xj;oB&K3~*#&j}h6+u~pz)mP-G<^_Q)(T4=S!B=W2zlcd(y2NwI{|S54JB~I(Vr$28U{gqa zJ$HjN**n5Wd9q%gS**bpjHysJ1z!0PjhBV`iX98a1Q#X?!2X-Au^2zMP+w^?a(}x~ zjzmbk)eI;VBAw_`f{;}-x3s@2^YL7x0~aQ~?8Z`ImMLZT@F;GX4*5qT_xU1!2~~&- zYN;cN37n<pUk zDgS$sU(DnHp+Z4i6}e{`+b08nhBz^7F!{Tvz1_vC&i46HoP;)~=HT&tJi`PN(TxaXoF9DYY9KYN$>7_lMgc-%&u<6c7<4?#l8 zVGoj`u6O`9MGsqDRdW&g?rp2Ejx(SfJ`LX8-74mnR7Y@*m^E5pKLaWg{bkfamN9I? 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zVlT!$?Qly}@ofR+e>#NtXG4$wxp}-_sbDlHkz; + use ; + + n = 200; + radius = 20; + pts = bauer_spiral(n, radius); + + for(p = pts) { + translate(p) + sphere(1, $fn = 24); + } + + hull_polyline3d(pts, 1); + +![bauer_spiral](images/lib2x-bauer_spiral-1.JPG) + +You can use it to create [Text sphere](https://cults3d.com/en/3d-model/art/bauer-text-sphere). + +![bauer_spiral](images/lib2x-bauer_spiral-2.JPG) \ No newline at end of file diff --git a/src/bauer_spiral.scad b/src/bauer_spiral.scad index 155ba6fd..0e62b59f 100644 --- a/src/bauer_spiral.scad +++ b/src/bauer_spiral.scad @@ -1,9 +1,19 @@ -function bauer_spiral(n, radius = 1, dir = "CT_CLK") = +/** +* bauer_spiral.scad +* +* @copyright Justin Lin, 2019 +* @license https://opensource.org/licenses/lgpl-3.0.html +* +* @see https://openhome.cc/eGossip/OpenSCAD/lib2x-bauer_spiral.html +* +**/ + +function bauer_spiral(n, radius = 1, rt_dir = "CT_CLK") = let( L = sqrt(n * PI), toRadians = PI / 180, toDegrees = 180 / PI, - clk = dir == "CT_CLK" ? 1 : -1 + clk = rt_dir == "CT_CLK" ? 1 : -1 ) [ for(k = 1; k <= n; k = k + 1)