Drafting Sheets · a film
Lighting the sheet…
Order of the Elements
Genshin Impact's seven elemental emblems, by symmetry
A technical drawing a little over two minutes long that takes apart Genshin Impact's seven elemental emblems by their symmetry. An orange spark reads a TikZ listing and draws the seven in a row, the way the game lists them; then one by one, from the most symmetrical to the least, it draws how each could be built. Cryo has twelve symmetries, so one twelfth is drawn and turns and mirrors make the rest; Electro has three turns, nine circles drawn once and turned twice, and with the rim's radius at φ² three of them come close to φ, 1 and 1/φ; Geo turns half way round; Dendro and Anemo have one mirror each, but Dendro is drawn with a compass and Anemo with control points; Hydro has no turn or mirror but four main circles centred on one line; Pyro has no turn or mirror at all. Pulled back, the seven stand in order: 12, 3, 2, 2, 2, 1, 1. The emblems are fitted to fan vectors of them, not traced, and this is an analysis of their shapes, not HoYoverse's own construction. Every frame is rendered in your browser from the listing as it plays, and the score is code that reads the same plan.
- Tempo
- 96 BPM · 55 bars
- Picture
- The drafting engine, WebGL
- Program
- One TikZ listing
- Emblems
- Fitted to fan vectors, not traced
- Sound
- Original score, synthesised from the plan
Chapters9
The listing124 statements
The film is this TikZ, drawn by the same engine as Constructed Mark: the pen reaches each statement on the bar the script gives it. Each emblem sits in its own scope; the circles and curves were fitted to fan vectors of the emblems. Copied with one \tikzsetline for the sheet’s own keys, it compiles in any LaTeX document that loads TikZ.
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(1.573,-0.034) .. controls (1.573,-0.034) and (2.168,-0.264) .. (2.098,-0.847) .. controls (2.01,-1.583) and (0.945,-1.635) .. (0.049,-2.487) .. controls (0.049,-2.487) and (-0.19,-2.208) .. (-1.009,-1.803) .. controls (-1.477,-1.571) and (-2.042,-1.373) .. (-2.026,-0.684) .. controls (-2.013,-0.11) and (-1.405,0.123) .. (-1.405,0.123) .. controls (-1.405,0.123) and (-2.429,-0.929) .. (-0.961,-1.625) .. controls (-0.961,-1.625) and (-1.91,-0.15) .. (-0.039,0.171) .. controls (-0.039,0.171) and (-1.056,0.43) .. (-1.097,1.304) .. controls (-1.097,1.304) and (-1.268,0.812) .. (-1.514,0.553) .. controls (-1.76,0.294) and (-2.373,-0.317) .. (-2.291,-1.007) .. controls (-2.209,-1.696) and (-0.599,-2.083) .. (0.043,-2.855) .. controls (0.043,-2.855) and (0.562,-2.316) .. (1.088,-2.063) .. controls (1.613,-1.81) and (3.368,-0.998) .. (1.355,0.539) .. controls (1.355,0.539) and (1.047,0.744) .. (1.02,1.311) arc (137.30:179.50:1.03) .. controls (0.747,0.197) and (1.048,0.272) .. (1.081,-0.123) .. controls (1.081,-0.123) and (0.487,0.382) .. (0.494,0.778) .. controls (0.501,1.174) and (0.651,1.597) .. (0.651,1.597) .. controls (0.651,1.597) and (-0.38,1.126) .. (0.132,0.382) .. controls (0.132,0.382) and (-0.243,0.532) .. (-0.162,1.037) .. controls (-0.08,1.543) and (1.033,1.557) .. (-0.046,2.854) -- cycle; \fill (0.265,-1.437) .. controls (0.265,-1.437) and (0.828,-1.261) .. (0.828,-0.821) .. controls (0.828,-0.38) and (-0.008,0.398) .. (-0.693,-0.615) .. controls (-0.693,-0.615) and (-0.043,-0.298) .. (0.244,-0.718) .. controls (0.531,-1.138) and (0.265,-1.437) .. (0.265,-1.437) -- cycle;\end{scope}\begin{scope}[shift={(16.1,7.5)},scale=0.4] \fill (2.618,0.03) arc (0.65:-108.11:2.617) arc (-109.36:-144.23:1.483) arc (-126.01:-106.96:2.311) -- (-0.765,-2.313) arc (-105.89:-89.03:2.626) -- (0.084,-2.411) arc (-88.26:-25.23:1.343) arc (-24.51:105.2:1.456) -- (-0.544,0.357) arc (-89.81:-245.57:0.358) -- (-0.678,1.045) -- (-0.66,1.051) arc (111.1:-48.41:1.832) arc (-54.52:144.29:2.093) -- (-1.722,0.869) arc (-38.34:-203.46:0.348) -- (-2.287,1.274) arc (150.88:0.65:2.617) -- cycle; \fill (-0.622,-1.445) arc (-179.34:-153.86:0.364) arc (-154.3:-90.05:0.802) -- (0.139,-2.049) arc (-95.26:-25.01:0.634) arc (-20.19:-93.54:0.77) -- (0,-2.193) arc (-89.97:-344.28:0.94) -- (0.91,-1.015) -- (0.914,-1.029) -- (0.92,-1.072) arc (5.23:-168.1:0.363) -- (0.198,-1.147) arc (12.01:90.06:0.319) -- (-0.164,-0.898) -- (-0.195,-0.904) arc (103.38:180.12:0.555) -- cycle; \fill[signal] (-2.251,-0.04) circle (0.347) (-1.776,-1.184) circle (0.254);\end{scope}\begin{scope}[shift={(19.3,7.5)},scale=0.4] \foreach \s in {1,-1} { \fill[xscale=\s] (1.739,1.622) .. controls (1.739,2.329) and (0.907,2.721) .. (0.907,2.721) .. controls (1.646,1.086) and (0.242,0.17) .. (0.242,0.17) .. controls (0.882,0.34) and (1.739,0.634) .. (1.739,1.622) -- cycle; \fill[xscale=\s] (2.655,0.819) .. controls (2.655,0.819) and (2.301,-0.098) .. (1.485,-0.13) .. controls (0.67,-0.162) and (0.318,-0.19) .. (0.315,-0.749) .. controls (0.311,-1.307) and (0.878,-1.367) .. (0.906,-0.998) .. controls (0.906,-0.998) and (0.424,-0.99) .. (0.424,-0.664) .. controls (0.424,-0.339) and (0.709,-0.351) .. (0.826,-0.363) .. controls (0.942,-0.375) and (1.634,-0.913) .. (2.303,-0.527) .. controls (2.972,-0.141) and (2.655,0.819) .. (2.655,0.819) -- cycle; \fill[xscale=\s] (0.001,-0.515) .. controls (0.219,-0.045) and (0.646,0.031) .. (1.373,0.481) .. controls (2.101,0.931) and (2.073,1.948) .. (2.073,1.948) .. controls (2.659,0.702) and (2.037,0.107) .. (1.241,0.051) .. controls (0.828,0.022) and (0.485,-0.159) .. (0.281,-0.339) arc (131.63:179.00:0.551) -- (0.094,-0.827) .. controls (0.094,-1.174) and (0.315,-1.386) .. (0.497,-1.386) arc (-90.62:-70.70:0.6) arc (109.65:61.61:0.265) -- (0.962,-1.393) .. controls (0.257,-1.93) and (-0.001,-2.721) .. (-0.001,-2.721) -- (-0.001,-2.286) .. controls (-0.001,-2.176) and (0.252,-1.836) .. (0.252,-1.836) arc (-104.01:-146.66:0.427) -- (0,-1.474) arc (-138.33:-125.53:0.717) arc (-124.14:-89.50:0.267) -- (0.408,-1.627) .. controls (0.408,-1.627) and (0.014,-1.438) .. (0.001,-1.225) -- cycle; }\end{scope}\begin{scope}[shift={(22.5,7.5)},scale=0.4] \fill (2.306,-1.241) arc (-28.29:-112.3:2.618) -- (-0.994,-2.429) arc (-93.68:-81.58:3.993) -- (-0.153,-2.389) arc (-83.79:-58.82:0.86) -- (0.201,-2.254) arc (-97.05:-184.05:1.606) -- (-1.21,-0.55) arc (-149.8:-94.56:0.619) arc (-88.46:-36.92:0.441) arc (-37.43:1.33:0.923) -- (-0.18,-0.096) arc (9.54:87.56:1.007) arc (92.27:159.92:1.104) -- (-2.134,0.025) arc (160.68:189.47:2.704) -- (-2.26,-1.321) arc (-149.69:-232.42:2.618) -- (-1.603,2.079) arc (146.24:158.42:3.993) -- (-1.993,1.327) arc (156.21:180.92:0.86) -- (-2.051,0.955) arc (142.84:55.79:1.606) -- (0.132,1.323) arc (89.85:145.32:0.619) arc (151.37:203.3:0.441) arc (-157.33:-118.58:0.923) -- (0.008,0.203) arc (-110.38:-32.62:1.007) arc (-27.9:39.55:1.104) -- (1.093,1.831) arc (40.53:69.3:2.704) -- (-0.006,2.618) arc (90.14:9.23:2.618) -- (2.57,0.413) arc (27.27:39.36:3.993) arc (40.55:64.77:0.86) -- (1.835,1.34) arc (24.44:-62.97:1.606) -- (1.093,-0.751) arc (-27.51:27.69:0.619) -- (1.088,-0.18) arc (34.65:83.57:0.441) arc (82.8:121.08:0.923) -- (0.176,-0.105) arc (129.31:208.61:1.007) arc (-146.78:-77.32:1.104) -- (1.098,-1.85) arc (-78.19:-49.16:2.704) -- cycle;\end{scope}\begin{scope}[shift={(25.7,7.5)},scale=0.4] \foreach \s in {1,-1} { \fill[xscale=\s,signal] (0,2.763) -- (0.355,2.201) arc (32.21:-40.7:0.493) -- (0,1.253) -- (0,2.763) -- cycle; \fill[xscale=\s] (0,-2.082) -- (-0.005,-2.079) arc (148.45:106.06:1.667) -- (0.951,-1.338) arc (-70.73:-1.96:1.585) -- (2.007,0.104) arc (-1.67:69.4:1.064) -- (1.315,1.125) arc (64.82:141.71:0.829) -- (0.231,0.892) -- (0.147,1.02) arc (-147.15:-224.83:0.104) arc (136.32:91.94:1.149) arc (86.29:-3.02:1.442) -- (2.284,-0.322) -- (2.267,-0.334) -- (2.28,-0.344) -- (2.29,-0.346) arc (-12.64:-70.19:1.83) -- (1.13,-1.681) arc (113.77:132.36:3.255) -- (0.255,-2.262) arc (130.88:174.59:0.758) -- (0,-2.082) -- cycle; \fill[xscale=\s] (0.335,-1.015) arc (-51.1:-32.72:2.82) -- (0.928,-0.338) arc (-33.9:22.21:0.661) -- (0.997,0.284) arc (28.2:113.26:0.442) -- (0.442,0.475) arc (146.28:64.18:0.634) -- (1.243,0.69) arc (60.27:24.76:0.55) -- (1.477,0.445) arc (20.17:-50.03:0.705) -- (1.268,-0.348) arc (88.74:25.04:0.441) arc (48.94:119.23:0.518) -- (1.071,-0.545) arc (-50.68:-64.16:3.721) -- cycle; \fill[xscale=\s] (1.977,1.322) arc (172.53:92.35:0.345) -- (2.724,1.639) -- (2.626,1.293) arc (-15.87:-97.75:0.375) -- (1.944,1.062) -- (1.977,1.322) -- cycle; \fill[xscale=\s] (2.945,-0.369) -- (2.74,-0.505) -- (2.729,-0.494) arc (-45.45:-138.73:0.197) -- (2.279,-0.345) -- (2.267,-0.334) -- (2.283,-0.323) -- (2.436,-0.21) -- (2.447,-0.22) arc (137.02:46.17:0.197) -- (2.945,-0.369) -- cycle; }\end{scope}\begin{scope}[shift={(28.9,7.5)},scale=0.4] \foreach \a in {0,60,...,300} { \fill[rotate=\a] (0,2.985) arc (-157.11:-145.64:8.222) -- (0.561,1.657) -- (0.566,1.653) arc (141.5:169.57:2.904) -- (0,0.815) arc (178.21:150.81:2.194) arc (-119.62:-146.24:0.834) -- (0,2.985) -- cycle; \fill[rotate=\a,xscale=-1] (0,2.985) arc (-157.11:-145.64:8.222) -- (0.561,1.657) -- (0.566,1.653) arc (141.5:169.57:2.904) -- (0,0.815) arc (178.21:150.81:2.194) arc (-119.62:-146.24:0.834) -- (0,2.985) -- cycle; \fill[rotate=\a] (0.029,0.051) -- (0.069,0.412) arc (173.72:122.07:0.322) -- (0.434,0.785) -- (0.448,0.776) -- (0.029,0.051) -- cycle; \fill[rotate=\a,xscale=-1] (0.029,0.051) -- (0.069,0.412) arc (173.72:122.07:0.322) -- (0.434,0.785) -- (0.448,0.776) -- (0.029,0.051) -- cycle; } \fill[signal] (0,0) circle (0.116);\end{scope}\begin{scope}[shift={(32.1,7.5)},scale=0.4] \foreach \a in {0,180} \fill[rotate=\a] (1.9,-0.67) -- (1.943,-0.636) arc (-51.73:-21.92:1.551) -- (2.416,-0.001) arc (33.05:51.82:10.928) -- (-0.001,2.615) -- (0.003,2.609) arc (126.53:141.19:9.198) -- (-1.676,0.972) arc (-166.60:-151.38:4.155) -- (-1.27,-0.051) -- (-1.266,-0.055) arc (135.94:123.55:7.582) -- (-0.001,0.98) arc (51.69:20.61:1.728) -- (-0.045,-0.326) -- (0.131,-0.564) -- (1.019,0.194) arc (26.93:46.35:5.033) -- (-0.001,1.551) -- (-1.131,0.594) arc (160.47:134.11:4.603) -- (-0.007,2.357) arc (42.64:22.58:10.285) -- cycle;\end{scope} % 02 Cryo: six turns and six mirrors\begin{scope}[shift={(0,0)}] % the six mirrors \foreach \a in {0,30,...,150} \draw[help lines,dashed] (\a:3.3) -- (\a+180:3.3); % one twelfth: between the arm's mirror and the petal's \draw[help lines] (60:3.15) arc (60:90:3.15) (75:3.15) node[above right] {$1/12$}; % half an arm and half a petal: five circles \draw[compass] (7.577,6.184) circle (8.222); \draw[compass] (2.839,-0.155) circle (2.904); \draw[compass] (2.193,0.746) circle (2.194); \draw[compass] (0.691,2.543) circle (0.834); \draw[compass] (0.389,0.377) circle (0.322); % the group: each turn of the twelfth, and its mirror image \foreach \a in {0,60,...,300} { \fill[rotate=\a,hatch=10] (0,2.985) arc (-157.11:-145.64:8.222) -- (0.561,1.657) -- (0.566,1.653) arc (141.5:169.57:2.904) -- (0,0.815) arc (178.21:150.81:2.194) arc (-119.62:-146.24:0.834) -- (0,2.985) -- cycle; \fill[rotate=\a,xscale=-1,hatch=10] (0,2.985) arc (-157.11:-145.64:8.222) -- (0.561,1.657) -- (0.566,1.653) arc (141.5:169.57:2.904) -- (0,0.815) arc (178.21:150.81:2.194) arc (-119.62:-146.24:0.834) -- (0,2.985) -- cycle; \fill[rotate=\a,hatch=3] (0.029,0.051) -- (0.069,0.412) arc (173.72:122.07:0.322) -- (0.434,0.785) -- (0.448,0.776) -- (0.029,0.051) -- cycle; \fill[rotate=\a,xscale=-1,hatch=3] (0.029,0.051) -- (0.069,0.412) arc (173.72:122.07:0.322) -- (0.434,0.785) -- (0.448,0.776) -- (0.029,0.051) -- cycle; } \fill[signal] (0,0) circle (0.116);\end{scope} % 03 Electro: three turns\begin{scope}[shift={(7.5,0)}] % the rim, R = phi^2 \draw[compass] (0,0) circle (2.618) (-2.95,1.55) node[left] {$R = \varphi^2$}; % nine circles; set the rim at phi^2 and three of them come within 1% of phi, 1/phi and 1 \draw[compass] (-58.89:0.771) circle (1.606) (0.398,0.946) -- (0.398,3.2) -- (2.25,3.2) node[right] {$r \approx \varphi$}; \draw[compass] (-40.5:0.716) circle (0.619) (0.544,0.154) -- (0.544,2.9) -- (2.25,2.9) node[right] {$r \approx \varphi^{-1}$}; \draw[compass] (-47.38:1.202) circle (1.007) (0.814,0.122) -- (0.814,2.6) -- (2.25,2.6) node[right] {$r \approx 1$}; \draw[compass] (-4.65:1.722) circle (3.993); \draw[compass] (55.64:0.965) circle (2.704); \draw[compass] (-41.76:1.144) circle (1.104); \draw[compass] (-53.9:1.12) circle (0.923); \draw[compass] (20.89:1.554) circle (0.86); \draw[compass] (-30.7:0.844) circle (0.441); % the same nine, turned to the other two blades \foreach \a in {120,240} { \draw[compass,rotate=\a] (-58.89:0.771) circle (1.606); \draw[compass,rotate=\a] (-40.5:0.716) circle (0.619); \draw[compass,rotate=\a] (-47.38:1.202) circle (1.007); \draw[compass,rotate=\a] (-4.65:1.722) circle (3.993); \draw[compass,rotate=\a] (55.64:0.965) circle (2.704); \draw[compass,rotate=\a] (-41.76:1.144) circle (1.104); \draw[compass,rotate=\a] (-53.9:1.12) circle (0.923); \draw[compass,rotate=\a] (20.89:1.554) circle (0.86); \draw[compass,rotate=\a] (-30.7:0.844) circle (0.441); } % the three blades: one outline \fill[hatch=14] (2.306,-1.241) arc (-28.29:-112.3:2.618) -- (-0.994,-2.429) arc (-93.68:-81.58:3.993) -- (-0.153,-2.389) arc (-83.79:-58.82:0.86) -- (0.201,-2.254) arc (-97.05:-184.05:1.606) -- (-1.21,-0.55) arc (-149.8:-94.56:0.619) arc (-88.46:-36.92:0.441) arc (-37.43:1.33:0.923) -- (-0.18,-0.096) arc (9.54:87.56:1.007) arc (92.27:159.92:1.104) -- (-2.134,0.025) arc (160.68:189.47:2.704) -- (-2.26,-1.321) arc (-149.69:-232.42:2.618) -- (-1.603,2.079) arc (146.24:158.42:3.993) -- (-1.993,1.327) arc (156.21:180.92:0.86) -- (-2.051,0.955) arc (142.84:55.79:1.606) -- (0.132,1.323) arc (89.85:145.32:0.619) arc (151.37:203.3:0.441) arc (-157.33:-118.58:0.923) -- (0.008,0.203) arc (-110.38:-32.62:1.007) arc (-27.9:39.55:1.104) -- (1.093,1.831) arc (40.53:69.3:2.704) -- (-0.006,2.618) arc (90.14:9.23:2.618) -- (2.57,0.413) arc (27.27:39.36:3.993) arc (40.55:64.77:0.86) -- (1.835,1.34) arc (24.44:-62.97:1.606) -- (1.093,-0.751) arc (-27.51:27.69:0.619) -- (1.088,-0.18) arc (34.65:83.57:0.441) arc (82.8:121.08:0.923) -- (0.176,-0.105) arc (129.31:208.61:1.007) arc (-146.78:-77.32:1.104) -- (1.098,-1.85) arc (-78.19:-49.16:2.704) -- cycle;\end{scope} % 04 Geo: a half turn, no mirror\begin{scope}[shift={(15,0)}] % the centre of the half turn \draw[help lines] (-0.25,0) -- (0.25,0) (0,-0.25) -- (0,0.25); % one piece: 9 circles \draw[compass] (-6.744,-5.962) circle (10.928); \draw[compass] (-7.573,-4.611) circle (10.285); \draw[compass] (5.479,-4.782) circle (9.198); \draw[compass] (4.183,-5.326) circle (7.582); \draw[compass] (-3.47,-2.086) circle (5.033); \draw[compass] (3.205,-0.944) circle (4.603); \draw[compass] (2.369,1.935) circle (4.155); \draw[compass] (-1.072,-0.375) circle (1.728); \draw[compass] (0.982,0.581) circle (1.551); % the piece, and the same piece turned by 180 degrees \foreach \a in {0,180} \fill[rotate=\a,hatch=12] (1.9,-0.67) -- (1.943,-0.636) arc (-51.73:-21.92:1.551) -- (2.416,-0.001) arc (33.05:51.82:10.928) -- (-0.001,2.615) -- (0.003,2.609) arc (126.53:141.19:9.198) -- (-1.676,0.972) arc (-166.60:-151.38:4.155) -- (-1.27,-0.051) -- (-1.266,-0.055) arc (135.94:123.55:7.582) -- (-0.001,0.98) arc (51.69:20.61:1.728) -- (-0.045,-0.326) -- (0.131,-0.564) -- (1.019,0.194) arc (26.93:46.35:5.033) -- (-0.001,1.551) -- (-1.131,0.594) arc (160.47:134.11:4.603) -- (-0.007,2.357) arc (42.64:22.58:10.285) -- cycle;\end{scope} % 05 Dendro: one mirror\begin{scope}[shift={(22.5,0)}] % the mirror \draw[help lines,dashed] (0,-3.2) -- (0,3.2); % the right half: 23 circles \draw[compass] (-1.287,2.334) circle (3.721); \draw[compass] (2.442,-4.66) circle (3.255); \draw[compass] (-1.438,1.182) circle (2.82); \draw[compass] (0.504,0.054) circle (1.83); \draw[compass] (1.416,-2.951) circle (1.667); \draw[compass] (0.428,0.158) circle (1.585); \draw[compass] (0.861,0.068) circle (1.442); \draw[compass] (0.993,0.356) circle (1.149); \draw[compass] (0.943,0.135) circle (1.064); \draw[compass] (0.962,0.375) circle (0.829); \draw[compass] (0.751,-2.835) circle (0.758); \draw[compass] (0.815,0.202) circle (0.705); \draw[compass] (0.379,0.031) circle (0.661); \draw[compass] (0.969,0.123) circle (0.634); \draw[compass] (0.97,0.212) circle (0.55); \draw[compass] (1.319,-0.991) circle (0.518); \draw[compass] (-0.062,1.938) circle (0.493); \draw[compass] (0.607,0.075) circle (0.442); \draw[compass] (1.258,-0.789) circle (0.441); \draw[compass] (2.265,1.396) circle (0.375); \draw[compass] (2.319,1.277) circle (0.345); \draw[compass] (2.591,-0.354) circle (0.197); \draw[compass] (0.235,1.077) circle (0.104); % the right half, then its mirror image \foreach \s in {1,-1} { \fill[xscale=\s,signal,hatch=3] (0,2.763) -- (0.355,2.201) arc (32.21:-40.7:0.493) -- (0,1.253) -- (0,2.763) -- cycle; \fill[xscale=\s,hatch=14] (0,-2.082) -- (-0.005,-2.079) arc (148.45:106.06:1.667) -- (0.951,-1.338) arc (-70.73:-1.96:1.585) -- (2.007,0.104) arc (-1.67:69.4:1.064) -- (1.315,1.125) arc (64.82:141.71:0.829) -- (0.231,0.892) -- (0.147,1.02) arc (-147.15:-224.83:0.104) arc (136.32:91.94:1.149) arc (86.29:-3.02:1.442) -- (2.284,-0.322) -- (2.267,-0.334) -- (2.28,-0.344) -- (2.29,-0.346) arc (-12.64:-70.19:1.83) -- (1.13,-1.681) arc (113.77:132.36:3.255) -- (0.255,-2.262) arc (130.88:174.59:0.758) -- (0,-2.082) -- cycle; \fill[xscale=\s,hatch=8] (0.335,-1.015) arc (-51.1:-32.72:2.82) -- (0.928,-0.338) arc (-33.9:22.21:0.661) -- (0.997,0.284) arc (28.2:113.26:0.442) -- (0.442,0.475) arc (146.28:64.18:0.634) -- (1.243,0.69) arc (60.27:24.76:0.55) -- (1.477,0.445) arc (20.17:-50.03:0.705) -- (1.268,-0.348) arc (88.74:25.04:0.441) arc (48.94:119.23:0.518) -- (1.071,-0.545) arc (-50.68:-64.16:3.721) -- cycle; \fill[xscale=\s,hatch=4] (1.977,1.322) arc (172.53:92.35:0.345) -- (2.724,1.639) -- (2.626,1.293) arc (-15.87:-97.75:0.375) -- (1.944,1.062) -- (1.977,1.322) -- cycle; \fill[xscale=\s,hatch=3] (2.945,-0.369) -- (2.74,-0.505) -- (2.729,-0.494) arc (-45.45:-138.73:0.197) -- (2.279,-0.345) -- (2.267,-0.334) -- (2.283,-0.323) -- (2.436,-0.21) -- (2.447,-0.22) arc (137.02:46.17:0.197) -- (2.945,-0.369) -- cycle; }\end{scope} % 06 Anemo: one mirror, free curves\begin{scope}[shift={(30,0)}] % the mirror \draw[help lines,dashed] (0,-3.2) -- (0,3.2); % the right half, curve by curve \foreach \s in {1,-1} { \fill[xscale=\s,working,hatch=10] (1.739,1.622) .. controls (1.739,2.329) and (0.907,2.721) .. (0.907,2.721) .. controls (1.646,1.086) and (0.242,0.17) .. (0.242,0.17) .. controls (0.882,0.34) and (1.739,0.634) .. (1.739,1.622) -- cycle; \fill[xscale=\s,working,hatch=10] (2.655,0.819) .. controls (2.655,0.819) and (2.301,-0.098) .. (1.485,-0.13) .. controls (0.67,-0.162) and (0.318,-0.19) .. (0.315,-0.749) .. controls (0.311,-1.307) and (0.878,-1.367) .. (0.906,-0.998) .. controls (0.906,-0.998) and (0.424,-0.99) .. (0.424,-0.664) .. controls (0.424,-0.339) and (0.709,-0.351) .. (0.826,-0.363) .. controls (0.942,-0.375) and (1.634,-0.913) .. (2.303,-0.527) .. controls (2.972,-0.141) and (2.655,0.819) .. (2.655,0.819) -- cycle; \fill[xscale=\s,working,hatch=10] (0.001,-0.515) .. controls (0.219,-0.045) and (0.646,0.031) .. (1.373,0.481) .. controls (2.101,0.931) and (2.073,1.948) .. (2.073,1.948) .. controls (2.659,0.702) and (2.037,0.107) .. (1.241,0.051) .. controls (0.828,0.022) and (0.485,-0.159) .. (0.281,-0.339) arc (131.63:179.00:0.551) -- (0.094,-0.827) .. controls (0.094,-1.174) and (0.315,-1.386) .. (0.497,-1.386) arc (-90.62:-70.70:0.6) arc (109.65:61.61:0.265) -- (0.962,-1.393) .. controls (0.257,-1.93) and (-0.001,-2.721) .. (-0.001,-2.721) -- (-0.001,-2.286) .. controls (-0.001,-2.176) and (0.252,-1.836) .. (0.252,-1.836) arc (-104.01:-146.66:0.427) -- (0,-1.474) arc (-138.33:-125.53:0.717) arc (-124.14:-89.50:0.267) -- (0.408,-1.627) .. controls (0.408,-1.627) and (0.014,-1.438) .. (0.001,-1.225) -- cycle; }\end{scope} % 07 Hydro: no turn or mirror, but four centres in a line\begin{scope}[shift={(37.5,0)}] % the vertical the rim and the long arcs are centred on \draw[help lines,dashed] (0,-3.05) -- (0,3.05); % the rim; the inside of the outer wave and the outside of the inner one; the curl \draw[compass] (0,0) circle (2.617) (0,2.617) node[above right] {$R$}; \draw[compass] (0,-0.324) circle (2.093) (0,1.769) node[below right] {$0.8\,R$}; \draw[compass] (0,-0.66) circle (1.832) (0,1.172) node[above right] {$0.7\,R$}; \draw[compass] (0,-1.253) circle (0.94) (0,-0.313) node[above right] {$0.36\,R$}; % the rest of the two waves: the tail's edges, the inner wave's inside, the round ends \draw[compass] (-0.046,0.213) circle (2.626); \draw[compass] (-0.164,-0.081) circle (2.311); \draw[compass] (-0.321,-1.086) circle (1.483); \draw[compass] (-0.068,-1.036) circle (1.456); \draw[compass] (0.043,-1.068) circle (1.343); \draw[compass] (-1.995,1.085) circle (0.348); \draw[compass] (-0.545,0.715) circle (0.358); % the rest of the curl \draw[compass] (0.139,-1.253) circle (0.802); \draw[compass] (0.048,-1.42) circle (0.77); \draw[compass] (0.197,-1.418) circle (0.634); \draw[compass] (-0.067,-1.444) circle (0.555); \draw[compass] (-0.258,-1.441) circle (0.364); \draw[compass] (0.558,-1.105) circle (0.363); \draw[compass] (-0.115,-1.214) circle (0.319); % the two waves, the curl, the two drops \fill[hatch=14] (2.618,0.03) arc (0.65:-108.11:2.617) arc (-109.36:-144.23:1.483) arc (-126.01:-106.96:2.311) -- (-0.765,-2.313) arc (-105.89:-89.03:2.626) -- (0.084,-2.411) arc (-88.26:-25.23:1.343) arc (-24.51:105.2:1.456) -- (-0.544,0.357) arc (-89.81:-245.57:0.358) -- (-0.678,1.045) -- (-0.66,1.051) arc (111.1:-48.41:1.832) arc (-54.52:144.29:2.093) -- (-1.722,0.869) arc (-38.34:-203.46:0.348) -- (-2.287,1.274) arc (150.88:0.65:2.617) -- cycle; \fill[hatch=14] (-0.622,-1.445) arc (-179.34:-153.86:0.364) arc (-154.3:-90.05:0.802) -- (0.139,-2.049) arc (-95.26:-25.01:0.634) arc (-20.19:-93.54:0.77) -- (0,-2.193) arc (-89.97:-344.28:0.94) -- (0.91,-1.015) -- (0.914,-1.029) -- (0.92,-1.072) arc (5.23:-168.1:0.363) -- (0.198,-1.147) arc (12.01:90.06:0.319) -- (-0.164,-0.898) -- (-0.195,-0.904) arc (103.38:180.12:0.555) -- cycle; \fill[signal,hatch=3] (-2.251,-0.04) circle (0.347) (-1.776,-1.184) circle (0.254);\end{scope} % 08 Pyro: no turn or mirror at all\begin{scope}[shift={(45,0)}] % the flame, curve by curve \fill[working,hatch=10] (-0.046,2.854) .. controls (-0.046,2.854) and (-0.046,2.397) .. (-0.313,2.055) .. controls (-0.58,1.714) and (-0.805,1.509) .. (-0.805,1.154) .. controls (-0.805,0.799) and (-0.545,0.519) .. (0.151,0.232) .. controls (0.848,-0.055) and (1.211,-0.478) .. (1.211,-0.874) .. controls (1.211,-1.27) and (0.931,-1.817) .. (0.005,-1.81) .. controls (-0.91,-1.666) and (-0.462,-0.888) .. (-0.217,-0.806) .. controls (-0.217,-0.806) and (-0.926,-0.745) .. (-0.926,-1.251) .. controls (-0.926,-1.756) and (-0.257,-1.919) .. (0.135,-1.919) .. controls (0.528,-1.919) and (1.73,-1.687) .. (1.73,-0.663) .. controls (1.73,-0.26) and (1.573,-0.034) .. (1.573,-0.034) .. controls (1.573,-0.034) and (2.168,-0.264) .. (2.098,-0.847) .. controls (2.01,-1.583) and (0.945,-1.635) .. (0.049,-2.487) .. controls (0.049,-2.487) and (-0.19,-2.208) .. (-1.009,-1.803) .. controls (-1.477,-1.571) and (-2.042,-1.373) .. (-2.026,-0.684) .. controls (-2.013,-0.11) and (-1.405,0.123) .. (-1.405,0.123) .. controls (-1.405,0.123) and (-2.429,-0.929) .. (-0.961,-1.625) .. controls (-0.961,-1.625) and (-1.91,-0.15) .. (-0.039,0.171) .. controls (-0.039,0.171) and (-1.056,0.43) .. (-1.097,1.304) .. controls (-1.097,1.304) and (-1.268,0.812) .. (-1.514,0.553) .. controls (-1.76,0.294) and (-2.373,-0.317) .. (-2.291,-1.007) .. controls (-2.209,-1.696) and (-0.599,-2.083) .. (0.043,-2.855) .. controls (0.043,-2.855) and (0.562,-2.316) .. (1.088,-2.063) .. controls (1.613,-1.81) and (3.368,-0.998) .. (1.355,0.539) .. controls (1.355,0.539) and (1.047,0.744) .. (1.02,1.311) arc (137.30:179.50:1.03) .. controls (0.747,0.197) and (1.048,0.272) .. (1.081,-0.123) .. controls (1.081,-0.123) and (0.487,0.382) .. (0.494,0.778) .. controls (0.501,1.174) and (0.651,1.597) .. (0.651,1.597) .. controls (0.651,1.597) and (-0.38,1.126) .. (0.132,0.382) .. controls (0.132,0.382) and (-0.243,0.532) .. (-0.162,1.037) .. controls (-0.08,1.543) and (1.033,1.557) .. (-0.046,2.854) -- cycle; \fill[working,hatch=10] (0.265,-1.437) .. controls (0.265,-1.437) and (0.828,-1.261) .. (0.828,-0.821) .. controls (0.828,-0.38) and (-0.008,0.398) .. (-0.693,-0.615) .. controls (-0.693,-0.615) and (-0.043,-0.298) .. (0.244,-0.718) .. controls (0.531,-1.138) and (0.265,-1.437) .. (0.265,-1.437) -- cycle;\end{scope} \end{tikzpicture}