{"id":1182,"date":"2021-11-26T21:21:15","date_gmt":"2021-11-27T05:21:15","guid":{"rendered":"https:\/\/gantovnik.com\/bio-tips\/?p=1182"},"modified":"2021-11-26T21:21:15","modified_gmt":"2021-11-27T05:21:15","slug":"204-mandelbrot-fractal-using-python-2-2","status":"publish","type":"post","link":"https:\/\/gantovnik.com\/bio-tips\/2021\/11\/204-mandelbrot-fractal-using-python-2-2\/","title":{"rendered":"#206 Triangulation using matplotlib"},"content":{"rendered":"<pre class=\"brush: python; title: ; notranslate\" title=\"\">\r\nimport matplotlib.pyplot as plt\r\nfrom matplotlib.tri import Triangulation\r\nfrom matplotlib.patches import Polygon\r\nimport numpy as np\r\n\r\ndef update_polygon(tri):\r\n    if tri == -1:\r\n        points = &#x5B;0, 0, 0]\r\n    else:\r\n        points = triang.triangles&#x5B;tri]\r\n    xs = triang.x&#x5B;points]\r\n    ys = triang.y&#x5B;points]\r\n    polygon.set_xy(np.column_stack(&#x5B;xs, ys]))\r\n\r\ndef on_mouse_move(event):\r\n    if event.inaxes is None:\r\n        tri = -1\r\n    else:\r\n        tri = trifinder(event.xdata, event.ydata)\r\n    update_polygon(tri)\r\n    ax.set_title(f'In triangle {tri}')\r\n    event.canvas.draw()\r\n\r\n# Create a Triangulation.\r\nn_angles = 16\r\nn_radii = 5\r\nmin_radius = 0.25\r\nradii = np.linspace(min_radius, 0.95, n_radii)\r\nangles = np.linspace(0, 2 * np.pi, n_angles, endpoint=False)\r\nangles = np.repeat(angles&#x5B;..., np.newaxis], n_radii, axis=1)\r\nangles&#x5B;:, 1::2] += np.pi \/ n_angles\r\nx = (radii*np.cos(angles)).flatten()\r\ny = (radii*np.sin(angles)).flatten()\r\ntriang = Triangulation(x, y)\r\ntriang.set_mask(np.hypot(x&#x5B;triang.triangles].mean(axis=1),y&#x5B;triang.triangles].mean(axis=1)) &lt; min_radius)\r\n\r\n# Use the triangulation's default TriFinder object.\r\ntrifinder = triang.get_trifinder()\r\n\r\n# Setup plot and callbacks.\r\nfig, ax = plt.subplots(subplot_kw={'aspect': 'equal'})\r\nax.triplot(triang, 'bo-')\r\npolygon = Polygon(&#x5B;&#x5B;0, 0], &#x5B;0, 0]], facecolor='y')  # dummy data for (xs, ys)\r\nupdate_polygon(-1)\r\nax.add_patch(polygon)\r\nfig.canvas.mpl_connect('motion_notify_event', on_mouse_move)\r\nplt.savefig('ex206.png', dpi=72)\r\nplt.show()\r\n<\/pre>\n<p><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex206.png?resize=432%2C288&#038;ssl=1\" alt=\"\" width=\"432\" height=\"288\" class=\"alignnone size-full wp-image-1183\" srcset=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex206.png?w=432&amp;ssl=1 432w, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex206.png?resize=300%2C200&amp;ssl=1 300w, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex206.png?resize=150%2C100&amp;ssl=1 150w\" sizes=\"(max-width: 432px) 100vw, 432px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>import matplotlib.pyplot as plt from matplotlib.tri import Triangulation from matplotlib.patches import Polygon import numpy as np def update_polygon(tri): if tri == -1: points = &#x5B;0, 0, 0] else: points = triang.triangles&#x5B;tri] xs = triang.x&#x5B;points] ys = triang.y&#x5B;points] polygon.set_xy(np.column_stack(&#x5B;xs, ys])) def on_mouse_move(event): if event.inaxes is None: tri = -1 else: tri = trifinder(event.xdata, event.ydata) update_polygon(tri) ax.set_title(f&#8217;In [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_lmt_disableupdate":"yes","_lmt_disable":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[2],"tags":[],"class_list":["post-1182","post","type-post","status-publish","format-standard","hentry","category-python"],"modified_by":"gantovnik","jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8bH0k-j4","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":2007,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/401-add-labels-to-line-plot-in-python\/","url_meta":{"origin":1182,"position":0},"title":"#401 Add labels to line plot in python","author":"gantovnik","date":"2024-01-05","format":false,"excerpt":"[code language=\"python\"] import matplotlib.pyplot as plt import numpy as np plt.clf() # using some dummy data for this example n = 25 xs = np.linspace(1, 100, num=n) ys = np.random.normal(loc=3, scale=0.4, size=n) # 'bo-' means blue color, round points, solid lines plt.plot(xs,ys,'bo-') # zip joins x and y coordinates in\u2026","rel":"","context":"In &quot;matplotlib&quot;","block_context":{"text":"matplotlib","link":"https:\/\/gantovnik.com\/bio-tips\/category\/matplotlib\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex401.png?fit=640%2C480&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex401.png?fit=640%2C480&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex401.png?fit=640%2C480&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":2889,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/07\/440-cycloid-on-interactive-figure-with-widgets-in-python\/","url_meta":{"origin":1182,"position":1},"title":"#440 Cycloid on interactive figure with widgets in python","author":"gantovnik","date":"2024-07-21","format":false,"excerpt":"import numpy as np import matplotlib.pyplot as plt from matplotlib.widgets import Slider theta = np.linspace(0,2*np.pi) circ_x = lambda t: t + np.cos(theta) circ_y = 1 + np.sin(theta) cycl_x = lambda t: t - np.sin(t) cycl_y = lambda t: 1 - np.cos(t) t = 0 fig,ax = plt.subplots() plt.subplots_adjust(bottom=0.2) plt.ylim(0, 3)\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex440.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex440.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex440.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":2059,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/407-multiple-axes-animation-using-python\/","url_meta":{"origin":1182,"position":2},"title":"#407 Multiple axes animation using python","author":"gantovnik","date":"2024-01-14","format":false,"excerpt":"y=sin(x) [code language=\"python\"] import matplotlib.pyplot as plt import numpy as np import matplotlib.animation as animation from matplotlib.patches import ConnectionPatch fig, (axl, axr) = plt.subplots( ncols=2, sharey=True, figsize=(6, 2), gridspec_kw=dict(width_ratios=[1, 3], wspace=0), ) axl.set_aspect(1) axr.set_box_aspect(1 \/ 3) axr.yaxis.set_visible(False) axr.xaxis.set_ticks([0, np.pi, 2 * np.pi], [\"0\", r\"$\\pi$\", r\"$2\\pi$\"]) # draw circle with initial\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex407.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex407.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex407.gif?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":2065,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/408-animated-line-plot-in-python\/","url_meta":{"origin":1182,"position":3},"title":"#408 Animated line plot in python","author":"gantovnik","date":"2024-01-14","format":false,"excerpt":"[code language=\"python\"] import numpy as np from matplotlib import pyplot as plt from matplotlib.animation import FuncAnimation plt.style.use('seaborn-pastel') fig = plt.figure() n=10 ax = plt.axes(xlim=(0, n), ylim=(-2, 2)) line, = ax.plot([], [], c=\"blue\") def init(): line.set_data([], []) return line, def animate(i): n = 10 x = np.linspace(0, n, 1000) y =\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex408-1.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex408-1.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex408-1.gif?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":1877,"url":"https:\/\/gantovnik.com\/bio-tips\/2023\/07\/355-animation-of-domain-coloring-using-python\/","url_meta":{"origin":1182,"position":4},"title":"#355 Animation of domain coloring using python","author":"gantovnik","date":"2023-07-01","format":false,"excerpt":"[code language=\"python\"] # pip install celluloid #%matplotlib qt import numpy as np from matplotlib import pyplot as plt from matplotlib.colors import hsv_to_rgb from celluloid import Camera fig = plt.figure() camera = Camera(fig) for a in np.linspace(0, 2 * np.pi, 30, endpoint=False): x = np.linspace(-3, 3, 800) X, Y = np.meshgrid(x,\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex355.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex355.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex355.gif?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":260,"url":"https:\/\/gantovnik.com\/bio-tips\/2019\/01\/interpolation\/","url_meta":{"origin":1182,"position":5},"title":"Interpolation","author":"gantovnik","date":"2019-01-15","format":false,"excerpt":"[code language=\"python\"] import os import numpy as np import matplotlib.pyplot as plt from scipy.interpolate import interp1d os.chdir(r'D:\\data\\scripts\\wordpress\\ex50') os.getcwd() A,nu,k=10,4,2 def f(x,A,nu,k): return A*np.exp(-k*x)*np.cos(2*np.pi*nu*x) xmax,nx=0.5,8 x=np.linspace(0,xmax,nx) y=f(x,A,nu,k) f_nearest=interp1d(x,y,kind='nearest') f_linear =interp1d(x,y) f_cubic =interp1d(x,y,kind='cubic') x2=np.linspace(0,xmax,100) plt.plot(x,y,'o',label='datapoints') plt.plot(x2,f(x2,A,nu,k),label='exact') plt.plot(x2,f_nearest(x2),label='nearest') plt.plot(x2, f_linear(x2), label='linear') plt.plot(x2, f_cubic(x2), label='cubic') plt.legend() plt.show() plt.tight_layout() plt.savefig(\"example50.png\", dpi=100) plt.show() plt.close() [\/code]","rel":"","context":"In &quot;python&quot;","block_context":{"text":"python","link":"https:\/\/gantovnik.com\/bio-tips\/category\/python\/"},"img":{"alt_text":"example50","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2019\/01\/example50-1.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2019\/01\/example50-1.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2019\/01\/example50-1.png?resize=525%2C300 1.5x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/1182","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/comments?post=1182"}],"version-history":[{"count":0,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/1182\/revisions"}],"wp:attachment":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/media?parent=1182"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/categories?post=1182"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/tags?post=1182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}