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| View Original: | Circle as convex metric space.png (1103x1081) | |||
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| Keywords: Circle as convex metric space.png Circle as convex metric space Made with Matlab own Circle-convex-metric-space svg Created with MATLAB Source code MATLAB <source lang matlab > an illustration of a circle as a convex metric space function main N 100; Theta linspace 0 2 1 pi N ; X cos Theta ; Y sin Theta ; figure 1 ; clf; hold on; axis equal; axis off; lw 1 5; black 0 0 0; plot X Y 'color' black 'linewidth' lw plot some balls to emphasize where the points are ball_rad 0 07; blue 0 0 1; red 1 0 0; t 0 45; P floor N t ; ball X P Y P ball_rad blue t 0 2; Q floor N t ; ball X Q Y Q ball_rad red t 0 05; R floor N t ; ball X R Y R ball_rad blue plot text fs 50; d 0 008; ii sqrt -1 ; place_text_smartly X P +i Y P fs 2 7 d '\it x ' 6 place_text_smartly X R +i Y R fs 6 2 d '\it y ' 6 place_text_smartly X Q +i Y Q fs 1 5 d '\it z ' 6 a phony box to avoid matlab bugs in saving to eps h0 0 3; white 0 99 1 1 1; plot 0 1+h0 'color' white ; plot 0 - 1+h0 'color' white ; saveas gcf 'Circle_as_convex_metric_space eps' 'psc2' ; function ball x y r color Theta 0 0 1 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y color ; set H 'EdgeColor' 'none' ; function place_text_smartly z font_size pos d tx N p cos 2 pi/N +sqrt -1 sin 2 pi/N ; z z + p pos d font_size; shiftx 0 00003; shifty 0 003; x real z ; y imag z ; H text x+shiftx font_size y+shifty font_size tx ; set H 'fontsize' font_size 'HorizontalAlignment' 'c' 'VerticalAlignment' 'c' </source> Images with Matlab source code Metric geometry Files by User Oleg Alexandrov from en wikipedia | ||||
