Mathematical Sociology

%BTS and ARMY logo over a fluid flow background

%Monica Morales Hernandez

%Summer 2025

%This code display the BTS and ARMY logos in a background

%representing fluid flow

close all

clc

% Create figure

figure

axis equal

axis off

hold on

set(gcf, 'Color', 'w')  % White background

% Define colors

lavender_purple = [172, 139, 238] / 255;

shadow_color = [100, 100, 100] / 255;

% === Swirling Background Field ===

[xg, yg] = meshgrid(linspace(0, 8, 100), linspace(0, 6, 100));

u = sin(yg) + cos(2 * xg);

v = -cos(xg) + sin(2 * yg);

magnitude = sqrt(u.^2 + v.^2) + 0.1;

u = u ./ magnitude;

v = v ./ magnitude;

% Plot streamlines

h = streamslice(xg, yg, u, v, 1.2);

set(h, 'Color', [0.8 0.85 1], 'LineWidth', 1.2)

% Define lavender purple color (#ac8bee)

lavender_purple = [172, 139, 238] / 255;

%% === Left-side BTS Logo with flipped orientation ===

% Original flipped trapezoid coordinates (notice reversed y order)

x1 = [1, 1, 2, 2];

y1 = [3.9, 1.7, 1, 5];

% Reflection over vertical axis x = 2.2

reflection_axis_1 = 2.1;

x1_reflected = 2 * reflection_axis_1 - x1;

% Draw the original and reflected trapezoids

fill(x1, y1, lavender_purple, 'EdgeColor', 'none')

fill(x1_reflected, y1, lavender_purple, 'EdgeColor', 'none')

% Label

text(2, 0.5, 'ARMY', 'HorizontalAlignment', 'center', ...

    'FontSize', 24, 'FontWeight', 'bold', ...

    'Color', lavender_purple, 'FontName', 'Arial')

%% === Right-side BTS Logo using standard orientation ===

% Original trapezoid coordinates

x2 = [1, 1, 2, 2];

y2 = [1, 5, 3.9, 1.7];

% Shift to the right (to avoid overlap with left logo)

x2 = x2 + 4;

% Reflection over vertical axis x = 6.2

reflection_axis_2 = 6.08;

x2_reflected = 2 * reflection_axis_2 - x2;

% Draw the original and reflected trapezoids

fill(x2, y2, lavender_purple, 'EdgeColor', 'none')

fill(x2_reflected, y2, lavender_purple, 'EdgeColor', 'none')

% Label

text(6.2, 0.5, 'BTS', 'HorizontalAlignment', 'center', ...

    'FontSize', 24, 'FontWeight', 'bold', ...

    'Color', lavender_purple, 'FontName', 'Arial')

%% === Final axis settings ===

xlim([0 9])

ylim([0 7])

% Export final image

%exportgraphics(gcf, 'bts_army_side_by_side.png', 'Resolution', 300)