creating a 3d object based off of a information gathered from user input 3d graph

I'm trying to create a 3d object based off of information gathered from a previous user input 3d graph. here is what i have so far.

sidelength = input('Enter Sidelength');
height = input('Enter Height');
V=nsidedpoly(10,'Side',sidelength).Vertices;
V(end+1,3)=-height;
trisurf( delaunay(V(:,1:2)), V(:,1), V(:,2), V(:,3),'FaceColor','c')
%% calculating angle for new shape based off sidelength and height input
x6 = (sidelength*3.078)/2;
angle1 = atand(height/x6);
angle2 = 90-angle1

The thickness of this object isn't very important, and it doesn't need to have a fixed height either. The object just needs to fit flush at the base of the decagon angle (150degrees) and follow slant of the user input pyramid (angle2). I added an image to help illustrate what i mean. I don't quite know if this is possible to do, any help would be greatly appreciated.

[Matthew]

i've added

L = sidelength/2 % 
a = (3.236*sidelength)/2  % this would be the 2d angle orgin for this new shape. 

I'm still trying to figure out how to get this line to extend L from a at 150degrees.

the next step i believe would be turning this new 150 deree line into a plane that follows angle2 towards the vertex of the pyramid.

Answer 1

[Yatharth]

Hi Matthew,

I understand that you want to create a 3D figure based on user's input.

You can represent the base decagon and the new shape in a 3D space to create a 3D plot for the provided scenario. Here's how you can adjust the current code to accomplish this.

% User input for side length and height
sidelength = input('Enter Sidelength: ');
height = input('Enter Height: ');

% Create the base decagon
V = nsidedpoly(10, 'Side', sidelength).Vertices;
V(end+1, 3) = -height; % Set the z-coordinate to -height for the base vertices

% Plot the base decagon
trisurf(delaunay(V(:,1), V(:,2)), V(:,1), V(:,2), V(:,3), 'FaceColor', 'c');
hold on; % Hold the plot so we can add the new shape

% Calculating angle for new shape based off sidelength and height input
x6 = (sidelength * 3.078) / 2;
angle1 = atand(height / x6);
angle2 = 90 - angle1;

% Define the new shape based on the calculated angles
% Example: creating a new triangular shape based on the calculated angles
% Define the vertices of the new shape
new_shape_vertices = [0, 0, 0; sidelength, 0, 0; sidelength / 2, 0, tand(angle2) * sidelength / 2];

% Plot the new shape
fill3(new_shape_vertices(:,1), new_shape_vertices(:,2), new_shape_vertices(:,3), 'r');

% Additional adjustments and annotations can be added here

hold off; % Release the hold on the plot
xlabel('X');
ylabel('Y');
zlabel('Z');
title('3D Object with New Shape');

In this modified code, the 'trisurf' function is used to plot the base decagon, and the 'fill3' function is used to plot the new shape. This will create a 3D plot showing the base decagon and the new shape in a 3D space.

You can read more about 'fill3' here. https://www.mathworks.com/help/matlab/ref/fill3.html

I hope this helps!