How to create a surface with "faces" and "vertices" to use surface interface ?

i am trying a simple code:

clc;

clear all;

close all;

%Below are 3D points I would like to generate mesh

x1=[0 0 1 1 1 1 0 0 0 0];

y1=[0 0 0 0 1 1 1 1 0 0];

z1=[0 1 0 1 0 1 0 1 0 1];

% Below are expanded to 2D version;

x=[0 0 1 1 2 2 3 3 4 4];

y=[0 1 0 1 0 1 0 1 0 1];

z=[0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5];

% generate mesh for 2D version,

DT = delaunaydelaunay(x,y);

%Plot the results for 3D version

Surface1=trimesh(DT,x1,y1, z1)

hold on;

Surface2=trimesh(DT,x,y, z)

[~, Surf12] = SurfaceIntersection(Surface1, Surface2);