Mesh

from tkinter import *
import time
import numpy as np
import math
tk=Tk()
WIDTH=500
HEIGHT=400
canvas=Canvas(tk,width=WIDTH,height=HEIGHT)
tk.title('Mesh')
canvas.pack()

LENGTH=70
DIMEN=120
ROWS=1
COLUMNS=1
k=300
dt=.001
    
class Particles:
    def __init__(self,pos):
        self.shape=canvas.create_rectangle(DIMEN*pos[0],DIMEN*pos[1],DIMEN*pos[0]+10,DIMEN*pos[1]+10,fill='blue')
        self.vel=[0,0]
    def move(self,above,below,left,right):
        rel_pos=[above,below,left,right]
        acc=[0,0]
        for i in rel_pos:
            if i=='none':
                acc_i=[0,0]
            else:
                vec=[i[0]-pos[0],i[1]-pos[1]]
                acc_i=(np.dot(((np.linalg.norm(vec)-LENGTH)*k/np.linalg.norm(vec)),(np.dot(vec,(1,0)),np.dot(vec,(0,1)))))
            acc=[acc[0]+acc_i[0],acc[1]+acc_i[1]]
        self.vel+=np.dot(acc,dt)
        canvas.move(self.shape,self.vel[0]*dt,self.vel[1]*dt)
        tk.update()
        time.sleep(.01)
        
particles=[]
for x in range(COLUMNS):
    particles.append([])
    for y in range(ROWS):
        particles[x].append(Particles([x,y]))
        
for t in range(100):
    for column in range (COLUMNS):
        for particle in range (ROWS):
            if particle==0:
                above='none'
            else:
                above=canvas.coords(particles[column][particle-1].shape)
                above=[above[0],above[1]]
            if particle==ROWS-1:
                below='none'
            else:
                below=canvas.coords(particles[column][particle+1].shape)
                below=[below[0],below[1]]
            if column==0:
                left='none'
            else:
                left=canvas.coords(particles[column-1][particle].shape)
                left=[left[0],left[1]]
            if column==COLUMNS-1:
                right='none'
            else:
                right=canvas.coords(particles[column+1][particle].shape)
                right=[right[0],right[1]]
            pos=canvas.coords(particles[column][particle].shape)
            pos=[pos[0],pos[1]]
            particles[column][particle].move(above,below,left,right)