DistortedDendrogramming

For my 22nd sketch of Mathober2025 coded in Python, DistortedDendrogramming takes the 16th prompt of Faithful and uses a distorted Dendrogram as the source for this prompt.

The directed graph can act as a mediating object because of the second main feature to be discussed: The graphs are examples of “faithful representations.” - (Carter, 2018). Since Dendrograms are a form of directed graphs, It matches the prompt.

Poetry

Directions
Flowing out of Relations
Sensations
Manufactured from Descension

Images

Code

import plotly.figure_factory as ff

import random as rd

import numpy as np

X = np.random.rand(10, 12)
Y = np.random.rand(10, 12)

senses = ['Taste','Smell','Touch','Sight','Sound','Sixth Sense','Aura','Planetary','InterPersonal','Microscopic']
rd.shuffle(senses)

#double up some of the senses
sensesSliced = senses[1:8] + senses[1:4]
sensesSliced2 = senses[4:10] +senses[4:8] 

fig = ff.create_dendrogram(X,orientation='right',labels=sensesSliced)
fig1 = ff.create_dendrogram(Y,orientation='right',labels=sensesSliced2)
fig.show()
fig1.show()

Reference

Carter, J. (2018). Graph-algebras—faithful representations and mediating objects in Mathematics. Endeavour, 42(2–3), 180–188. https://doi.org/10.1016/j.endeavour.2018.07.006