# Mathober2025_Faithful

# 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

```javascript
Directions
Flowing out of Relations
Sensations
Manufactured from Descension
```

## Images

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1760617059381/89d6041c-5532-45b2-b1cc-bc7c25cb5fdb.png align="center")

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1760616775710/9f2edff9-451e-4f7d-b020-714af39b6dd9.png align="center")

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1760616961121/eb035e6b-9f4e-41d9-916d-bbd3bf2c6c8b.png align="center")

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1760616780448/ced04552-dfef-45e9-9041-35536aee455e.png align="center")

## Code

```python
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](https://doi.org/10.1016/j.endeavour.2018.07.006)