#!/usr/bin/env python
# coding: utf-8

# ![satacad](./images/satacadlogo.gif)
# TOC: [1](./mm1.ipynb)  [2](./mm2.ipynb)  [4](./mm4.ipynb)  [5](./mm5.ipynb) [6](./mm6.ipynb)
# 
# # A & B MODULES
# 
# ![A & B modules](./images/abmod.gif )
# 
# ![A & B modules](./images/a_b_modules.gif )
# 
# # T & E MODULES
# 
# ![T & E modules](./images/t-mod-from-rhombic-triac.gif)
# 
# # S MODULE
# 
# <a data-flickr-embed="true"  href="https://www.flickr.com/photos/kirbyurner/6335726352/in/photolist-vLby2U-ujipN3-f75zUP-aDSfHf-8ryEix-8ryECF-7mcmne-5zTRjp-5zY9gA-7k4Eid-7k4Em5-7jZLe2-7jZLhp-7k4Ejf" title="S Module"><img src="https://farm7.staticflickr.com/6114/6335726352_902009df40.jpg" width="500" height="441" alt="S Module"></a><script async src="//embedr.flickr.com/assets/client-code.js" charset="utf-8"></script>

# In[1]:


# build a Python dictionary of volumes
from math import sqrt

φ = (1 + sqrt(5))/2

volumes = dict((("tetrahedron", 1), 
                ("cube", 3), 
                ("octahedron", 4), 
                ("rhombic dodecahedron", 6)))

modules = dict((("A module", 1/24), 
                ("B module", 1/24), 
                ("T module", 1/24), 
                ("E module", (sqrt(2)/8) * (φ ** -3)),
                ("S module", (φ **-5)/2)))

volumes.update(modules)
template = "| {s:30} |  {v:7} |"
print(template.format(s = "SHAPE", v = "VOLUME"))
print("-" * 45)

template = "| {s:30} |  {v:6.5f} |"

# sorted by volume, not shape name
for shape, volume in sorted(tuple(volumes.items()), key=lambda x: x[1]):
    print(template.format(s=shape, v=volume))