Body-mass index

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Body mass index
Ex BMI.png
author Leif Roschier

Theory and background

Body mass index (BMI) is measure of obesity and it is calculated as [1]

[math]\mathrm{BMI} = \frac{\mathit{weight} \ \mathrm{(kg)}}{\mathit{height}^2 (\mathrm{m^2})}[/math]

Construction of the nomograph

A type 2 was chosen and dual scales were put by using type 8 singular blocks.

References

  1. http://en.wikipedia.org/wiki/Body_mass_index

Generated nomograph

Body mass index
Ex BMI.png
Generated portable document file (pdf): File:Ex BMI.pdf

Source code

"""
    ex_BMI.py
 
    Body mass index BMI=w(kg)/h(m)**2
 
    Copyright (C) 2007-2009  Leif Roschier
 
    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.
 
    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
"""
from pynomo.nomographer import *
 
N_params_1={
        'u_min':1.40,
        'u_max':2.2,
        'function':lambda u:u**2,
        'title':r'(feet)  height (m)',
        'tick_levels':3,
        'tick_text_levels':2,
        'tag':'height',
        #'title_x_shift':0.8,
                }
 
N_params_2={
        'u_min':15.0,
        'u_max':55.0,
        'function':lambda u:1.0/u,
        'title':r'BMI',
        'tick_levels':3,
        'tick_text_levels':2,
        'tick_side':'left',
        'title_draw_center':True,
        'title_opposite_tick':False,
                }
 
N_params_3={
        'u_min':30.0,
        'u_max':200.0,
        'function':lambda u:u,
        'title':r'(lbs)  weight (kg)',
        'tick_levels':3,
        'tick_text_levels':1,
        'tag':'mass',
        #'title_x_shift':0.8,
                }
 
block_1_params={
             'block_type':'type_2',
             'width':10.0,
             'height':10.0,
             'f1_params':N_params_1,
             'f2_params':N_params_2,
             'f3_params':N_params_3,
             'isopleth_values':[[1.84,'x',85]]
             }
 
weight_params_lbs={
        'tag':'mass',
        'u_min':30.0*2.2,
        'u_max':200.0*2.2,
        'function':lambda u:u,
        #'title':r'm (lbs)',
        'tick_levels':3,
        'align_func':lambda u:u/2.2,
        'tick_text_levels':2,
        'tick_side':'left',
        'scale_type':'linear',
        'title_x_shift':-0.8,
                }
 
block_2_params={
                 'block_type':'type_8',
                 'f_params':weight_params_lbs,
                 'isopleth_values':[['x']]
                 }
 
height_params_inch={
        'tag':'height',
        'u_min':140.0/(2.54*12),
        'u_max':220.0/(2.54*12),
        'function':lambda u:u**2,
        #'title':r'h (inch)',
        'tick_levels':2,
        'align_func':lambda u:u/100.0*2.54*12,
        'tick_text_levels':1,
        'tick_side':'right',
        'scale_type':'linear',
        'title_x_shift':-0.8,
        'tick_side':'left',
                }
 
block_3_params={
                 'block_type':'type_8',
                 'f_params':height_params_inch,
                 'isopleth_values':[['x']]
                 }
 
main_params={
              'filename':'ex_BMI.pdf',
              'paper_height':12.0,
              'paper_width':8.0,
              'block_params':[block_1_params,block_2_params,block_3_params],
              'transformations':[('rotate',0.01),('scale paper',)],
              'title_str':r"Body mass index $BMI=W($kg$)/H($m$)^2$"
              }
Nomographer(main_params)