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iso_delta - isohedral deltahedra

Usage

Synopsis

Description

Options

polyhedron

The polyhedron may be specified by its list number, or the (start of the) name of the polyhedron. Additional examples can be generated using -d or -c paramters.

-h

program help

-l

display the list of polyhedra

-d

dipyramid of n/d using -n n/d (infinite set)

-t

generate triangle only (polyhedra 1 thru 42 and option -d)

-v

verbose output (polyhedra 1 thru 42 and option -d)

-n <n/d>

polygon type in form n/d (d is optional) note: for option -d and compound cases c, g, h: n and d must be such that (2 < n/d < 6)

-a <ang>

angle

-k <k>

k

-c <type>

compound cases (a through f from Shephard's paper.)

• a - tetrahedron repeated k times, evenly spaced
  k=1 tetrahedron, k=2 Stella Octangula
  Uniform Compound UC23 when n/d is 2/1

• b - 5 or 10 tetrahedra
  k=1 icosahedral, k=2 with horizontal reflection
  Uniform Compounds UC05 and UC06

• c - 2 dipyramids of n/d using -a angle (default: calculated)
  relaxed dual of Uniform Compound Set UC20 and k=1

• d - 6 octahedra using -a angle (default: 22.5)
  At 45.0 degrees is 3 Octahedra dual of Uniform Compound Set UC07

• e - 6 or 12 triangular dipyramids
  k=1 octahedral, k=2 with horizontal reflection
  relaxed duals of Uniform Compounds UC30 & UC31

• f - 6 or 12 5/1 pentagonal or 5/2 star dipyramids
  
  • 5/1: k=1 icosahedral, k=2 with horizontal reflection
    relaxed duals of Uniform Compounds UC34 & UC35
  • 5/2: k=3 icosahedral, k=4 with horizontal reflection
    relaxed duals of Uniform Compounds UC36 & UC37

Additional Cases

• g - 2 tetrahedra using -a angle (default: 45.0)
  At 45.0 degrees is Uniform Compound UC04
  Uniform Compound UC23 when n/d is 2/1 and k=1

• h - 2 tetrahedra repeated k times, evenly spaced using -a angle (default: 1.0)
  Uniform Compound UC23 when n/d is 2/1 for any k

• i - 6 tetrahedra using -a angle (default: 45.0)
  Uniform Compound UC01. At 45.0 degrees is UC03

• j - 12 tetrahedra using -a angle (default: 30.0)
  Uniform Compound UC02. At 45.0 degress is UC03

• k - 2 dipyramids of n/d repeated k times, evenly spaced using -a angle (default: 1.0)
  relaxed dual of Uniform Compound Set UC20

• l - k dipyramids of n/d using -n n/d, evenly spaced
  relaxed dual of Uniform Compound Set UC21

• m - 10 or 20 triangular dipyramids
  k=1 icosahedral, k=2 with horizontal reflection
  relaxed duals of Uniform Compounds UC32 & UC33

• n - 6 10/3 star dipyramids
  relaxed dual of Uniform Compounds UC41

• o - 5 or 10 Augmented Tetrahedra T2(1)
  k=1 icosahedral, k=2 with horizontal reflection
  relaxed duals of Uniform Compounds UC55 & UC56

• p - 5 Augmented Octahedra O6(1)
  relaxed dual of Uniform Compounds UC57

• q - 5 Excavated Octahedra O6(2)
  relaxed dual of Uniform Compounds UC58

-o <file>

write output to file, if this option is not used the program writes to standard output

Examples

   iso_delta 20 | antiview

   iso_delta -c k -n 5/2 -k 3 -a 2 | antiview

Notes

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Next: conway - Conway Notation transformations