little 2-cubes operad E2 - IFLang 2

xholonWorkbook.xml

<?xml version="1.0" encoding="UTF-8"?>
<!--Xholon Workbook http://www.primordion.com/Xholon/gwt/ MIT License, Copyright (C) Ken Webb, Mon Jul 24 2017 16:04:40 GMT-0400 (EDT)-->
<XholonWorkbook>

<Notes><![CDATA[
Xholon
------
Title: little 2-cubes operad E2 - IFLang 2
Description: 
Url: http://www.primordion.com/Xholon/gwt/
InternalName: be199a92975f4d986a1752cf9bd2bb1d  based on 25a385f2ed39c7912c1179a7a45ea868
Keywords: 

My Notes
--------
July 24, 2017

Some alternatives:
- don't do the "smash" commands
- put the four psi building blocks in a separate area
 - the Avatar will move each of these to its correct destination
 - retain "the placements and aspect ratios of building blocks"
- use the destination IDs 1 2 3 4 5 6

References
----------
(1) http://math.mit.edu/~dspivak/informatics/Matriarch_ACS_BMSE.PDF
    Figure 2. Architecture of rectangle arrangements. Equivalent to an early
    example of an operad from mathematics called the little 2-cubes operad
    E2. In the terminology of this paper, the only building blocks in E2 are
    rectangles. A building instruction in E2 is an arrangement of nonoverlapping
    rectangles within a larger rectangle. In the composition, the placements and
    aspect ratios of building blocks are retained, but sizes can change. The
    operad E2 is the mathematical description of rectangle configurations as
    they are nested into hierarchies of arbitrary depth. The operad underlying
    Matriarch is far more complex than E2, with more diverse building blocks
    and building instructions.

]]></Notes> 

<_-.XholonClass>
  <PhysicalSystem/>
  
  <Rectangle/>
  
</_-.XholonClass>

<xholonClassDetails>
  <Avatar><Color>rgba(255,215,0,0.8)</Color></Avatar>
</xholonClassDetails>

<PhysicalSystem xmlns:xi="http://www.w3.org/2001/XInclude">
  <!-- this is the building instruction -->
  <BuildingInstruction>
    <Rectangle roleName="Ψ">
      <Rectangle roleName="1"/>
      <Rectangle roleName="2"/>
      <Rectangle roleName="3"/>
      <Rectangle roleName="4"/>
    </Rectangle>
  </BuildingInstruction>
  
  <BuildingBlocks>
    
    <Rectangle roleName="Ψ1">
      <Rectangle roleName="1"/>
    </Rectangle>
    
    <Rectangle roleName="Ψ2">
      <Rectangle roleName="1"/>
      <Rectangle roleName="2"/>
    </Rectangle>
    
    <Rectangle roleName="Ψ3">
      <Rectangle roleName="1"/>
      <Rectangle roleName="2"/>
    </Rectangle>
    
    <Rectangle roleName="Ψ4">
      <Rectangle roleName="1"/>
      <Rectangle roleName="2"/>
    </Rectangle>
    
  </BuildingBlocks>
  
  <Avatar><![CDATA[
script;
exit;
build "<Animate selection='#xhgraph'/>";
enter;
enter buildingBlocks;
take *rectangle;
prev;
enter;
enter 1;
drop;
exit;
exit;
next;
take *rectangle;
prev;
enter;
enter 2;
drop;
exit;
exit;
next;
take *rectangle;
prev;
enter;
enter 3;
drop;
exit;
exit;
next;
take *rectangle;
prev;
enter;
enter 4;
drop;
exit;
exit;
exit;
exit;
take animate;
exit;
  ]]></Avatar>
  
</PhysicalSystem>

<SvgClient><Attribute_String roleName="svgUri"><![CDATA[data:image/svg+xml,
<svg width="100" height="50" xmlns="http://www.w3.org/2000/svg">
  <g>
    <title>Rectangle</title>
    <rect id="PhysicalSystem/Rectangle" fill="#98FB98" height="50" width="50" x="25" y="0"/>
    <g>
      <title>sub Rectangle</title>
      <rect id="PhysicalSystem/Rectangle/Rectangle" fill="#6AB06A" height="50" width="10" x="80" y="0"/>
    </g>
  </g>
</svg>
]]></Attribute_String><Attribute_String roleName="setup">${MODELNAME_DEFAULT},${SVGURI_DEFAULT}</Attribute_String></SvgClient>

</XholonWorkbook>