little 2-cubes operad E2 - IFLang 5

xholonWorkbook.xml

<?xml version="1.0" encoding="UTF-8"?>
<!--Xholon Workbook http://www.primordion.com/Xholon/gwt/ MIT License, Copyright (C) Ken Webb, Wed Jul 26 2017 16:03:07 GMT-0400 (EDT)-->
<XholonWorkbook>

<Notes><![CDATA[
Xholon
------
Title: little 2-cubes operad E2 - IFLang 5
Description: 
Url: http://www.primordion.com/Xholon/gwt/
InternalName: d5c2b8f98a8f51213f07c03e5ac3ba53  based on 80b443bc08d84a2ae4ebe83405a48e3f
Keywords: 

My Notes
--------
July 26, 2017

Use the IFLang smash command to remove the inner rectangles in the BuildingInstruction, and the outer rectangles in the BuildingBlocks.

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;
smash *rectangle;
exit;
smash 1;
exit;
next;
take *rectangle;
prev;
enter;
enter 2;
drop;
smash *rectangle;
exit;
smash 2;
exit;
next;
take *rectangle;
prev;
enter;
enter 3;
drop;
smash *rectangle;
exit;
smash 3;
exit;
next;
take *rectangle;
prev;
enter;
enter 4;
drop;
smash *rectangle;
exit;
smash 4;
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>Building Instruction</title>
    <rect id="PhysicalSystem/BuildingInstruction" fill="#98FB98" height="50" width="50" x="25" y="0"/>
    <g>
      <title>Building Blocks</title>
      <rect id="PhysicalSystem/BuildingBlocks" 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>