Holotomial
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5.1

 - Foreword

 

 

From the previous sections, we earned the foundations to handle a system by the double means of a permanently balanced double-entry accounting system and its geometrical equivalence.

 

The permanent closure of the accounting system ensures that any system component - say the  objects and actors but also the actions and the time-periods - is always on a unique spherical closed space.

This property enables to equivalently apprehend a system via double-entry balanced accounting and geometrical projections and perspectives.

As numerical treatments are not always directly accessible - i.e. in intangible domains or for cost reasons - one can utilize the visual equivalence to effectively palliate at numerical defections.

This section displays how the exactness of geometry allows to generate users experiences - say visual interfaces - that accurately translate experiential knowledge in accountable spaces which make sense to numerical treatment and human being.

 

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Parallelism : Accounting - Geometry - Management of intangibles


Accounting - Geometry

The previous sections have widely demonstrated the rational links that we can build between visual representations and double-entry accounting - and between visual representations and a system within its environment.

As illustrated in the figure here below, this section will now  make the all set rational by completing it with the exactness of geometry.

In turn, dealing with "geometry and visual" or with "double-entry and accounting" will become equivalent.

The figure illustrates the advantage that geometry provides: when you master it, you are not obliged to be an expert in accounting and system dynamics to comply with those two domains.

This actually means that the value of the previous sections is only at demonstrating that links exist between a geometrical construction and the practices in usages in business management - say double-entry accounting - and system dynamics - say classical and statistical mechanics.

This means - at the reverse to what many people think including us at page 1.5 - that the  empowerments recognized in some visual expressions are not "mysterious magics" but are rational translations between geometrical properties and different informational, analytical and managerial systems.

So the value of this work mostly lays in this section 5 where rational methods are demonstrated to operationally handle the geometrical properties which ground the relationships between the different systems.

Otherwise said in a sharp short cut, we needed the previous sections to make this one understandable, but at operational practice only this one section might be required.


Management of intangibles

Nowadays the numerical base of the holotomial analysis remains very simple and accessible - say that the base remains at combining simple T-accounts.

However the experience shows that describing an accurate accounting system - and inferring numerical values - may still remain a too expensive task with regard to the value of some situations and - worse - the experience shows also that - in many cases - deciding for an accounting "taxonomy" from only a digital analysis may never satisfies realistically the stakeholders of a case.

This might be due to the taxonomy itself that is unable to reflect the large amount of aspects owned by the intangible world but also to the fact that a digital format requires the computation - say creation and maintenance - of numerical data and that this task can rarely be completed in a comprehensive manner by all the stakeholders of a case when the stakeholders number is not limited to a few.

At the opposite, a design - say like a map or a perspective - may embed a lot of implicit knowledge and can more easily accommodate a consensus with a fair diversity of stakeholders - even if they do not own similar motivations and knowledge backgrounds for the agreement they can afford at the visual representation.

The point here is that when a visual representation is made on the base of a rational geometrical logic which respects the holotomial analysis principles, the visual representation will be equivalent to a double-entry accounting system - so that from the holotomial design experience one can possibly infer accounting systems and sets of associated values that generate the digital from the visual.

The visual representation may so constitute a more accessible means of generating numerical values into a digital equivalent accounting but it may also provide with a more accurate analysis - i.e. when the implicit knowledge is significant - by its ability to better encompass the intangible aspects of a case.