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{{Use dmy dates|date=December 2023}}
{{Infobox software
| name = HyperFun
| logo =
| screenshot =
| caption =
| developer = Valery Adzhiev<br />Alexander Pasko<br />Anatoly Ossipov<br />Eric Fausett<br />Oleg Fryazinov, et al.
| latest_release_version =
| latest_release_date =
| latest_preview_version = 2.03
| latest_preview_date = {{Start date and age|df=yes|2009|06|06}}
| operating_system = [[Cross-platform]]
| platform =
| genre = [[Function representation|FRep]] [[3D modeling]] system
| license = [http://cgpl.org/ The Common Good Public License BETA 1.0]
| website = {{URL|http://HyperFun.org}}
}}

'''HyperFun''' (from Hyperdimensional Functions)<ref>{{Citation|last1 = Cartwright|first1 = R.|last2 = Adzhiev|first2 = V.|last3 = Pasko|first3 = A.A.|last4 = Goto|first4 = Y. | last5 = Kunii|first5 = T.L.|url = http://www.hyperfun.org/Fweb.html| title = Web-based shape modeling with HyperFun | journal = IEEE Computer Graphics and Applications | volume = 25 | issue = 2 | pages = 60–69 | publisher = IEEE Computer Society Press | year=2005 | doi = 10.1109/MCG.2005.49| pmid=15794150 |s2cid = 1062005}}</ref><ref>
{{Citation
| last = Chen
| first = J.X.
| title = Guide to Graphics Software Tools
| edition = 1st
| publisher = Springer Verlag
| place = New York
| isbn = 0-387-95049-4
| year = 2002
}}</ref><ref>
{{cite web |work =paulbourke.net | author = Paul Bourke | title = HyperFun: Language for F-rep Geometric Modeling | url = http://paulbourke.net/dataformats/hyperfun/ | accessdate = 2 August 2012}} [http://paulbourke.net/dataformats/ Data Formats: Alphabetical list of 3D API specifications and data formats]</ref> is a programming language<ref>{{cite web |work = HyperFun language specification, version 2.0 | title = HyperFun: Language for FRep Volume Modeling | url = http://hyperfun.org/wiki/doku.php?id=hyperfun:language | accessdate = 5 August 2012}}</ref> and software used to [[3D modeling|create]], visualize, and [[3D printing|fabricate]] volumetric [[3D computer graphics|3D]] and higher-dimensional models.

The team maintaining the HyperFun project is a freely associated group of researchers and students from different countries from all over the world (UK, Russia, France, Japan, Norway, USA, and others) called the Digital Materialization Group (digitalmaterial.org).

== Overview ==

HyperFun allows users to easily model objects of the quality found in reality and nature.{{cn|date=February 2025}} The system is based on a new mathematical framework for geometry, [[function representation]] (FRep), which provides a uniform method to model both surface geometry and internal composition simultaneously. It is also a compact and precise framework that can represent objects with unlimited complexity and properties. Compared to traditional modeling systems, HyperFun is able to digitally describe, create and modify models of any real or imagined object or environment.{{cn|date=February 2025}}

== Concepts ==

Technically, complex geometric objects in HyperFun are constructed from simple [[Geometric primitive|primitives]] on which various operations are performed.{{cn|date=February 2025}} Any object in three-dimensional space is defined by a function of point coordinates F(x,y,z). This continuous real function is positive inside the object, negative outside, and takes zero value on its surface. Similarly, a multidimensional object is defined by a function of several variables F(x1, x2, x3, ..., xn). For example, an object changing over time can be defined by F(x,y,z,t) with t representing time. Attributes such as color or material density are also defined by corresponding functions. This constitutes the new paradigm of [[Procedural modeling|procedural]] function-based volume modeling and rendering, where an object's shape and properties are locally evaluated on request using ''[[black box]]'' procedures.{{cn|date=February 2025}}

==Notes and references==
{{Reflist}}

==External links==
*[http://www.hyperfun.org/ HyperFun Project Web site]
*[http://www.digitalmaterial.org/ Digital Materialization Group]
*[http://ncca.bournemouth.ac.uk/research/?sub=57 Modelling Animation Games and Effects] research group at the [[National Centre for Computer Animation]]

[[Category:Geometric algorithms]]
[[Category:3D graphics software]]
[[Category:Domain-specific programming languages]]

HyperFun - Revision history

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