EN ISO 5458:2018

SLOVENSKI STANDARD
01-september-2018
1DGRPHãþD
SIST EN ISO 5458:2000
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND*36*HRPHWULMVNRWROHULUDQMH
9]RUHFLQNRPELQLUDQHJHRPHWULMVNHVSHFLILNDFLMH,62
Geometrical product specifications (GPS) - Geometrical tolerancing - Pattern and
combined geometrical specification (ISO 5458:2018)
Geometrische Produktspezifikation (GPS) - Form und Lagetolerierung - Positions- und
Mustertolerierung (ISO 5458:2018)
Spécification géométrique des produits (GPS) - Tolérancement géométrique -
Spécification géométrique de groupes d'éléments et spécification géométrique combinée
(ISO 5458:2018)
Ta slovenski standard je istoveten z: EN ISO 5458:2018
ICS:
01.100.01 7HKQLþQRULVDQMHQDVSORãQR Technical drawings in
general
17.040.10 Tolerance in ujemi Limits and fits
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND*36 Specification (GPS)
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EN ISO 5458
EUROPEAN STANDARD
NORME EUROPÉENNE
June 2018
EUROPÄISCHE NORM
ICS 17.040.10 Supersedes EN ISO 5458:1998
English Version
Geometrical product specifications (GPS) - Geometrical
tolerancing - Pattern and combined geometrical
specification (ISO 5458:2018)
Spécification géométrique des produits (GPS) - Geometrische Produktspezifikation (GPS) - Form und
Tolérancement géométrique - Spécification Lagetolerierung - Positions- und Mustertolerierung
géométrique de groupes d'éléments et spécification (ISO 5458:2018)
géométrique combinée (ISO 5458:2018)
This European Standard was approved by CEN on 25 February 2018.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.
This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2018 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 5458:2018 E
worldwide for CEN national Members.

Contents Page
European foreword . 3

European foreword
This document (EN ISO 5458:2018) has been prepared by Technical Committee ISO/TC 213
"Dimensional and geometrical product specifications and verification" in collaboration with Technical
Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the
secretariat of which is held by AFNOR.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by December 2018, and conflicting national standards
shall be withdrawn at the latest by December 2018.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN ISO 5458:1998.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia,
France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta,
Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and the United Kingdom.
Endorsement notice
The text of ISO 5458:2018 has been approved by CEN as EN ISO 5458:2018 without any modification.

INTERNATIONAL ISO
STANDARD 5458
Third edition
2018-05
Geometrical product specifications
(GPS) — Geometrical tolerancing —
Pattern and combined geometrical
specification
Spécification géométrique des produits (GPS) — Tolérancement
géométrique — Spécification géométrique de groupes d'éléments et
spécification géométrique combinée
Reference number
ISO 5458:2018(E)
©
ISO 2018
ISO 5458:2018(E)
© ISO 2018
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting
on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address
below or ISO’s member body in the country of the requester.
ISO copyright office
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Fax: +41 22 749 09 47
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2018 – All rights reserved

ISO 5458:2018(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and specification modifiers . 3
5 Principles . 3
5.1 General . 3
5.2 Concepts . 4
5.3 Rule A: for position specification . 4
5.4 Rules for pattern specification . 5
5.4.1 General. 5
5.4.2 Rule B: constraints . 5
5.4.3 Rule C: indication of a single indicator pattern specification . 6
5.4.4 Rule D: indication of a multiple indicator pattern specification . 8
5.4.5 Rule E: indication of multi-level single indicator pattern specification .12
5.5 Pattern characteristic .17
Annex A (informative) Former practice, important changes .18
Annex B (informative) Differences between ISO 5458:1998 and this document .20
Annex C (informative) Examples of pattern specifications .22
Annex D (normative) Relations and dimensions of graphical symbols .41
Annex E (informative) Concept diagram for pattern specification and relation with modifiers .42
Annex F (informative) Relation to the GPS matrix model .43
Bibliography .44
ISO 5458:2018(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www .iso .org/directives).
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www .iso .org/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation on the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see the following
URL: www .iso .org/iso/foreword .html.
This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
This third edition cancels and replaces the second edition (ISO 5458:1998), which has been technically
revised.
The main changes to the previous edition are as follows:
— exception from the independency principle removed according to ISO 8015;
— rules harmonized to align with ISO 1101;
— unstated rules in ISO 5458:1998 removed;
— concept of “pattern” to control all types of geometrical features introduced more generically, rather
than applying it only with position symbol.
iv © ISO 2018 – All rights reserved

ISO 5458:2018(E)
Introduction
This document is a geometrical product specification (GPS) standard and is to be regarded as a general
GPS standard (see ISO 14638). It influences chain links A, B and C for form, orientation and location.
The ISO/GPS matrix model given in ISO 14638 gives an overview of the ISO/GPS system of which this
document is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this document and
the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this
document, unless otherwise indicated.
For more detailed information of the relation of this document to the GPS matrix model, see Annex F.
ISO 1101 and other relevant documents, such as those dealing with the least and maximum material
requirement (ISO 2692) and the datum system (ISO 5459), should be taken into consideration when
using this document.
This document provides rules for the tolerancing of a tolerance zone pattern, i.e. a collection of tolerance
zones constrained to each other with or without reference to a datum system which does not lock all
degrees of freedom.
For the presentation of lettering (proportions and dimensions), see ISO 3098-2.
All figures in this document for the 2D drawing indications have been drawn in first-angle projection
with dimensions and tolerances in millimeters. It should be understood that third-angle projection
and other units of measurement could have been used equally well without prejudice to the principles
established.
Annexes A and B provide more information on the changes in practice and differences between this
document and ISO 1101 on one hand and ISO 5458:1998 on the other hand.
INTERNATIONAL STANDARD ISO 5458:2018(E)
Geometrical product specifications (GPS) — Geometrical
tolerancing — Pattern and combined geometrical
specification
IMPORTANT — The illustrations included in this document are intended to illustrate the text
and/or to provide examples of the related technical drawing specification; these illustrations
are not fully dimensioned and toleranced, showing only the relevant general principles.
In particular, many illustrations do not contain filter specifications. As a consequence, the
illustrations are not a representation of a complete workpiece, and are not of a quality that is
required for use in industry (in terms of full conformity with the standards prepared by ISO/
TC 10 and ISO/TC 213), and as such are not suitable for projection for teaching purposes.
1 Scope
This document establishes complementary rules to ISO 1101 to be applied to pattern specifications and
defines rules to combine individual specifications, for geometrical specifications e.g. using the symbols
POSITION, SYMMETRY, LINE PROFILE and SURFACE PROFILE, as well as STRAIGHTNESS (in the case
where the toleranced features are nominally coaxial) and FLATNESS (in the case where the toleranced
features are nominally coplanar) as listed in Annex C.
These rules apply when a set of tolerance zones are grouped together with location or orientation
constraints, through the use of the CZ, CZR or SIM modifiers.
This document does not cover the use of the pattern specifications when the least and maximum
material requirement is applied (see ISO 2692).
This document does not cover the establishment of common datum (see ISO 5459) based on pattern
features.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 1101, Geometrical product specifications (GPS) — Geometrical tolerancing — Tolerances of form,
orientation, location and run-out
ISO 8015, Geometrical product specifications (GPS) — Fundamentals — Concepts, principles and rules
ISO 17450-1, Geometrical product specifications (GPS) — General concepts — Part 1: Model for geometrical
specification and verification
ISO 17450-2, Geometrical product specifications (GPS) — General concepts — Part 2: Basic tenets,
specifications, operators, uncertainties and ambiguities
ISO 22432, Geometrical product specifications (GPS) — Features utilized in specification and verification
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 8015, ISO 1101, ISO 17450-1,
ISO 17450-2, ISO 22432 and the following apply.
ISO 5458:2018(E)
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https: //www .iso .org/obp
— IEC Electropedia: available at http: //www .electropedia .org/
3.1
pattern specification
combined requirement indicated by a set of geometrical specifications, and controlled by a tolerance
zone pattern
Note 1 to entry: The geometrical features controlled by a pattern specification can be a set of compound features,
united features or single features, which can be features of size (linear or angular).
Note 2 to entry: Annex C provides examples of pattern specifications in Table C.1.
Note 3 to entry: The set of pattern features controlled by a pattern specification does not define a united feature.
A united feature can be a pattern feature, i.e. one of the members of the toleranced features controlled by a
pattern specification.
3.2
pattern feature
geometrical feature which is a member of the set of features controlled by a pattern specification
3.3
tolerance zone pattern
combination of more than one tolerance zone, having, without priority between them, constraints of
orientation and location, or constraints of orientation
Note 1 to entry: A tolerance zone pattern is composed of several tolerance zones which can have different nominal
geometries.
Note 2 to entry: A tolerance zone pattern can be established without external constraint or with orientation
constraint and/or location constraint from a datum system.
3.4
pattern characteristic
geometrical characteristic controlled by a pattern specification
3.5
theoretical exact feature pattern
TEF pattern
combination of more than one TEF having, without priority between them, constraints of orientation
and location, or constraints of orientation, used to establish the pattern characteristic
Note 1 to entry: A TEF pattern is composed of several TEFs which can have different nominal geometries and
constrained between them, with respect to their relative location and/or orientation.
Note 2 to entry: A TEF pattern can be established without external constraint or with orientation constraint
and/or location constraint from a datum system.
3.6
single indicator pattern specification
pattern specification, controlled by one tolerance indicator specification
3.7
multiple indicator pattern specification
pattern specification, controlled by more than one tolerance indicator specification
3.8
multi-level single indicator pattern specification
single indicator pattern specification applied to more than one group of toleranced features
2 © ISO 2018 – All rights reserved

ISO 5458:2018(E)
3.9
internal constraint
location constraint and/or orientation constraint between the individual tolerance zones of the
tolerance zone pattern
3.10
external constraint
location constraint and/or orientation constraint between a tolerance zone or tolerance zone pattern
and a datum system
4 Symbols and specification modifiers
For the purposes of this document, the specification modifiers of Table 1 shall apply.
Rules for the presentation of graphical symbols shall be in accordance with Annex D.
Table 1 — Specification modifiers
Applied to Symbol Description Internal constraint Modifier defined in
Toleranced
UF United feature Not applicable ISO 1101
feature
SZ Separate zones None 5.1
Simultaneous require- Orientation and location
a,b
SIMi 5.4.4
ment No. i constraints
Tolerance zones
CZ Combined zone Orientation and location 5.4.3, 5.4.5 and ISO 1101
Combined zone rota-
CZR Orientation constraint only 5.4.3 and 5.4.5
tional only
a
An identification number i can be associated to the modifier SIM. In this case there is no space between SIM and i.
b
“SIM” in ISO 8785 is used for a family of “surface imperfection” parameters with indices (e.g. a, n, t, w, cd, ch, sh, n/A).
The modifier simultaneous requirement (SIM) as indicated in this document shall not be confused with the indication of a
surface imperfection parameter (e.g. SIM1 versus SIMt).
5 Principles
5.1 General
According to the feature principle (see ISO 8015:2011, 5.4), by default a geometrical specification
applies to one complete single feature as defined in ISO 22432. It is the designer’s responsibility to
select the features or portions of features to which a specification applies and either indicate that on a
2D drawing using appropriate symbology or define it in the CAD model.
According to the independency principle (see ISO 8015:2011, 5.5), by default a geometrical specification
that applies to more than one single feature applies to those features independently. The tolerance zones
defined by one tolerance indicator or by several tolerance indicators shall be considered independently
by default; this corresponds to the meaning of the modifier SZ. When the same geometrical specification
is applied to several toleranced features, for all geometrical specifications other than position
specifications, the indication of SZ modifier is redundant (see rule A for position specification, 5.3).
If it is required that the geometrical specification applies to the features simultaneously with some
constraint between the tolerance zones, it is the designer’s responsibility to either indicate this on a 2D
drawing or in the CAD model using appropriate pattern specifications.
In order to manage functional requirements for a set of features, they can be controlled simultaneously
by means of a pattern specification, using tolerance zone pattern modifiers CZ, CZR or SIMn.
The use of the concept of “simultaneous requirement” transforms a set of more than one geometrical
specification into a combined specification, i.e. a pattern specification.
ISO 5458:2018(E)
There are two ways to create a tolerance zone pattern, either by using a single indicator pattern
specification with the CZ or CZR modifiers [see Figure 1 a) and rules C and E] or by using a multiple
indicator pattern specification using SIM modifiers [see Figure 1 b) and rule D (5.4.4)].
a)  Single indicator pattern specification b)  Multiple indicator pattern specification
Figure 1 — Example of pattern specifications
5.2 Concepts
A pattern specification consists of both a set of more than one geometrical feature and a tolerance zone
pattern. The set of tolerance zones in the tolerance zone pattern have internal constraints, which are
defined by implicit or explicit TEDs.
If necessary, external constraints to a tolerance zone pattern can be defined by referencing a datum
system, as defined in ISO 5459. The values of external constraints are defined by implicit or explicit TEDs.
The main specification elements of a pattern specification are:
— the identification of a single indicator pattern specification or a multiple indicator pattern
specification;
— the internal constraint (in orientation and/or in location) between the individual tolerance zones of
the tolerance zone pattern defined by TEDs;
— the tolerance zone pattern defined as a collection of individual tolerance zones;
— if applicable, external constraints (in orientation and/or in location) of the tolerance zone pattern
defined by TEDs from a datum system, see ISO 5459.
There is no functional difference between using n identical specifications or a pattern specification
(with n members) when these specifications refer to a datum system which locks all degrees of freedom
of the related tolerance zones. However, there is a difference from a characteristic point of view: there
is only one pattern characteristic defined for a pattern specification, whereas there are n geometrical
characteristics defined each one for the n individual specifications.
There is a functional difference between using n identical specifications or a pattern specification (with
n members) when the pattern specification refers to a datum system which does not lock all degrees of
freedom of the related tolerance zones, or when the pattern specification does not refer to a datum system.
The rules, applied for pattern specification and their repetitions, are given in 5.3 and 5.4. A concept
diagram in Annex E illustrates these rules. Examples with their meanings are given in Annex C.
5.3 Rule A: for position specification
When a position specification is applied to several geometrical features and the tolerance zones have at
least one unlocked non-redundant degree of freedom, either the SZ or CZ or CZR modifier shall always
be indicated in the tolerance section, see Figure 2 and for former practice, see Annex A.
4 © ISO 2018 – All rights reserved

ISO 5458:2018(E)
Using the SZ modifier to a position specification without datum section makes the specification
meaningless.
NOTE This rule is in line with the independency principle stated in ISO 8015. However, ISO 5458:1998 was
in conflict with the independency principle, since a pattern specification without the CZ modifier implied that
the tolerance zones for the repeated specifications were related with internal constraints, and thus dependent
on each other (see Annex A and Annex B). Rule A (5.3), which includes the exception for position specification,
eliminates this conflict.
a)  Pattern specification b)  Not a pattern specification: Two c)  Pattern specification
without a datum independent specifications with a datum
with a datum
Figure 2 — Example of geometrical specifications which are or are not pattern specification
5.4 Rules for pattern specification
5.4.1 General
To create a single indicator pattern specification, a geometrical specification shall be applied to a set
of more than one geometrical feature simultaneously. Internal constraints to define the tolerance zone
pattern between the individual tolerance zones shall be defined and, if necessary, external constraints
from a datum or datum system shall also be defined.
To create a multiple indicator pattern specification, a set of more than one separate geometrical
specification shall be applied to a set of more than one geometrical feature simultaneously. Internal
constraints to define the tolerance zone pattern between the individual tolerance zones shall be defined
and, if necessary, external constraints from a datum or datum system shall also be defined.
It is possible to indicate a repetition of an identical geometrical specification, as described in ISO 1101,
to control several geometrical features.
5.4.2 Rule B: constraints
A pattern specification defines internal constraints.
A pattern specification can define external constraints when the geometrical specification includes a
datum or datum system.
The internal constraints consist of the location constraints and/or the orientation constraints linking
the individual tolerance zones composing a tolerance zone pattern.
The external constraints define the location constraints and/or the orientation constraints linking the
tolerance zone pattern to a datum or datum system.
These internal or externals constraints are defined by TEDs, which can be explicit or implicit.
The following TEDs are implicit:
— 0 mm, when drawing lines appear straight and/or aligned and there is no explicit indication to the
contrary, see Figure 3, key a1 and a5;
— 0°, 90°, 180°, 270°, when drawing lines appear aligned (0°/180°) or perpendicular (90°/270°) and
there is no explicit indication to the contrary, see Figure 3, key a2;
ISO 5458:2018(E)
— equally disposed angle, 360°/n, where n is the number of features in a pattern shown equally
disposed on a circle and there is no explicit indication to the contrary, see Figure 3, key a3.
— angular alignment between coaxial patterns (0° or 180° equivalent), see Figure 3, key a4.
NOTE To facilitate readability, it can be useful to indicate explicitly the TEDs, which could be considered as
implicit.
Figure 3 illustrates different implicit and explicit TEDs.
Without annotation, the explicit TEDs are indicated directly on the drawing with a dimension value
which is framed.
If the values of TEDs are extracted from the CAD model, then this shall be indicated near the title block
(as given in ISO 1101). Figure 3 is intended to illustrate and explain the implicit and explicit TEDs.
Key
a1 implicit linear TED of 0 mm
a2 implicit angular TED of 90° or 180° or 270°
a3 implicit equally disposed angular TED
a4 implicit symmetrically disposed angular TED
a5 implicit coaxially disposed linear TED of 0 mm
b explicit TED
Figure 3 — Implicit or explicit TEDs
5.4.3 Rule C: indication of a single indicator pattern specification
To create a single indicator pattern specification (see Figure 4), the modifier CZ or CZR shall appear in
a tolerance indicator which is applied to more than one geometrical feature. The modifier (CZ or CZR)
shall be shown in the tolerance section following the tolerance value (see ISO 1101).
When a single indicator pattern specification is defined, each individual tolerance zone in the tolerance
zone pattern has the same size and the same shape.
To create an additional level of pattern specification, see rule E (5.4.5).
6 © ISO 2018 – All rights reserved

ISO 5458:2018(E)
a)  Single indicator pattern specification with- b)  Single indicator pattern specification
out a datum with a datum
Figure 4 — Example of single indicator pattern specifications
The modifier CZ indicates that a tolerance zone pattern is defined with internal orientation and location
constraints between the individual tolerance zones.
The modifier CZR indicates that a tolerance zone pattern is defined with internal orientation constraints
between the individual tolerance zones.
The internal constraints (orientation constraints and location constraints) shall be defined respectively
by angular TEDs and linear TEDs (implicit or explicit) (see rule B, 5.4.2).
NOTE The modifiers “CZ” or “CZR” do not constrain the sizes of the features of size.
Table 2 provides examples which illustrate the internal constraints introduced by the CZ or CZR
modifiers and the external constraints introduced by the datum or datum system.
ISO 5458:2018(E)
Table 2 — Example of internal constraints with CZ or CZR and external constraints with datum
or datum system
Dimensions considered as TEDs for
External constraints
Internal con-
To locate or orientate tol-
Drawing indication Tolerance indicator straints in the tol-
erance zone or tolerance
erance zone pattern
zone pattern
None
None
(no pattern specifi-
(no datum or datum system)
cation)
None
Introduced by CZR
TEDs according to CAD model 123
None
rev c
Introduced by the datum A
Introduced by CZ in link with symbol charac-
teristic
5.4.4 Rule D: indication of a multiple indicator pattern specification
To create one multiple indicator pattern specification (see Figure 1), the modifier SIM, optionally
followed by an identification number without a space, shall be indicated in the adjacent indication area
of each related geometrical specification (see Figure 5).
The use of the SIM modifier (simultaneous requirement) transforms a set of more than one geometrical
specification into a combined specification (pattern specification). The tolerance zones for all the
specifications are locked together with location and orientation constraints (see Figures 6 and 7).
The specifications locked together with the SIM indications may or may not have
— the same tolerance value, and
— the same shape of tolerance zones (see Figure 7).
In the case of a multiple pattern specification defined with the SIM modifier:
— the individual geometrical specification shall not include the CZR modifier;
8 © ISO 2018 – All rights reserved

ISO 5458:2018(E)
— the individual geometrical specification can include the CZ modifier, but this is superfluous and may
be omitted.
NOTE Two tolerance zone patterns, to be related and rotationally aligned, both belong to the same SIM group.
a) Example 1 b) Example 2
Figure 5 — Examples of indication of simultaneous requirements from two separate
specifications
In Figure 5 a), the SIM modifier adjacent to the two tolerance indicators means that the two tolerance
zone patterns are combined into a single requirement. All five tolerance zones are locked together by
location and orientation constraints.
In Figure 5 b), the SIM1 modifier creates one simultaneous requirement, and the SIM2 modifier creates
a separate simultaneous requirement. The SIM1 and SIM2 requirements are unrelated to each other.
In Figure 6, there are two simultaneous requirements defined by the indication of SIM1 and SIM2. Each
simultaneous requirement shall be considered individually.
— SIM1: the two specifications linked together with the SIM1 indication each use a CZ modifier to
create a tolerance zone pattern. One of them is a pattern of three Ø0,1 tolerance zones for the three
extracted median lines of the Ø20 holes, and the other is a tolerance zone pattern of three Ø0,2
tolerance zones for the three extracted median lines of the Ø22 holes. The SIM1 modifier locks
the two tolerance zone patterns together into a combined tolerance zone pattern of six (3x + 3x)
cylindrical tolerance zones. All six tolerance zones are constrained with the following internal
constraint and external constraints.
Internal constraints:
— the axes of the individual cylindrical tolerance zones are on pitch cylinder of R40 and R35,
respectively;
— the axes of the individual cylindrical tolerance zones are parallel in each tolerance zone pattern,
implicit TEDs of 0°;
— the axes of the individual cylindrical tolerance zones are equally disposed on the pitch cylinders
implicit TED of 120° in each tolerance zone pattern;
— the axes of the two pitch cylinders are parallel, implicit TED 0°;
— distance of 0 mm between the axes of the two pitch cylinders, implicit TED of 0 mm;
— the two tolerance zone patterns are rotationally aligned, implicit TED of 0°.
External constraints:
ISO 5458:2018(E)
— the two tolerance zone patterns are both located by the common datum axis, A-B, by the implied
TED of 0 mm between the axis of each pitch cylinder and the datum axis.
— SIM2: the two specifications linked together with the SIM2 indication each use a CZ modifier to
create a tolerance zone pattern. The tolerance zone pattern is composed of two tolerance zone
patterns combined:
— the first is a set of three tolerance zones consisting of two parallel planes 0,1 mm apart for the
three extracted median surfaces of the 35 mm slots;
— the second is a set of three tolerance zones consisting of two parallel planes 0,2 mm apart for
the three extracted median surfaces of the 34 mm slots.
The SIM2 modifier locks the two tolerance zone patterns together into a combined tolerance zone
pattern of six (3x + 3x) tolerance zones. All six tolerance zones are constrained with the following
internal constraints and external constraints.
Internal constraints:
— the three median planes of the individual tolerance zones have a straight line, implicit TED 0 mm,
as common intersection;
— the three median planes of the individual tolerance zones are equally angularly disposed around
the common intersecting straight line, implicit spacing of 120° (in each tolerance zone pattern);
— the common intersecting straight line of each tolerance zone pattern are parallel, implicit TED 0°;
— distance of 0 mm between the common intersecting straight lines of each tolerance zone,
implicit TED of 0 mm;
— the two tolerance zone patterns are rotationally aligned, implicit TED of 0°.
External constraints:
— the two tolerance zone patterns are both located by the common datum axis A-B by the implied
TEDs of 0mm and 0° between the common intersecting straight lines (of each tolerance zone
pattern) and the datum axis.
— The six tolerance zones constituting the SIM2 requirement are independent of, and unrelated to, the
six tolerance zones constituting the SIM1 requirement.
If the four pattern specifications on Figure 6 were indicated without any SIM modifiers, the four
tolerance zone patterns would be mutually unconstrained. Each of the four pattern specifications shall
be considered independently of the others. All four tolerance zone patterns are constrained externally
to datum A-B, but are rotationally independent from each other, i.e. without consideration of implicit
angular TEDs between the four tolerance zone patterns.
10 © ISO 2018 – All rights reserved

ISO 5458:2018(E)
Figure 6 — Example of two separate simultaneous requirements applied to different pattern
specifications
Figure 7 illustrates a multiple indicator pattern specification, and its interpretation, where the shapes
of tolerances zones constituting the tolerance zone pattern are different.
The symmetry specification defines two tolerance zones consisting of two parallel planes, and the
position specification defines two cylindrical tolerance zones. All four tolerance zones are locked
together by the SIM2 indication. The four tolerance zones have internal constraints (location and
orientation) to each other, and external constraints to datum A (location and orientation).
The use of tolerance zones with different shapes or different tolerance values in one tolerance zone
pattern can create difficulties in verification.
ISO 5458:2018(E)
a)  Drawing indication b)  Illustration of the tolerance zone pattern
Key
a datum
b cylindrical tolerance zone
c two opposite planes tolerance zone
d external constraint
e internal constraint
Figure 7 — Example of a multiple indicator pattern specification composed of tolerance zones
with different shapes
5.4.5 Rule E: indication of multi-level single indicator pattern specification
5.4.5.1 General
The symbols give in Table 3 are used to describe a multi-level single indicator pattern specification.
Table 3 — Symbols
Symbol Description
k Number of identical groups
n Number of identical features
To create a multi-level single indicator pattern specification, the following shall be indicated:
a) a set of k groups, each consisting of n single features using:
1) n leader lines connecting the tolerance indicator to the n geometrical features and kx indicated
in the adjacent indication area, or
12 © ISO 2018 – All rights reserved

ISO 5458:2018(E)
2) an “all around” symbol (covering n features) defining one group and kx indicated in the adjacent
indication area, or
3) kx indicated in front of nx in the adjacent indication area with a slash as separator and a space
on both sides of the slash. The kx and nx shall be followed by a space and the identifier letter or
symbol to avoid ambiguities (e.g. 4x / 2x or 4x A / 2x B). The identification letter can be used
to establish a link with individual integral features, or with a group of integral features. When
used to identify a group of features, the group may be indicated on a drawing by surrounding
the features with a long-dashed double-dotted narrow line (line type 05.1 according to
ISO 128-24) (see Figure 9);
4) If the integral feature related to the toleranced feature is a feature of size, then the number
of groups shall be indicated followed by a space and the group identifier letter if applicable,
followed by a space, a slash and a space, followed by the number of features and a space and the
nominal size and its specification (general or individual), followed by a space and the feature
identifier letter if applicable (e.g. 3x B / 2x 10±0,05 A or 3x / 2x 10±0,05 or 3x / 2x 10).
b) in the tolerance section, a sequence of CZ and/or SZ and/or CZR:
1) if all the elements of the sequence are SZ, then
i) this specification does not define a pattern specification;
ii) the specification consists of a set of kx n independent tolerance zones, each applying to one
geometrical feature [see Figure 8 a)], and defining kxn geometrical characteristics;
2) if the first element of the sequence is SZ and the following elements are CZ, then the CZ
indication(s) defines each of the tolerance zone patterns, while the SZ indicates that the
tolerance zone patterns are separate and independent of each other:
i) there are k independent tolerance zone patterns (SZ), composed of n individual tolerance
zones locked together with orientation and location constraints (CZ);
ii) the specification consists of a set of k independent combined zones (tolerance zone
pattern), each applied to a set of n geometrical features [see Figure 8 b)], defining k pattern
characteristics;
3) if the first element of the sequence is CZR and the following elements are all CZ, then the CZ
indication(s) defines each of the tolerance zone patterns, while the CZR indicates that the
tolerance zone patterns are locked together with orientation constraints only:
i) there is one tolerance zone pattern, consisting of k tolerance zone patterns;
ii) the specification consists of one combined zone with orientation constraints only between
the k tolerance zone patterns [see Figure 8 c)] and defining one pattern characteristic;
4) if the first element of the sequence is SZ, followed by CZR, then the CZR indication defines
each of the tolerance zone patterns with internal constraints of orientation only, while the SZ
indicates that the tolerance zone patterns are separate and independent of each other:
i) there are k toleran
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