EXHIBIT 3(i)1

                            CERTIFICATE OF AMENDMENT

                                       OF

                     RESTATED CERTIFICATE OF INCORPORATION

                                       OF

                                IFX CORPORATION

             Pursuant to Section 242 of the General Corporation Law
                            of the State of Delaware

It is hereby certified that:

     1.  The name of the corporation is IFX Corporation (the "Corporation").

     2.  The Restated Certificate of Incorporation of the Corporation (the
"Certificate of Incorporation") was filed on November 9, 1999 and supplemented
by a Certificate of Designation, Numbers, Powers, Preferences and Relative,
Participating, Optional and Other Rights of Series A Preferred Stock (the
"Certificate of Designation") which was filed on June 15, 2000 (the Certificate
of Incorporation as so supplemented, the "Supplemented Certificate of
Incorporation").

     3.  The amendments to the Supplemented Certificate of Incorporation
effected bythis Certificate of Amendment are as follows:

          (a) Sectio n 4(b)(B) of the Certificate of Designation as it now
exists is deleted and a new Section 4(b)(B), reading in its entirety as follows,
is inserted in lieu thereof:

               (B) authorize or permit the Corporation or any subsidiary of the
          Corporation to issue any capital stock or any options, warrants or
          other rights exchangeable or exercisable therefor, other than (i)
          shares of Series A Convertible Preferred Stock pursuant to the
          Preferred Stock Purchase Agreement, (ii) Common Stock upon conversion
          of the Series A Convertible Preferred Stock or upon the exercise of
          stock options to purchase up to 3,960,000 shares of Common Stock
          issuable pursuant to options to purchase Common Stock under the Stock
          Option Plan provided, however, that with respect to 1,500,000 shares
          of Common Stock issuable pursuant to options to purchase Common Stock
          under the Stock Option Plan which the Board approved on October 10,
          2000, 1,225,000 shares of such stock issuable pursuant to options
          shall be granted at a price per share of not less than $12.31, 125,000
          shares of such stock issuable pursuant to options shall be granted at
          a price per share of $10.00 to Jack Roepers and up to an additional
          150,000 shares of such stock issuable pursuant


          to options may be granted at a price per share of not less than $8.75
          (with all such prices per share subject to adjustment for stock
          splits, combinations, stock dividends and the like), (iii) securities
          issued as consideration for any acquisition approved by a majority of
          the Board of Directors (including the affirmative vote of the Series A
          Preferred Directors), including the issuance of up to 480,000 shares
          of Common Stock as final payment for finder's fees to Redescape LLC
          and its employees, consultants, affiliates or designees (including
          employees of certain subsidiaries of the Corporation), (iv) up to $15
          million of Common Stock, issued as consideration for any acquisition
          approved by a majority of the Board of Directors (without the
          affirmative vote of the Series A Preferred Directors), provided such
          Common Stock is valued at no less than the greater of (1) the Stated
          Value (as adjusted for stock splits, combinations, stock dividends and
          the like) and (2) the average of the closing price for the Common
          Stock for the 30 days prior to the issuance, (v) a warrant to purchase
          210,000 shares of Common Stock to Spinway, Inc. (the "Spinway
          Warrant"), (vi) 210,000 shares of Common Stock upon exercise of the
          Spinway Warrant, or (vii) shares of Common Stock in exchange for
          shares of common stock of Tutopia.com, Inc. ("Tutopia") upon a change-
          in-control of the Corporation pursuant to the Tutopia Stockholders
          Agreement dated as of April 24, 2000;

          (b) The definition of "Permitted Issuances" in Section 6(a) of the
Certificate of Designation as it now exists is deleted and a new definition of
"Permitted Issuances", reading in its entirety as follows, is inserted in lieu
thereof:

               "Permitted Issuances" shall mean (i) the issuance of up to
          3,960,000 shares of Common Stock issuable pursuant to options to
          purchase Common Stock under the Stock Option Plan provided, however,
          that with respect to 1,500,000 shares of Common Stock issuable
          pursuant to options to purchase Common Stock under the Stock Option
          Plan which the Board approved on October 10, 2000, 1,225,000 shares of
          such stock issuable pursuant to options shall be granted at a price
          per share of not less than $12.31, 125,000 shares of such stock
          issuable pursuant to options shall be granted at a price per share of
          $10.00 to Jack Roepers and up to an additional 150,000 shares of such
          stock issuable pursuant to options may be granted at a price per share
          of not less than $8.75 (with all such prices per share subject to
          adjustment for stock splits, combinations, stock dividends and the
          like), (ii) shares of Common Stock issued or issuable in connection
          with a Qualified Public Offering, (iii) shares of Common Stock issued
          upon conversion of Series A Convertible Preferred Stock, (iv)
          securities issued as consideration for any acquisition approved by a
          majority of the Board of Directors (including the affirmative vote of
          the Series A

                                       2


          Preferred Director), including the issuance of up to 480,000 shares of
          Common Stock as final payment for finder's fees to Redescape LLC and
          its employees, consultants, affiliates or designees (including
          employees of certain subsidiaries of the Corporation), (v) the
          issuance of up to 820,471 shares of Series A Convertible Preferred
          Stock at the Subsequent Closing (as defined in the Preferred Stock
          Purchase Agreement), (vi) the issuance of an aggregate of up to
          100,000 additional shares of Common Stock (as adjusted for stock
          splits, combinations, stock dividends and the like) in transactions
          approved by a majority of the Board of Directors, (vii) the issuance
          of an aggregate of up to another 100,000 additional shares of Common
          Stock (as adjusted for stock splits, combinations, stock dividends and
          the like) in transactions approved by a majority of the Board of
          Directors (including the affirmative vote of the Series A Preferred
          Director), (ix) the Spinway Warrant, (x) 210,000 shares of Common
          Stock upon exercise of the Spinway Warrant, and (xi) such other
          issuances as shall be approved in advance by the affirmative vote or
          written consent of the holders of a majority of the shares of Series A
          Convertible Preferred Stock, voting as a single class in accordance
          with Section 4(d).

          (c) Section 9(b) of the Certificate of Designation as it now exists is
deleted and a new Section 9(b), reading in its entirety as follows, is inserted
in lieu thereof:

               (b) "New Securities" shall mean (a) any capital stock of the
          Corporation, rights, options or warrants to purchase capital stock and
          securities of any type whatsoever that are, or may become convertible
          into or exchangeable for capital stock and (b) so-called "high yield"
          bonds, debt instruments with equity like features or other similar
          debt instruments, which bear a rating lower than investment-grade or
          are unrated, issued by the Corporation; provided, however, that the
          term "New Securities" does not include (i) up to up to 3,960,000
          shares of Common Stock issuable pursuant to options to purchase Common
          Stock under the Stock Option Plan provided, however, that with respect
          to 1,500,000 shares of Common Stock issuable pursuant to options to
          purchase Common Stock under the Stock Option Plan which the Board
          approved on October 10, 2000, 1,225,000 shares of such stock issuable
          pursuant to options shall be granted at a price per share of not less
          than $12.31, 125,000 shares of such stock issuable pursuant to
          options shall be granted at a price per share of $10.00 to Jack
          Roepers and up to an additional 150,000 shares of such stock issuable
          pursuant to options may be granted at a price per share of not less
          than $8.75 (with all such prices per share subject to adjustment for
          stock splits, combinations, stock dividends and the like), (ii) shares
          of Common Stock issued or issuable in

                                       3


          connection with a Qualified Public Offering, (iii) shares of Common
          Stock issued upon conversion of Series A Convertible Preferred Stock,
          (iv) securities issued as consideration for any acquisition approved
          by a majority of the Board of Directors (including the affirmative
          vote of the Series A Preferred Directors), including the issuance of
          up to 480,000 shares of Common Stock as final payment for finder's
          fees to Redescape LLC and its employees, consultants, affiliates or
          designees (including employees of certain subsidiaries of the
          Corporation), (v) the issuance of up to 820,471 shares of Series A
          Convertible Preferred Stock at the Subsequent Closing (as defined in
          the Preferred Stock Purchase Agreement), (vi) the Spinway Warrant,
          (vii) 210,000 shares of Common Stock upon exercise of the Spinway
          Warrant, (viii) shares of Common Stock in exchange for shares of
          common stock of Tutopia upon a change-in-control of the Corporation
          pursuant to the Tutopia Stockholders Agreement dated as of April 24,
          2000 or (ix) shares of Common Stock issued for any other reason after
          first receiving the affirmative vote or written consent of the holders
          of a majority of the shares of Series A Convertible Preferred Stock,
          voting as a single class in accordance with Section 4(d).

     4.  The aforesaid Certificate of Amendment was duly adopted in accordance
with the provisions of Section 242 of the General Corporation Law of the State
of Delaware.

          IN WITNESS WHEREOF, the Corporation has caused this Certificate of
Amendment to be executed by its duly authorized Assistant Secretary this 7th day
of November, 2000.

                                    IFX CORPORATION, a Delaware
                                    corporation

                                    By:  /s/ Scott J. Bakal
                                         ------------------
                                    Name: Scott J. Bakal
                                    Title: Assistant Secretary

                                       4