EXHIBIT 32.1

                CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,

                             AS ADOPTED PURSUANT TO

                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

      In connection with the Annual Report on Form 10-K of Applix, Inc. (the
"Company") for the fiscal year ended December 31, 2004 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), the
undersigned, David C. Mahoney, President and Chief Executive Officer of the
Company, hereby certifies, pursuant to 18 U.S.C. Section 1350, that:

      (1) the Report fully complies with the requirements of Section 13(a) or
15(d) of the Securities Exchange Act of 1934, as amended; and

      (2) the information contained in the Report fairly presents, in all
material respects, the financial condition and results of operations of the
Company.

                                    /s/ David C. Mahoney
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Date: March 31, 2005                David C. Mahoney
                                    President and Chief Executive Officer