**Exhibit10.12**

 

|  | SPHERIX January  13, 2011 Gilbert V. Levin M. Karen Levin 3170 S. Ocean Boulevard #602S Palm  Beach, FL 33480 Dear Gil and Karen: You and Spherix executed a June 24, 2008  letter evidencing our agreements concerning your retirements from Spherix  (the “2008 Letter”). A copy of the 2008 Letter is attached. As set forth in  paragraphs 2, 5, 6, 7, 8, 9 and 10 of the 2008 Letter, Spherix agreed to make  continuing payments to you and to provide continuing benefits to you during  your lifetimes (the “Continuing Obligations”). Spherix has determined that it  is in its interest to quantify and liquidate the Continuing Obligations.  Thus, we have agreed that Spherix will terminate and extinguish the  Continuing Obligations by a lump sum payment to you of $450,000 (the  “Payment”) to be made no later than February 10, 2011. Upon such Payment, the  Continuing Obligations will automatically and without further action expire  and you will then have rights solely as current (Gil) and former (Karen)  members of the Board of Directors, including all rights for indemnification  and access to Spherix’ D&O insurance policy. We have further agreed that  Gil will resign from the Board of Directors. By your execution of this  letter, you tender your resignation effective immediately. If you concur with  the foregoing, please sign the enclosed copy of this letter and return it to  me. Sincerely, Aris Melissaratos, Chair of Compensation Committee AGREED:  Gilbert V. Levin M. Karen Levin 6430 Rockledge Drive, #503 Bethesda, MD 20817  Tel.: (301) 897-2540 Fax: (301) 897-2567 www.spherix.com |
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|  | SPHERIX June  24, 2008 Gilbert V. Levin M. Karen Levin 3180 Harness Creek Road Annapolis,  Maryland 21401 Dear Gil and Karen: This letter will evidence the agreements  we discussed previously. We have agreed to confirm and clarify our prior  agreements set forth in the G.V. Levin Exit Agreement (March 2004) and the  Exit Agreement For M. Karen Levin (November 2005). Accordingly, the following  provisions supersede the prior exit agreements: 1. Karen has retired as an  employee of Spherix as of January 4, 2006. Gil will retire as an employee of  Spherix effective as of August 14, 2008. 2. Each of Gil and Karen will be  provided lifetime payments of $12,500 each quarter following their respective  retirements. 3. Each of Gil and Karen have Consulting Agreements with Spherix  which will remain in full force and effect. 4. All prior stock options and  awards will remain unchanged. 5. Through August 13, 2011, Gil and Karen will  continue to be provided suitable office space at Spherix’s headquarters  office upon providing prior notice of the need to use such space. 6. Through  August 13, 2011, Gil and Karen will be provided appropriate secretarial  assistance upon providing prior notice of the need for such assistance. 7.  Gil and Karen have been provided cell phones and computers for their home  offices, and Spherix will continue to supply these and support them until  August 13, 2011. 8. Spherix will make lump sum service award payments of  $15,000 to each of Gil and Karen upon Gil’s retirement in August 2008. 9.  Spherix will defend Gil and Karen from all lawsuits filed resulting from  legitimate actions taken by him or her on behalf of Spherix. 10. Spherix  confirms its Resolution of February 19, 1998 concerning long-term care  insurance and health insurance for Gil and Karen. 6430 Rockledge Drive, #503  Westmoreland Building Bethesda, MD 20817 Tel.: (301) 897-2540 Fax: (301)  897-2567 www.spherix.com |
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|  | Gilbert V.  Levin M. Karen Levin Page 2 June 24, 2008 11. Gil has been given full title  to all Spherix files on the Viking Mission to Mars, the files on the life  detection methods he developed, and title to the related developmental instruments.  12. Gil has been granted title to the watercolor painting by Williard Bond  that previously hung in his office. 13. The above supersedes and replaces all  previous agreements concerning Spherix’s obligations to Gil and Karen  concerning their employment, including but not limited to employment and  retirement plan agreements as well as the above described exit agreements.  14. As is the case with respect to other members of the Board of Directors of  Spherix, Gil and Karen will not make statements regarding Spherix to  government agencies, investment institutions and the press/external news  agencies as Spherix management will continue to be responsible for these  matters. Please sign and return this letter evidencing your agreement with  the foregoing. Sincerely, Robert J. Vander Zanden, on behalf of the remainder  of the Board of Directors of Spherix Incorporated AGREED: Gilbert V. Levin M.  Karen Levin Spherix Incorporated 12051 Indian Creek Court, Beltsville,  Maryland 20705 Tel.: +1 301 419 3900 • Fax: +1 301 210 4908 |
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