A laptop computer support platform on which a portable personal computer may be rested, comprising a) a support platform base having a top surface. b) one or more laptop support members projecting from said top surface of the platform base and contacting said portable personal computer resting on the computer support platform, thereby creating a heat insulating pocket of air between said top surface of the support platform and said portable personal computer, and c) at least one support platform base member under said one or more projecting laptop support members, the at least one base member being made of a semi-flexible material of less rigidity than the one or more projecting laptop support members. wherein each laptop support member is provided with at least one male portion which is secured in a hole in the at least one base member, each laptop support member is secured to said at least base member by means of fastening members provided on that side of the base member which is opposite that side of the base member where the support member is located, and wherein the laptop support member and the fastening members are connected with one another through said hole, said at least one laptop support base member is accommodated in a casing, wherein said base member is a single top base member in said casing and has an extension in a plane parallel with said top surface substantially corresponding to the extension of said top surface, said casing contains a cushion under the flexible laptop support member, which cushion is filled with a soft or granular material (5 a), and wherein the casing is made of a textile material, which is provided with holes corresponding with the holes of the base member. a) a support platform base having a top surface. b) one or more laptop support members projecting from said top surface of the platform base and contacting said portable personal computer resting on the computer support platform, thereby creating a heat insulating pocket of air between said top surface of the support platform and said portable personal computer, and c) at least one support platform base member under said one or more projecting laptop support members, the at least one base member being made of a semi-flexible material of less rigidity than the one or more projecting laptop support members. wherein each laptop support member is provided with at least one male portion which is secured in a hole in the at least one base member, each laptop support member is secured to said at least base member by means of fastening members provided on that side of the base member which is opposite that side of the base member where the support member is located, and wherein the laptop support member and the fastening members are connected with one another through said hole, said at least one laptop support base member is accommodated in a casing, wherein said base member is a single top base member in said casing and has an extension in a plane parallel with said top surface substantially corresponding to the extension of said top surface, said casing contains a cushion under the flexible laptop support member, which cushion is filled with a soft or granular material (5 a), and wherein the casing is made of a textile material, which is provided with holes corresponding with the holes of the base member.