Multi-dimensional object rearrangement

1. An electronic device, comprising:

a display device;

one or more processors; and

memory storing one or more programs configured to be executed by the one or more processors, the one or more programs including instructions for:

displaying, via the display device, a plurality of application icons for launching application programs, the plurality of application icons arranged in a first configuration, wherein the plurality of application icons occupy respective locations on a hexagonal grid in relation to an origin;

detecting an input that corresponds to a request to remove a first application icon from the hexagonal grid;

in response to the input:

removing the display of the first application icon;

determining a second configuration of the plurality of application icons without the first application icon; and

transitioning the display of the plurality of application icons from the first configuration to the second configuration, wherein:

in accordance with a determination that the first application icon is at a first location, moving a second application icon radially inward in a first direction while maintaining a location of a third application icon; and

in accordance with a determination that the first application icon is at a second location, moving the third application icon radially inward in a second direction different from the first direction while maintaining a location of the second application.

2. The electronic device of claim 1 ,

wherein removing the display of the first application icon results in an unoccupied location on the hexagonal grid at the first location; and

wherein transitioning the display of the plurality of application icons includes moving a display of the second application icon from a third location to the unoccupied location, wherein the third location is diagonally adjacent to the first location with respect to the display.

3. The electronic device of claim 1 , wherein the input includes a contact detected at a position corresponding to one of the plurality of application icons.

4. The electronic device of claim 3 , wherein the instructions further include:

determining whether a duration of the contact exceeds a predetermined threshold;

wherein the electronic device is caused to operate in a user interface reconfiguration mode in response to detecting the input and in accordance with a determination that the duration of the contact exceeds the predetermined threshold.

5. The electronic device of claim 4 , wherein the instructions further include:

in response to detecting the input and in accordance with a determination that the duration of the contact does not exceed the predetermined threshold:

launching the application program corresponding to the application icon at the position of the contact.

6. The electronic device of claim 1 , wherein the first location is adjacent to the origin, and wherein the second location is adjacent to the origin.

7. The electronic device of claim 6 , wherein transitioning the display of the plurality of application icons from the first configuration to the second configuration includes:

in accordance with a determination that the first application icon is at a fourth location, moving a fourth application icon radially inward in a third direction while maintaining the location of the second application icon and maintaining the location of the third application icon, wherein the third direction is different from the first direction and the second direction, and wherein the fourth location is adjacent to the origin.

8. The electronic device of claim 1 , wherein the first direction is opposite the second direction.

9. A method, comprising:

at an electronic device with a display device:

displaying, via the display device, a plurality of application icons for launching application programs, the plurality of application icons arranged in a first configuration, wherein the plurality of application icons occupy respective locations on a hexagonal grid in relation to an origin;

detecting an input that corresponds to a request to remove a first application icon from the hexagonal grid;

in response to the input:

removing the display of the first application icon;

determining a second configuration of the plurality of application icons without the first application icon; and

transitioning the display of the plurality of application icons from the first configuration to the second configuration, wherein:

in accordance with a determination that the first application icon is at a first location, moving a second application icon radially inward in a first direction while maintaining a location of a third application icon; and

in accordance with a determination that the first application icon is at a second location, moving the third application icon radially inward in a second direction different from the first direction while maintaining a location of the second application.

10. The method of claim 9 ,

wherein removing the display of the first application icon results in an unoccupied location on the hexagonal grid at the first location; and

wherein transitioning the display of the plurality of application icons includes moving a display of the second application icon from a third location to the unoccupied location, wherein the third location is diagonally adjacent to the first location with respect to the display.

11. The method of claim 9 , wherein the input includes a contact detected at a position corresponding to one of the plurality of application icons.

12. The method of claim 11 , further comprising:

determining whether a duration of the contact exceeds a predetermined threshold;

wherein the electronic device is caused to operate in a user interface reconfiguration mode in response to detecting the input and in accordance with a determination that the duration of the contact exceeds the predetermined threshold.

13. The method of claim 12 , further comprising:

in response to detecting the input and in accordance with a determination that the duration of the contact does not exceed the predetermined threshold:

launching the application program corresponding to the application icon at the position of the contact.

14. The method of claim 9 , wherein the first location is adjacent to the origin, and wherein the second location is adjacent to the origin.

15. The method of claim 14 , wherein transitioning the display of the plurality of application icons from the first configuration to the second configuration includes:

in accordance with a determination that the first application icon is at a fourth location, moving a fourth application icon radially inward in a third direction while maintaining the location of the second application icon and maintaining the location of the third application icon, wherein the third direction is different from the first direction and the second direction, and wherein the fourth location is adjacent to the origin.

16. The method of claim 9 , wherein the first direction is opposite the second direction.

17. A non-transitory computer-readable storage medium storing one or more programs configured to be executed by one or more processors of an electronic device with a display device, the one or more programs including instructions for:

displaying, via the display device, a plurality of application icons for launching application programs, the plurality of application icons arranged in a first configuration, wherein the plurality of application icons occupy respective locations on a hexagonal grid in relation to an origin;

detecting an input that corresponds to a request to remove a first application icon from the hexagonal grid;

in response to the input:

removing the display of the first application icon;

determining a second configuration of the plurality of application icons without the first application icon; and

transitioning the display of the plurality of application icons from the first configuration to the second configuration, wherein:

in accordance with a determination that the first application icon is at a first location, moving a second application icon radially inward in a first direction while maintaining a location of a third application icon; and

in accordance with a determination that the first application icon is at a second location, moving the third application icon radially inward in a second direction different from the first direction while maintaining a location of the second application.

18. The non-transitory computer-readable storage medium of claim 17 ,

wherein removing the display of the first application icon results in an unoccupied location on the hexagonal grid at the first location; and

wherein transitioning the display of the plurality of application icons includes moving a display of the second application icon from a third location to the unoccupied location, wherein the third location is diagonally adjacent to the first location with respect to the display.

19. The non-transitory computer-readable storage medium of claim 17 , wherein the input includes a contact detected at a position corresponding to one of the plurality of application icons.

20. The non-transitory computer-readable storage medium of claim 19 , wherein the instructions further include:

determining whether a duration of the contact exceeds a predetermined threshold;

wherein the electronic device is caused to operate in a user interface reconfiguration mode in response to detecting the input and in accordance with a determination that the duration of the contact exceeds the predetermined threshold.

21. The non-transitory computer-readable storage medium of claim 20 , wherein the instructions further include:

in response to detecting the input and in accordance with a determination that the duration of the contact does not exceed the predetermined threshold:

launching the application program corresponding to the application icon at the position of the contact.

22. The non-transitory computer-readable storage medium of claim 17 , wherein the first location is adjacent to the origin, and wherein the second location is adjacent to the origin.

23. The non-transitory computer-readable storage medium of claim 22 , wherein transitioning the display of the plurality of application icons from the first configuration to the second configuration includes:

in accordance with a determination that the first application icon is at a fourth location, moving a fourth application icon radially inward in a third direction while maintaining the location of the second application icon and maintaining the location of the third application icon, wherein the third direction is different from the first direction and the second direction, and wherein the fourth location is adjacent to the origin.

24. The non-transitory computer-readable storage medium of claim 17 , wherein the first direction is opposite the second direction.