You can add wonderful effects of LED patterns in your old-fashioned analog quartz clock. For this you’ll not be requiring more than 60 LEDs to display the seconds.You can find here a similar post at 74xx contest entry where you can have the flavor of 2 selectable modes:
Mode 1: Every second, each LED is activated one after another. After 1 minute, all LEDs are on. Then every second each LED is deactivated one after another. After 1 minute, all LEDs are off. This is continuosly repeated, so the seconds are visualized by LEDs.
Mode 2: In this mode, you will have full control of the displayed LED patterns.
The backside view showing the interconnections is shown:
The circuit schematic for this will help you to understand the operation in a better way.