1. **Problem Statement:** The questions relate to analyzing 3D cube structures, their levels, factors, and connections in the given images. 2. **Understanding the Problem:** We need to identify lower levels, factor connections, and symmetrical parts in the cube structures. 3. **Step 1:** Identify the lower levels and connected parts in the stepped pyramid (top-left image). The lower levels are the base layers where cubes are stacked. 4. **Step 2:** For the minimum factors in the structures, observe the cubes that hold the structure together without gaps or breaks. 5. **Step 3:** Symmetrical equations relate to the balanced parts of the cube clusters, especially in the 3x3 cluster with a missing cube (center image). 6. **Step 4:** The minimum factors holding the levels together are the cubes that connect layers vertically and horizontally without interruption. 7. **Step 5:** To identify the necessary connections for the base layers, look for cubes that support upper layers and maintain stability. 8. **Step 6:** The creator of the space in the images is the arrangement of cubes forming the stepped and L-shaped blocks. 9. **Step 7:** The cube connections in the images are the touching faces of adjacent cubes, forming continuous structures. 10. **Step 8:** The remaining cube connections in the minimum group are those that maintain the integrity of the structure after removing some cubes. 11. **Step 9:** The red and blue-purple parts in the Rubik's cube images represent different colored cube faces; identifying the 36 small cubes involves counting all visible small cube faces. 12. **Step 10:** The base or floor in the images is the lowest layer of cubes supporting the entire structure. **Final Answer:** The questions require careful observation of cube arrangements, levels, and connections in the images to identify lower levels, factor connections, symmetrical parts, and base supports.