The Material > Environment sub-palette has controls for material shadows and ambient occlusion in BPR renders.
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Material > Environment sub-palette
Shadow
Apply BPR shadows. Use this slider to control the intensity of the shadows being cast on a Tool and/or SubTool(s) using the selected assigned material. The Render > BPR Shadow settings then control the quality of shadows being cast onto the Tool and/or SubTool(s).
Ao
Apply BPR Ambient Occlusion. Controls the intensity of ambient occlusion being applied to a Tool and/or SubTool(s) using the selected assigned material. Ambient occlusion darkens surfaces that are close to other surfaces (such as where a wall intersects with the floor), simulating how shade naturally pools in areas where surfaces are close together. The Render > BPR Ao settings then control the quality of the ambient occlusion being applied to the Tool and/or SubTool(s).
Vibrant Shadows and Ao
When the Vibrant Shadows and Ao button is pressed shadows will have a more saturated color. This option can be turned on or off individually for each shader channel.